Three firms carry inventories that differ in size. Firm A’s inventory contains 2000items, Firm B’s inventory...

Three firms carry inventories that differ in size. Firm A’s inventory contains 2000items, Firm B’s inventory contains 5000 items, and Firm c’s inventory contains 10,000items. The population standard deviation for the cost of the items in each firm’s inventory is 144. A statistical consultant recommends that each firm take a sample of 50 items from its inventory to provide statistically valid estimates of the average cost per item. Manager of a small firm state that because it has the smallest population, it should be able to make the estimate from a much smaller sample than that required by the larger firms. However, the consultant states that to obtain the same standard error and thus the same precision in the sample results, all firms should use the same sample size regardless of population size.

Using the finite population correction factor, compute the standard error for each of the three firms given a sample of size 50.
What is the probability that for each firm the sample mean will be within ±25 of the population mean?

(please offer expalination as you solve)

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orchestra answered 1 year ago

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