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12 April, 15:42

Chips Ahoy wants to perform a study to determine the number of chocolate chips in their cookies. To that end, they collected a sample of 40 cookies. The mean of this sample is 23.95 chocolate chips. From past studies, we know that the standard deviation is 2.55 chocolate chips. Construct a 99% confidence interval of the mean of chocolate chips in all such cookies.

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  1. 12 April, 17:16
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    The formula for the confidence interval is given by

    Sample mean + z*[σ/√n], and

    Sample mean - z*[σ/√n]

    We have:

    Sample mean = 23.95

    n = 40

    σ = 2.55

    z * for 99% confidence = 2.58

    Substitute these values into the formula, we have

    23.95 + (2.58) (2.55:√40) = 24.99

    23.95 - (2.58) (2.55:√40) = 22.91

    So the lower interval is 22.91 and the highest interval is 24.99
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