Answer :
Final answer:
The mean of the sampling distribution of the sample means will be equal to the population mean, which is (A)38.
Explanation:
The question pertains to the concept of the sampling distribution of sample means. When you draw samples of a specific size from a population, the mean of the sampling distribution will be equal to the mean of the population. Therefore, if the population has a mean of 38 and a standard deviation of 8.6, the mean of the sampling distribution of the mean based on samples of 200 would also be 38. This is because the Central Limit Theorem states that the sampling distribution of the sample mean will be normally distributed with a mean [tex](\(ackslash mu ackslash_xbarackslash))[/tex] equal to the population mean[tex](ackslash \mu)[/tex]as the sample size becomes large.
