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The population mean waiting time to check out of a supermarket has been known 10.73 minutes...

The population mean waiting time to check out of a supermarket has been known 10.73 minutes with standard deviation of 5.8 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers (known as the multiple-server queuing system). A sample of 100 customers was selected randomly, and their mean waiting time to check out was 9.52 minutes.

A)Is it necessary to assume a normal population distribution to estimate the value of the population mean waiting time (mu)? Explain.

b) What is the chance that sample mean waiting time to check out is less than 9.52 minutes under the old system?

c) In your opinion, is the new system working? Explain

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