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I think the answer to this question is False but I would like to confirm. Thank you for your help.

True or False: Suppose the population mean is 50 and the population variance is 100 for a population. In a sample where n = 100 is randomly taken, 90% of all possible sample means will fall between 49 and 51.

  • Statistics - ,

    Let's see:

    CI90 = mean + or - 1.645 (sd/√n)

    With the data given:

    CI90 = 50 + or - 1.645 (10/√100)

    Note: standard deviation is the square root of the variance.

    Do the calculation for the confidence interval and see if your answer is correct.

    I hope this will help.

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