Posted: February 10th, 2017

The amount of time a bank teller spends with each customer has a population mean m_{x } = 3.1 minutes and population standard deviation s_{x} = 0.4 minute.

a) What is the probability that for a randomly selected customer the service time would exceed 3 minutes?

b) If many samples of 64 were selected, what are mean and standard error of the mean (standard deviation of sample means) expected to be? What is expected to be the shape of the distribution of sample means? Give reasons for all your answers.

c) If a random sample of 64 customers is selected, what is the probability that the sample mean would exceed 3 minutes?

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