7.37 Aunt Erma’s restaurant In Aunt Erma’s Restaurant, the daily sales follow a probability distribution that has a mean of m = $900 and a standard deviation of s = $300. This past week the daily sales for the seven days had a mean of $980 and a standard deviation of $276. Consider these seven days as a random sample from all days.

a. Identify the mean and standard deviation of the population distribution.

b. Identify the mean and standard deviation of the data distribution. What does the standard deviation describe?

c. Identify the mean and the standard deviation of the sampling distribution of the sample mean for samples of seven daily sales. What does this standard deviation describe?