The following measurements (in picocuries per liter) were recorded by a set of carbon monoxide detectors installed in a manufacturing facili

Question

The following measurements (in picocuries per liter) were recorded by a set of carbon monoxide detectors installed in a manufacturing facility: 346.6,343.2,305.5,354.1 Using these measurements, construct a 99% confidence interval for the mean level of carbon monoxide present in the facility. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

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Kinsley 1 week 2021-09-14T23:13:59+00:00 1 Answer 0

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    2021-09-14T23:15:47+00:00

    Answer:

    [273.917;400783]

    Step-by-step explanation:

    Hello!

    You have to estimate the mean level of carbon monoxide in the facility by making a 99% CI.

    The variable is

    X: carbon monoxide level measured by one detector.

    X≈N(μ;σ²)

    346.6, 343.2, 305.5, 354.1

    n= 4

    X[bar]= 337.35

    S= 21.72

    Since the variable is approximately normal and you don’t know the value of the population variance, you have to use the t-statistic:

    [X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{n} }]

    t_{n-1;1-\alpha /2}= t_{3;0.995}= 5.841

    [337.35 ± 5.841 * \frac{21.72}{\sqrt{4} }]

    [273.917;400783]

    Using a 99% confidence level you’d expect that the population means of carbon monoxide in the facility.

    I hope you have a SUPER day!

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45:7+7-4:2-5:5*4+35:2 =? ( )