Determine the probability the sample mean is equal to value

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Mean amount bought by a 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 sample of 50 customers, reply the following questions.

a. Determine the probability the sample mean is at least $25.00?
b. Determine the probability the sample mean is greater than $22.50 but less than $25.00?
c. Within what limits will 90 percent of the sample means occur?

Reference no: EM13110076

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