A study on students drinking habits wants to determine the true average number of alcoholic drinks all UF male students have in a one week period. We know from preliminary studies that the standard deviation is around 5. How many students should be sampled to be within 1 drink of the population mean with 95% probability? Group of answer choicesA. 49 B. 97 C. 25 D. 10

B. 97

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

How many students should be sampled to be within 1 drink of the population mean with 95% probability?

This is n when

We know from preliminary studies that the standard deviation is around 5, so

We round up, so the correct answer is:

B. 97

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