lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence in

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lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval

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Dulcie 1 year 2021-09-04T11:21:55+00:00 1 Answers 4 views 0

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    2021-09-04T11:22:56+00:00

    Answer:

    [tex]99\% CI=4.1602 \pm 0.0009[/tex]

    Step-by-step explanation:

    From the question we are told that:

    Sample size [tex]n=8[/tex]

    Mean [tex]\=x=4.1602[/tex]

    Standard deviation [tex]\sigma=0.001gram[/tex]

    Generally 99\% confidence from table  is mathematically given by

     [tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]

     [tex]P(-z<x<z)=0.99[/tex]

     [tex]Z_{\alpha/2}=2.576[/tex]

    Generally the equation for 99\% confidence level (CI)  is mathematically given by

     [tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]

     [tex]99\% CI=4.1602 \pm 0.0009[/tex]

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