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# Answer to Question #17247 in Statistics and Probability for Andre Stabile

Question #17247
The mean amount purchased by a typical customer at Churchill's Grocery Store is \$21.00 with a standard deviation of \$7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 42 customers, answer the following questions.

(a)

What is the likelihood the sample mean is at least \$22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability

(b)

What is the likelihood the sample mean is greater than \$20.00 but less than \$22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability

(c)

Within what limits will 99 percent of the sample means occur? (Round your answers to 2 decimal places.)

Sample mean

and

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