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11 July, 03:19

In a study of 225 adults, the mean heart rate was 72 beats per minute. Assume the population of heart rates is known to be approximately normal with a standard deviation of 10 beats per minute. What is the 90% confidence interval for the mean beats per minute?

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  1. 11 July, 03:44
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    90% CI z * = 1.64

    x bar = 72

    n = 225

    s = 10

    x + - z * (s/sqrt n)

    72 + - 1.64 (10/sqrt225)

    72 + - 1.64 (10/15)

    72 + - 1.64 (2/3)

    72 + 1.64 (2/3) = 73.09

    72 - 1.64 (2/3) = 70.91
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