(Answered) Criteria that the sample average

Statistics

Problem: A pizza shop claims its average home delivery time is 24 minutes. A sample of 40 deliveries had a sample average of 26.3 minutes. Assume the population standard deviation for theshop's deliveries is 5.5 minutes. Is there support for the shop's claim using the criteria that the sample average of 26.3 minutes falls within the symmetrical interval that includes 95% of the sample means if the true population mean is 24 minutes? The probability that the sample mean is greater than or equal to 26.3? Provide your rationale and any supporting data.

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