Answer to Question #325817 in Statistics and Probability for Agnes

Question

You are apart-time crew at a fast food chain.Suppose you serve a certain number of customers every hour.10,12,14 in 3 hours you have served.Assume that samples of size n=2 are randomly selected without replacement from the population.Find the population mean μ and the mean of the sampling distribution of the means

Answer 1

Population mean:

$\mu=\cfrac{10+12+14}{3}=12.$

According to the properties of sampling distributions of sample means, the mean of the sampling distribution of sample means is equal to the population mean:

$\mu_{\bar x} =\mu=12.$