Question: Now you are going to do some calculations for the delivery times for each week using the mean delivery time which is 23 minutes and

Now you are going to do some calculations for the delivery times for each week using the mean delivery time which is 23 minutes and the standard deviation which was 20 minutes.
(a) Describe the sampling distribution of, the sample mean delivery time for a random sample of 120 deliveries.
Is the sampling distribution normally distributed? Explain.
Calculate and for the sampling distribution of the sample mean when the sample size is 120. (Round 4 decimals if needed)
(b) What is the probability that the mean delivery time for a random sample of 120 deliveries is less than 30 minutes? Round 4 decimals.
(c) What is the probability that a random sample of 120 deliveries has a mean delivery time greater than 30 minutes? Round 4 decimals.

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