A certain population has a mean of 495 and a standard deviation of 32. Many samp

Question

A certain population has a mean of 495 and a standard deviation of 32. Many samples of size 49 are randomly selected and the means calculated. (a) What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.) (b) What value would you expect to find for the standard deviation of all these sample means? (Give your answer correct to two decimal places.) (c) What shape would you expect the distribution of all these sample means to have? skewed right approximately normal     skewed left uniform You may need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

A) mean of sample means = population mean = 495

B) Standard deviation of sample means = population standard deviation / sqrt(n) = 32 / sqrt(49) = 4.57

C) approximately normal

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