# Probabilities regarding the sample mean

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.

a. What is the likelihood the sample mean is at least $25.00?

b. What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

c. Within what limits will 90 percent of the sample means occur?

https://brainmass.com/statistics/probability/probabilities-regarding-the-sample-mean-229996

#### Solution Summary

In this solution we find probabilities regarding the sample mean when sampling from a normal probability distribution.

$2.19