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1 December, 21:04

Construct a 98% confidence interval for the population mean, μ. Assume the population has a normal distribution. A study of 14 car owners showed that their average repair bill was $192 with a standard deviation Round to the nearest cent.

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  1. 1 December, 21:10
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    (196.97,187.03)

    Explanation:

    Formula for Confidence interval is : avg repair bill (a) ± (Z*SD) : √ (sample size)

    average repair bill (a) = $192

    Z at 98% confidence level = 2.326

    Sample Size = 14

    Standard Deviation (SD) = $8

    Confidence Interval = 192 ± 2.326*8:√ (14) = { (192 + 4.97), (192 - 4.97) } = {196.97,187.03}
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