The freshness of produce at a superstore is rated on a scale of 1 to 5 with

Question:

The freshness of produce at a superstore is rated on a scale of 1 to 5 with 5 being very fresh. From a random sample of 49 customers, the average score was 3.8 with a standard deviation of .7.
(a) Obtain a 95% confidence interval for the population mean, p, the mean score for the of all possible customers.
(b) Does p lie in your interval obtained in part(a)? Explain.
(c) In a long series of repeated experiments, with new random samples of 49 customers each day, what proportion of the resulting confidence intervals will contain the true population mean? Explain your reasoning. Distribution
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