PLEASE USE MINTAB ONLY TO ANSWER: A random sample of 59 students was selected fr

Question

PLEASE USE MINTAB ONLY TO ANSWER:

A random sample of 59 students was selected from the PSU student data base. Each student was asked their Sex and Height (in inches). Below are the summary results.

A. Using the summary information, estimate by hand with 95% confidence the difference in heights between the sexes and interpret these results.  

B. Is there enough evidence at a 5% level of significance to conclude that males, on average, are taller than females? Include hypotheses, p-value, decision, and conclusion.

C. What assumptions would need to be satisfied in order to safely use and interpret the results?

Explanation / Answer

alpha / 2 = 0.025          t = 2.000

I: 70.12 - 66.10 +/- 2.000 * srqt ( 3.66^2 / 17 + 2.58^2 / 42 )

4.02 +/- 1.9457

2.0743 < miu1 - miu2 < 5.9657

b) there is enough information that the males are more taller tahn females because as you cn see in the interval 0 is not included and there is no negative number in the interval so mean of males is greater than mean of females

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