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horrorfan [7]
3 years ago
10

Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan

dard deviation of 1.3401. Suppose Jason, a policy manager at a local university, decides to take a random sample of 150 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.
Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\mu_{\bar{x}} = \mu = 5.10

b) Standard deviation of the sampling distribution

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11

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