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31 August, 03:33

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 199 milligrams with s = 16.5 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

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  1. 31 August, 04:01
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    The 95% C. I will be given as follows:

    mean=199

    standard deviation=16.5

    n=12

    thus:

    value of z corresponding to 95% is 1.96, thus the 95% C. I will be found as follows:

    μ+/-z (σ/√n)

    thus plugging in the values we get:

    199+/-1.96 (16.5/√12)

    =199+/-9.3358

    Answer: 199-9.3358≤x≤199+9.3358
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