math check and help

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A certain population has a mean of 472 and a standard deviation of 40. Many samples of size 46 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.)
472 .

(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.)
6.78

  • math check and help -

    a) correct

    b) SEm = SD/√n = 40/√46 = 40/6.7823 = 5.8977 = 5.90

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