5 Questions

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Questions and Answers

- 1.For a class project, Charlotte recorded the heights of all 28 students in her class and calculated several statistics. She then realized she made an error recording the height of the tallest person in the class. She correctly had him listed as the tallest, but needed to add two inches to his recorded height to correct it. Which of these measures of spread must remain unchanged?
- A.
Maximum

- B.
Standard deviation

- C.
Variance

- D.
Interquartile range

- E.
Range

- 2.A large company grants its hourly employees pay raises after their six-month performance review. The amounts of the raises average $0.25 per hour, with a standard deviation of $0.05 per hour. Let Ŷ represent the average pay raise of 50 randomly selected hourly employees. Which calculation would give the approximate probability that Ŷ is at least $0.30 per hour?
- A.
A

- B.
B

- C.
C

- D.
D

- E.
E

- 3.The back-to-back stemplot below shows the daily high temperatures for the month of October for two cities in different regions of the country. Which of the following statements is true?
- A.
The range of the October temperatures for Hendersonville is greater than the range of October temperatures for Sheboygan.

- B.
The median October temperature for Hendersonville is less than the median October temperature for Sheboygan.

- C.
The median of the October temperatures for Hendersonville is greater than the third quartile of the October temperatures for Sheboygan.

- D.
The mean of the October temperatures for Hendersonville is less than he mean of the October temperatures for Sheboygan.

- E.
The interquartile range of the October temperatures for Hendersonville is about the same as the interquartile range of the October temperatures for Sheboygan.

- 4.A wildlife study found a cheap and easy way to estimate the number of nesting sites of terns (a type of seabird) by monitoring the number of calls heard per minute. More calls happen when there are more birds. In fact, it turned out that the number of calls explained 71% of the variation in the abundance of nests between breeding sites. Which of the following statements is correct about the correlation between the number of calls and the abundance of nests?
- A.
The correlation coefficient is -0.71.

- B.
The correlation coefficient is 0.71.

- C.
The correlation coefficient is -0.84.

- D.
The correlation coefficient is 0.84.

- E.
The slope of the regression line is needed to determine the correlation.

- 5.Students in a statistics class, as part of an activity, measured the length of their hair in inches. Summary statistics are shown below. Which of the following statements is true?
- A.
Seventy-five percent of the students had hair at least 18.5 inches long.

- B.
Fifty percent of the students had hair between 9.18 and 29 inches long.

- C.
Fifty percent of the students had hair between 2 and 18.5 inches long.

- D.
The distribution of hair lengths can be appropriately modeled by a normal distribution.

- E.
The distribution of hair lengths has at least one outlier.