The average or median quantity of groceries that every client buys in Churchill Grocery Store is $23.50. The population has a positive slant and the standard deviation is not known. Answer the following questions for a sample of 50 clients.
a) If the standard deviation of the sample is $5.00, which is the probability that the average or median of the samples is at least $25.00?
b) Once again, suppose that the standard deviation of the average or median is $5.00. Which is the probability that the average or median of the sample is greater than $22.50 but less than $25.00?