Question

Question 11 A group of 42 college students from a certain liberal arts college were Type numbers in the boxes randomly sampled and asked about the number of alcoholic drinks they have to points in a typical week. 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 in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73. The group of 42 students in the study reported an average of 5.31 drinks per with a standard deviation of 3-93 drinks. Find the p-value for the hypothesis test. The p-value should be rounded to 4-decimal places.

Answer 1

Population Mean = 4.73

Sample Mean (x) = 5.31

Sample Std Dev (s) = 3.93

Sample Size (n) = 42

Alpha = 0.05

Null and Alternate Hypothesis

H₀: µ = 4.73

H_a: µ <> 4.73

Test Statistic

t = (5.31 – 4.73) / (3.93/42^1/2) = 0.96

p-value = TDIST(0.96,42-1,2) = 0.3445

Result

Since the p-value is greater than 0.05, we fail to reject the null hypothesis.