A certain population has a mean of 544 and a standard deviation of 22. Many samples of size 60 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
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(b) The standard deviation of the sample means, also known as the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size. So, in this case, the standard deviation of the sample means is 22 / Show more…
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