Question

Assume a recent sociological report states that university students drink 5.70 alcoholic drinks per week on average, with a standard deviation of 1.7201. Suppose Jason, a policy manager at a local university, decides to take a random sample of 170 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.

Answer 1

Mean= 5.70

Standard deviation= 0.132

Explanation:

For the distribution of sample mean:

Mean of the sampling distrubution = \mu = 5.70

Standard deviation of the sampling distrubution = sigma/sqrt{n} = 1.7201 /sqrt{170} = 0.132