Section 1-19-10

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Section 1-19-10

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Questions and Answers
  • 1. 
    Suppose we can reject the null hypothesis that u>=50 at the 5% signi ficance level. Which of the following statements is de finitely true?
    • A. 

      We can reject the null hypothesis that u = 50 at the 5% signi ficance level.

    • B. 

      We can reject the null hypothesis that u>= 50 at the 10% signi ficance level.

    • C. 

      The value we obtained for t* was positive

    • D. 

      The value we obtained for t* was greater than the critical value for an upper one-tailed hypothesis test at the 5% signi ficance level.

  • 2. 
    Increasing the sample size used for a two-tailed hypothesis test will tend to:
    • A. 

      Decrease the probability of a Type I error.

    • B. 

      Decrease the probability of a Type II error.

    • C. 

      Increase the probability of a Type I error.

    • D. 

      Increase the probability of a Type II error.

  • 3. 
    Suppose that the 95% confi dence interval for the population mean hours of studying per weekis (6.5; 6.9). Which of the following statements is true?
    • A. 

      You would reject the null hypothesis that u>=6.5 at the 10% significance level

    • B. 

      You would reject the null hypothesis that u

    • C. 

      You would reject the null hypothesis that u=7.1 at the 5% signi ficance level.

    • D. 

      All of the above are true.

  • 4. 
    Which of the following would narrow the con fidence interval for the population mean?
    • A. 

      Decreasing the sample size.

    • B. 

      Decreasing the signi ficance level.

    • C. 

      Both (a) and (b) would narrow the con fidence interval

    • D. 

      Neither (a) nor (b) would narrow the confi dence interval.

  • 5. 
    The probability of a Type I error when doing a two-tailed hypothesis test at a 5% signifi cance level is:
    • A. 

      Equal to the probability of a Type I error when doing a one-tailed hypothesis test at a 2.5% signi ficance level.

    • B. 

      Equal to the probability of a Type I error when doing a one-tailed hypothesis test at a 5% signi ficance level.

    • C. 

      Equal to the probability of a Type I error when doing a one-tailed hypothesis test at a 10% signi ficance level.

    • D. 

      Equal to the probability of a Type I error when doing a one-tailed hypothesis test at a 20% signifi cance level.

  • 6. 
    Which of the following would increase the probability of a Type I error?
    • A. 

      Decreasing the sample size.

    • B. 

      Increasing the sample size.

    • C. 

      Decreasing the signi ficance level.

    • D. 

      Increasing the signi ficance level.

  • 7. 
    Suppose that rather than the sample mean, we use another statistic that we'll call ~X to estimate the population mean. If the distribution of ~X is symmetric, what must be true for~X to be an unbiased estimator for the population mean?
    • A. 

      The distribution of ~X must get narrower as the sample size increases

    • B. 

      The variance of ~X should not depend on the sample size

    • C. 

      The distribution of ~X must be centered at the population mean.

    • D. 

      The value of ~X should approach the population mean as the sample size goes to infi nity

  • 8. 
    The magnitude of the critical value for an upper one-tailed test at a 5% signi ficance level will be:
    • A. 

      Greater than the magnitude of the critical value for a two-tailed test using the same data at a 5% signi ficance level.

    • B. 

      Less than the magnitude of the critical value for a two-tailed test using the same data at a 5% signi ficance level.

    • C. 

      Equal to the magnitude of the critical value for a two-tailed test using the same data at a 5% signi ficance level.

    • D. 

      None of the above.