Probability of the mean time spent per customer

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Question: The amount of time a bank teller spends with each customer has a population mean, μ, of 3.10 minutes and standard deviation, σ, of 0.40 minute. If you select a random sample of 16 customers,

a. what is the probability that the mean time spent per customer is at least 3 minutes?

b. there is an 85% chance that the sample mean is less than how many minutes?

c. What assumption must you make in order to solve (a) and (b)?

d. If you select a random sample of 64 customers, there is an 85% chance that the sample mean is less than how many minutes?

Reference no: EM131689258

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