2. ABC Inc. carries inventory of 2000 items. The population standard deviation for the cost of the inventory is σ = 144. A consultant recommends that the company takes a sample of 160 items from its inventory to estimate the average cost per item. Please answer the following questions:
a. What is the standard error of the sampling distribution of ?̅ ?
b. What is the probability that the sample mean will be within ±25 of the population mean µ?
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