Within what limits will 90 percent of sample means occur

Within what limits will 90 percent of sample means occur/Statistics

Determine the probability value using normal distribution.

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 sample mean is at least $25.00?

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

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

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