The mean amount purchased by each customer at Churchill’s Grocery Store is $20 with a standard deviation of $9. 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 $22? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Sample mean:
b. What is the likelihood the sample mean is greater than $17 but less than $22? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Sample mean:
c. Within what limits will 98% of the sample means occur? (Round the final answers to 2 decimal places.)
Sample mean : ___ and ____
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