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A simple random sample of 100 employees is used to test if the average time postal employees have worked for the postal service has changed

A simple random sample of 100 employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded a year ago. the sample mean was 7 years, and the standard deviation was 2 years. Assume its normal distribution.

a. test the mean hypothesis that the mean time worked is different than 7.5 years. Report hypothesis, test static, P-value, and conclusion, with 5% significance level.

b. what is the 95% confidence interval for the population mean time the postal service employees have spent with the postal service?

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