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A random sample of 36 students shows that the mean number of hours spent each night...

A random sample of 36 students shows that the mean number of hours spent each night on homework is 2.5 hours, with a standard deviation of 0.75 hours. (Study time is assumed to be normally distributed.) He has expressed concern that this mean is lower than in the past when 3.0 hours was the norm. Use a one sample test of the means (at 95% confidence) to determine if his concern is justified. Is it?

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Answer #1

To test

vs

n=36

S=0.75

Test

P value=P(T<t)=P(T<-4)=0.0002

Rejection Rule: Reject Ho if p value is less than significance level.

Here p value is less than significance lavel of 0.05

Hence we reject the null hypothesis and conclude that

Mean number of hours spent each night on homework is less than 3 hours

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