A random sample was selected from the female sophomores at a

A random sample was selected from the female sophomores at a school, and another independent random sample was selected from the male sophomores at the same school. Each student was asked how many hours they study each day. The summary statistics are given below. Hours of Study (per day) a. Estimate the difference in mean study hours per day for all the sophomore males and females at this school, with confidence level 0.99. 13e sure to verity that the conditions for computing a confidence level are met in this case. b. Test the claim, at the 005 level of significance, that female sophomores at this school study more hours, on average, than male sophomores.

Solution

M1-M2=4.124-3.271=0.853
sd=2.4298; se=0.4296
99% CI of difference:
-0.2536 <0.853< 1.9596

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H0: mu1 =mu2

Ha: mu1 >mu2

one sided hypothesis test.

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t statistic =1.986

df = 31

p = 0.97216

As p value >alpha 0.05 accept null hypothesis.

There is no statistical evidence to show that females are studying more time than males.