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

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

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

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

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