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A study on students drinking habits asks a random sample of 60 male uf students how many alcoholic beverages they have consumed in the past week. The sample reveals an average of 5. 84 alcoholic drinks, with a standard deviation of 4. 98. Construct a 95% confidence interval for the true average number of alcoholic drinks all uf male students have in a one week period.

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Answer:

Using the t-distribution, the 99% confidence interval for the true average number of alcoholic drinks all UF female students (over 21) have in a one week period is (3.25, 4.85).

We have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, thus:

Then, using a calculator, with  and 169 df, we have that the two-tailed critical value is .

The margin of error is:

In this problem, , then:

The confidence interval is:

In this problem, , then:

The confidence interval is (3.25, 4.85).

Step-by-step explanation:

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