1. | A researcher wanted to estimate the average amount of money spent per semester on books by BYU students. An SRS of 100 BYU students were selected. They visited the addresses during the Summer term and had those students who were at home fill out a confidential questionnaire. This procedure is |
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2. | The following histrogram is a distribution of Religiosity of 226 people. What percent of these people had Religiosity in the 56-60 Religiosity range? |
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3. | Appropriate graphical summary of the distribution of a categorical variable |
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4. | A researcher wants to know the average dating expenses for BYU single students. The researcher obtained a list of single students from the Records Office who live in the BYU dorms. From this list , 50 students are randomly selected. The 50 students are contacted by phone and the amount they spent on dates are recorded. The average dating expense of the 50 students is $35 with a standard deviation of $8. What is the population of interest? |
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5. | What does probability sampling allows us to do |
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6. | Following is a five-number summary of the number of dates, before getting married, of 100 BYU students. Min Q1 Median Q3 Max 10 40 80 100 500 about 25% of the students participated in more than ______________________ dates before getting married. |
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7. | Which research method can show a cause and effect relationship between the explanatory and response variables? |
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8. | Given the figure below: If basketballs X, Y, and Z are added to the group of five balls at the left, how will the standard deviation of the volume of the new 8 balls compare with the standard deviation of the volume of the original set of 5? The standard deviation of the volume of the new set of 8 balls will be _________ the standard deviation of the volume of the original 5 balls. Fill in the blank. |
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9. | The standard deviation of Stats221 Final scores for a sample of 200 students was 10 points. An interpretation of this standard deviation is that the |
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10. | After a Church game, Jeremiah scored 40 points. His coach, who is a Statistics teacher, told him that the standardized score (z-score) for his points on the game, is 2.5. What is the best interpretation of this standardized score? |
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11. | For a particular set of data, the mean is less than the median. Which of the following statements is most consistent with this information? |
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12. | Which of the following data sets has the largest standard deviation? |
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13. | Which of the following five statements about the correlation coefficient, r, is true? |
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14. | If the null hypothesis is true, a statistically significant result |
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15. | The following bivariate data was collected. Advertizing 80 95 100 110 130 155 170 Sales 40 55 75 90 220 290 760 Based on these data, which of the following statements is most correct? |
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16. | Certain assumptions should be satisfied and checked with residual plots in order to make valid inferences in regression analysis. Which one of the residual plots below indicates that all the assumptions are met? |
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17. | The following data are from a study of the relationship between Stats221 Test3 scores and the Final scores. The response variable is Final scores (FS) and the explanatory variable is Test3 scores (TS). TS 90 81 75 94 65 FS 88 84 78 93 60 The slope of the least-squares line, b, is equal to 1.4. Which statement is the best interpretation of b? |
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18. | An SRS of households shows a high positive correlation between the number of televisions in the household and the average IQ score of the people in the household. What is the most reasonable explanation for this observed correlation? |
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19. | Which of the following is the conditional distribution for college Majors for students whose last Math class taken was College Algebra? |
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20. | The BYU records office found that 80% of all students who took Stats221 at the BYU Salt Lake Center worked full-time. The value 80% is a |
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21. | The Central limit theorem allows us |
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22. | In a large population of basketball players whose scores are left skewed, the mean score is 16 with a standard deviation of 5. 100 members of the population are randomly chosen for a research study. The sampling distribution of x-bar , the average score for samples of this size is |
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23. | The sampling distribution of a statistic tells us |
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24. | The speed at which cars travel on I-15 has a normal distribution with a mean of 60 miles per hour and a standard deviation of 5 miles per hour. What is the probability that a randomly chosen car traveling on this highway has a speed between 75 and 63 mph? |
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25. | What is the primary purpose of a confidence interval for a population mean? |
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26. | Explain the meaning of “95% confidence interval “. |
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27. | In hypothesis testing, what does the symbol αdenote? |
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28. | The speed at which cars travel on I-15 has a normal distribution with a mean of 60 miles per hour and a standard deviation of 5 miles per hour. What is the probability that a randomly chosen car traveling on this highway is less than the 48 miles per hour? |
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29. | A simple random sample of full-time workers in the U.S. involved 817 full-time employees aged 40-50. They were asked to give their educational level (no high school, high school, some college, bachelor degree, some graduate education) and their level of financial satisfaction with their job (well satisfied, somewhat satisfied, not satisfied). The following MINITAB output is from the chi-square program. Rows are educational levels and columns are satisfaction levels:Ho: The proportions of people who are well satisfied financially are the same for all educational levels.Assuming Ho is true, what is the expected count for people who completed high school and not financially satisfied. |
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30. | A simple random sample of full-time workers in the U.S. involved 817 full-time employees aged 40-50. They were asked to give their educational level (no high school, high school, some college, bachelor degree, some graduate education) and their level of financial satisfaction with their job (well satisfied, somewhat satisfied, not satisfied). The following MINITAB output is from the chi-square program. Rows are educational levels and columns are satisfaction levels: Ho: The proportions of people who are well satisfied financially are the same for all educational levels. Referring to question above, what are the degrees of freedom for the chi-square statistic? |
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31. | A simple random sample of full-time workers in the U.S. involved 817 full-time employees aged 40-50. They were asked to give their educational level (no high school, high school, some college, bachelor degree, some graduate education) and their level of financial satisfaction with their job (well satisfied, somewhat satisfied, not satisfied). The following MINITAB output is from the chi-square program. Rows are educational levels and columns are satisfaction levels: Ho: The proportions of people who are well satisfied financially are the same for all educational levels. Referring to the information above, is a chi-square analysis procedure appropriate for this set of data. |
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32. | A simple random sample of full-time workers in the U.S. involved 817 full-time employees aged 40-50. They were asked to give their educational level (no high school, high school, some college, bachelor degree, some graduate education) and their level of financial satisfaction with their job (well satisfied, somewhat satisfied, not satisfied). The following MINITAB output is from the chi-square program. Rows are educational levels and columns are satisfaction levels: Ho: The proportions of people who are well satisfied financially are the same for all educational levels. Based on the analysis in question 1, we conclude at alpha=0.05 that |
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33. | An experiment is performed to examine the effect of three different dating activities on the rate of marriage of BYU single students. Twenty one subjects are randomly assigned to one of the three dating habits. What are the appropriate null and alternative hypotheses. a. Ho: µ_{1 = }µ_{2 = }µ_{3 }versus Ha: µ_{1 }NE_{ }µ_{2 }NE_{ }µ_{3} b. Ho: µ_{1 = }µ_{2 = }µ_{3 }versus Ha: At least one of the means is different from the others.c. Ho: p_{1 = }p_{2 = }p_{3 }versus Ha: Not all the proportions are equal.d. None of the above. |
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34. | Experiments was conducted on how long in months it takes dating single students get married.For one particular Ward, the mean time is 12 months. Drew thinks that getting a 2% extra credits in Stats class for dating cause these students to marry faster. He plans to measure how long it takes for 20 dating students to get married with the extra credits as a stimulus. What are the appropriate Ho and Ha?a. Ho: µ = 20 versus Ha: µ < 20b. Ho: µ = 12 versus Ha: µ < 12c. Ho: µ = 12 versus Ha: µ > 12 d. Ho: µ = 12 versus Ha: µ NE 12e. None of the above. |
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35. | Consider the following hypothesis:Ho: the incentive of 2% extra credits does not speed up marriage.Ha: the incentive of 2% extra credits does speed up marriage. Which of the following describes a Type I error? |
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36. | Data on length of time to get married from the first date can be approximated by a Normal distribution with mean 3.5 months with a standard deviation of 0.3 month. Between what two values are the middle 95 of all lengths of time to get married from the first date? |
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37. | Which of the following is an appropriate graphical summary for displaying the relationship between bivariate quantitative variables? |
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38. | A SRS of 64 BYU students found that the average GPA was x-bar=2.7. A 95% confidence interval for the population average GPA is calculated to be (2.63, 2.77). Which action below would result in a larger confidence interval? |
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39. | Suppose that you were told that the statistical power of a test is 0.95. What does this mean? |
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40. | A researcher wants to determine whether the time spent practicing free-throws after practice sessions can be used to predict the percentage free-throws in a game. What is the explanatory variable? |
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41. | The following histrogram is a distribution of Religiosity of 226 people. How many of these people had Religiosity less than 34 Religiosity range? |
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42. | The mpg using a clean air filter and a dirty air filter were compared. Each of the 10 cars was tested using a clean air filter and a dirty air filter. For clean air filter, the mean mpg was 25 with a standard deviation of 3.21. For dirty air filter, the mean mpg is 22.3 with a standard deviation of 3.09. For each of the 10 cars, the difference between the mpg for clean air filter and the mpg for the dirty air filter was also computed. The mean of the 10 differences was 2.8 with a standard deviation of 0.919. What is the value of the tests statistic for this matched pairs test? |
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43. | BYU Creamery sells 16-ounce box of ice cream. The weight of the contents of a box of ice cream has a Normal distribution with mean=16 and a standard deviation of 1.1 ounces. AN SRS of 16 boxes of ice cream is to be selected and weighed and the average weight of the 16 boxes computed. What is the probability that the average weight will be less than 15.3 ounces? |
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44. | BYU Creamery sells 16-ounce box of ice cream. The weight of the contents of a box of ice cream has a Normal distribution with mean=16 and a standard deviation of 1.1 ounces. AN SRS of 16 boxes of ice cream is to be selected and weighed and the average weight of the 16 boxes computed.If we did not know that weight of boxes of ice cream is Normally distributed, would it be appropriate to compute the approximate probability that x-bar is less than 15.3 ounces using the standard Normal distribution? |
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45. | An An NBA researcher believes that less than less than 60% of the professional players complete college education. A random sample of 100 players yields 58 who did not complete college education. The test statistic for testing Ho: p = 0.60 versus Ha: p < 0.60 is z= -1.94. What is the correct conclusion at the 0.01 significance level? |
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46. | Certain assumptions should be satisfied and checked with residual plots in order to make valid inferences in regression analysis. Which one of the residual plots below indicates that the condition of equal variances in NOT met? |
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47. | A study of free-throw shooting technique in JR. Jazz leagues compared random samples of players who choose different techniques of free-throw shooting. One group only shot using the traditional method. The players in another group were asked to shoot using the new method. Here are the results on free-throw shooting percentages:The hypotheses for this test were : Ho: Mean for New= Mean for Traditional andHa: Mean for New > Mean for Traditionalwith P-value = 0.0018. If alpha=0.05, what can the researchers conclude? |
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48. | The BYU Admisnistration is planning a student opinion poll.. Initially they suggest s ample size of 500. But upon investigation it is discovered that this will give rise to a margin of error that is too large. What should the administration do to correct this? |
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49. | The BYU Admisnistration is planning a student opinion poll.. Initially they suggest s ample size of 500. But upon investigation it is discovered that this will give rise to a margin of error that is too small. What should the administration do to correct this? |
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50. | What is the definition of a P-value for a significance test? |
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51. | A FOX News report claims a margin of error 4% with 95% confidence when reporting the proportion of people who oppose the gay marriage initiative. Which of the following is the best interpretation of this margin of error? |
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52. | Several weeks before an election a local newspaper reporter randomly surveyed 500 local residents and asked each respondent which mayoral candidate they were preferred. Of the 500 residents, 273 were planning on voting for Mack Smith. During a debate one week before the election, Smith made an unfortunate remark. After the debate, the reporter took a new random survey of 450 residents. In this survey, 235 still planned on voting for Smith. A researcher wants to know if there was a significant decrease in the proportion of voters planning to vote for Smith after the unfortunate remark. In order to compare the proportion of voters planning to vote for Smith , what type of inference should be used?before the remark and after the remark |
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53. | Coach Sloan claims that by using his method of shooting, basketball players can increase their scores by an average of 15 points. Wesley, a former basketball player is skeptical of this claim and wants to test the hypotheses: Ho: =15 versus Ha: <15 where represents the mean increase in scores of the population of all basketball players who have used the Sloan method. Wesley collects data from an SRS of 25 players who use the Sloan method. He finds that the sample mean increase in scores of these 25 players is 13 points with s=7. Assuming that the distribution of their scores is approximately normal, what is the p-value for this test? |
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54. | Coach Sloan claims that by using his method of shooting, basketball players can increase their scores by an average of 15 points. Wesley, a former basketball player is skeptical of this claim and wants to test the hypotheses: Ho: =15 versus Ha: <15 where represents the mean increase in scores of the population of all basketball players who have used the Sloan method. Wesley collects data from an SRS of 25 players who use the Sloan method. He finds that the sample mean increase in scores of these 25 players is 13 points with s=7. What is the 95% confidence interval for the population mean? |
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55. | The BYU Student Services conducted a student preference survey by taking a random sample from BYU-Provo, BYU-Idaho and BYU-Hawaii. The respondents were asked,"Do you prefer RMs or non-RMs or Non-LDS to date?" The percentages of respondents who preferred RMs in each of the three campuses were compared. What was the correct null hypothesis for this study? |
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56. | There are 3 main campuses fro BYU: Provo, Idaho, and Hawaii. The BYU Student Services conducted a student preference survey by taking a random sample from BYU-Provo, BYU-Idaho and BYU-Hawaii. The respondents were asked,"Do you prefer RMs or non-RMs or Non-LDS to date?" The percentages of respondents who preferred RMs in each of the three campuses were compared. What is the sampling design used in this study? |
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57. | A researcher for Presidential approval rating periodically conducts polls to estimate the proportion of people who agree that Pres. Obama is going a good job on the economy. The . researcher plans to triple the sample size in the polls. Why does the researcher plan to triple the sample size? |
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58. | Coach Sloan is testing a new method of shooting free-throw and plans to randomly assign 20 players to the new method and 24 players to the current method. The mean percentage free-throw will then be compared between these two groups. What type of study is this? |
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59. | Why do we do randomization in an experiment? |
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60. | What is the definition of the least squares regression line? |
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61. | What is the advantage of randomized block design over a completely randomized design? |
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62. | The table below gives the highest points scored by a player in a given year in the NBA from 2000 to 2009. What is the median number of points for these data? 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 49 55 51 45 69 62 47 57 64 65 |
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63. | The level of good cholesterol in blood samples of 40 randomly selected middle-aged men is measured at the start of a two-month study. The men participated in the same exercise routine for the two-month period and then the level of good cholesterol is measured again. Researchers want to compare the mean levels of the good cholesterol and in order to do this, they should perform |
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64. | After a statistical investigation, a researcher reports that “ in our sample, average expenses for a date was significantly higher (P-value=0.02) for married BYU students than for single BYU students.” What does the p-value in this statement tell us? |
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65. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 What is the percentage of variation in jaw width explained by the least squares regression on length? |
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66. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 What is the p-Value for testing Ho: slope = 0 versus Ha: slope NOT Equal 0 |
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67. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 |
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68. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length.Correlation coefficient: 0.8749Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 What is the 95% confidence interval for the slope? |
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69. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 How does a 95% prediction interval for the jaw width of a shark with jaw length of 15 feet compare with a 95% confidence interval for the mean jaw width of all sharks with jaw length of 15 feet? |
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70. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 Which interval should we use to estimate the jaw width of a newly born shark? |
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71. | Consider the following regression output on the relationship between jaw width(in inches) of a shark (response variable) and length (in feet) of the shark (explanatory variable) for a random sample of 24 sharks. Scientists are interested in predicting a shark's jaw width from its length. Correlation coefficient: 0.8749 Estimate of sigma: 1.3757417 Parameter Estimate Std. Err. DF T-stat P-value Intercept 0.687864 1.299051 22 0.529513 0.5992 length 0.96345 0.082276 22 11.70994 <.0001 What is the predicted jaw width of a shark that is 15 feet in length? |
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72. | A researcher from the A researcher from the NBA randomly sampled professional basketball players and obtained information about each player's attitude toward gambling restrictions (agree, strongly agree, disagree, etch.) and the player's division (whether pacific, west, east, or south) Testing the relationship between player attitudes and player's division, a P-value of 0.027 was computed. Using alpha=0.05, the researcher decided to reject the null hypothesis. Which one of the following conclusions is most appropriate for these results. |
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73. | What does the standard error of x-bar estimate? |
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74. | A quality control person inspects batches of bluray discs to make inferences about the proportion p in the shipment with major defects. A batch is rejected if it can be determined that more than 5% of the batches has defects. He selects an SRS of 200 bluray discs from the thousands in a particular batch. Thirteen of the sampled bluray discs are found to have major defects. He wishes to test the following H: p=0.05 versus Ha: p > 0.05. Why can we use the standard Normal distribution to find the P-Value? |
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75. | What is the sampling distribution of p-hat? |
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76. | Suppose we are testing Ho: mean=70 versus Ha: mean > 70, and we obtain x-bar=64 and s=10 for a random sample of size 36. What is the value of the t test statistic? |
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77. | When do we declare a result to be statistically significant? |
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78. | Swine flu is a serious health problem. A study was conducted to see whether taking Terraflu would prevent the serious effect of swine flu. Of the 500 subjects who were diagnosed with swine flu, 280 were randomly assigned to receive the Terraflu and 220 did not receive the Terraflu. The researchers tested the hypotheses Ho: p1 = p2 versus Ha: p1 < p2 where p1 represents the proportion of those receiving the Terraflu who developed serious effect due to swine flu and p2 represents the proportion of those in the control group (no Terraflu) who deveoped serious effect due to swine flu. The data yielded a P-value of 0.336. On the basis of this P-value, can you conclude that taking Terraflu prevents serious effect of the swine flu at alpha=0.05? |
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79. | The BYU Administration plans to conduct a survey among BYU single students to determine the proportion of single students who go out on a date every week. How many single students must be polled to estimate this proportion to within 0.04 with 95% confidence? |
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80. | In practice, if the assumption of normality of the population is not met and n < 40 , confidence levels and P-values for t procedures are approximately correct provided: |
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81. | If we want to determine whether political party affiliation and opinion regarding health care reforms are related, what statistical procedure should we sue? |
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82. | Standard deviation of the sampling distribution of p-hat. |
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83. | Standard error of x-bar. |
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84. | Mean of the sampling distribution of x-bar. |
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85. | Mean of the sampling distribution of p-hat. |
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86. | If a result is statistically significant, then either the null hypothesis is false or a type I error was committed. |
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87. | We assume Ho is false whenever we perform a test of significance. |
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88. | A result that is statistically significant will also be practically significant. |
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89. | When n=60, the standard deviation of the sampling distribution of x-bar will be smaller than the standard deviation of the population. |
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90. | The more serious the consequences of Type II error, the smaller alpha should be set. |
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91. | The sampling distribution of p-hat is more spread out when n=300 than when n=150. |
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92. | The mean of the theoretical sampling distribution of x-bar is always equal to the population mean. |
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93. | Testing multiple null hypotheses using the same data set increases the overall probability of making a type I error. |
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94. | The shape of the sampling distribution of p-hat becomes approximately Normal as n gets large. |
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