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The mean amount purchased by each customer at Churchill's Grocery Store is $22 with a standard deviation of $7. The population is positively skewed. For

The mean amount purchased by each customer at Churchill's Grocery Store is $22 with a standard deviation of $7. The population is positively skewed. For a sample of 50 customers, answer the following questions:

a. What is the likelihood the sample mean is at least $23?

b. What is the likelihood the sample mean is greater than $20 but less than $23?

c. Within what limits will 95% of the sample means occur?

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