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Normal Probability : Sampling Distribution

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Please provide help with this sample. I had miss this lecture last week and seem to be confuse towards getting the answer. See the attached file.

The amount of time a bank teller spends with each customer has a population mean, u, of 3.10 minutes and standard deviation, 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?

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Solution Summary

The solution provides step-by-step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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