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26 October, 04:31

a randon sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Construct a 99% confidence interval for the population standard deviation

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  1. 26 October, 06:19
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    For 99% of confidence interval is 67.5±1.3524

    Step-by-step explanation:

    Given:

    Mean height = 67.5 inches

    Standard deviation:2.1 inches

    Z at 99%.

    No of samples 16.

    To find:

    confidence interval

    Solution:

    We have formula for confidence interval,

    =mean ±Z*{standard deviation/sqrt (no. of observation) }

    Now

    Z=99%

    has standard value as,

    Z=2.576

    Confidence interval = mean±Z{standard deviation/sqrt (No. of samples) }

    =67.5±2.57{ (2.1/sqrt (16) }

    =67.5±2.576 (2.1/4)

    =67.5±1.3524
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