Question

In: Statistics and Probability

The Dean of ASBE School of Business is concerned that grades in the MBA program are...

The Dean of ASBE School of Business is concerned that grades in the MBA program are distributed appropriately. Too many high grades or too many low grades would pose a problem. We wish to test the claim that the mean GPA of ASBE students is smaller than 3.6 at the .01 significance level.

The null and alternative hypothesis would be:

  • H0:μ=3.6
    Ha:μ<3.6
  • H0:p=3.64/4
    Ha:p≠3.64/4
  • H0:p=3.6/4
    Ha:p>3.6/4
  • H0:p=3.6/4
    Ha:p>3.6/4
  • H0:μ=3.6
    Ha:μ>3.6
  • H0:p=3.6/4
    Ha:p<3.6/4
  • H0:μ=3.6
    Ha:μ≠3.6
  • The test is:

    two-tailed

    right-tailed

    left-tailed



    Based on a sample of 20 student grades, the sample mean GPA was 3.55 with a standard deviation of 0.08

    The test statistic is:  (Round to 3 decimals)

    Based on this we:
  • Fail to reject the null hypothesis
  • Reject the null hypothesis

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