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A group of 75 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.Let μ be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.

Question

A group of 75 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.Let μ be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.

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Solution

The hypotheses that are being tested in this problem are:

Null Hypothesis (H0): μ = 4.73 - This states that the mean number of alcoholic drinks that students at the college have in a typical week is equal to the mean of U.S. college students in general.

Alternative Hypothesis (H1): μ ≠ 4.73 - This states that the mean number of alcoholic drinks that students at the college have in a typical week is not equal to the mean of U.S. college students in general.

These hypotheses will help determine if there is a significant difference between the drinking habits of the students at this particular college and the drinking habits of college students in general.

This problem has been solved

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