In: Statistics and Probability
An article was released claiming that students study a mean of 250 hours per semester. You want to gather data to prove that the mean study time per semester for students is actually more than 250 hours. You take a sample of the students and find their mean study time to be 265 hours per semester with a standard deviation of 70 hours. Answer the following questions using α = .1
a) State the null and alternative hypotheses.
State the rejection rule, find the test statistic, and conclude whether or not you reject the null hypothesis (and with how much confidence) if:
b) the sample consisted of 25 students.
c) the sample consisted of 100 students.