22. A company has determined that the mean number of days it takes to collect on

Question

22. A company has determined that the mean number of days it takes to collect on its accounts receivable is 36 with a standard deviation of 11 days. The company plans to select a random sample of n = 12 accounts and compute the sample mean. Which of the following statements holds true in this situation?

a. There is no way to determine what the mean of the sampling distribution is without knowing the specific shape of the population.

b. The sampling distribution will have the same distribution as the population, provided that the population is not normally distributed.

c. The sampling error will be larger than if they had sampled n = 64 accounts.

d. The sampling distribution may actually be approximately normally distributed depending on what the population distribution is.

Explanation / Answer

d. The sampling distribution may actually be approximately normally distributed depending on what the population distribution is.

that is because the sampling error decrease when n is more bigger

that means that it will be normal with n = 12

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