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4 February, 21:59

Determine the minimum sample size required when you want to be 98% confident that the sample mean is within two units of the population mean. Assume a population standard deviation of 7.55 in a normally distributed population.

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  1. 5 February, 01:21
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    Answer: n = 78

    Therefore, Determine the minimum sample size required when you want to be 98% confident that the sample mean is within two units of the population mean is 78

    n > / = 78

    Step-by-step explanation:

    Given;

    Standard deviation r = 7.55

    Margin of error E = 2.0

    Confidence interval of 98%

    Z at 98% = 2.33

    Margin of error E = Z (r/√n)

    Making n the subject of formula, we have

    n = (Z*r/E) ^2

    n = (2.33 * 7.55/2.0) ^2

    n = (8.79575) ^2

    n = 77.3652180625

    n > / = 78

    Therefore, Determine the minimum sample size required when you want to be 98% confident that the sample mean is within two units of the population mean is 78
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