Question: A class survey in a large class for first-year college students asked, About how many minutes do you study on a typical weeknight? The mean

A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 287 students wasx= 143 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation

= 65 minutes in the population of all first-year students at this university. Regard these students as an SRS from the population of all first-year students at this university. Does the study give good evidence that students claim to study more than 2 hours per night on the average?

(a) State null and alternative hypotheses in terms of the mean study time in minutes for the population.

(b) What is the value of the test statisticz

z?

(c) Can you conclude that students do claim to study more than two hours per weeknight on the average?

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