A certain population has a mean of 494 and a standard deviation of 20. Many samples of size 48 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
Added by Jacob B.
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(b) The standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size. So, the standard deviation of all these sample means would be: SD = 20 / sqrt(48) ≈ 2.89 Show more…
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