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6 February, 11:39

A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. Which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean?

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  1. 6 February, 13:03
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    Given:

    n = 60, the sample size

    μ = 28, the mean

    σ = 5, the standard dviation

    A 95% confidence level, the confidence (interval is

    (μ - 1.96σ/√n, μ + 1.96σ/√n)

    = (28 - (1.96*5) / √60, 28 + (1.96*5) / √60)

    = (26.735, 29.265)

    Answer:

    The confidence interval is (26.735, 29.265)

    or between 26.735 and 29.265.
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