A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts of mercury​ (ppm

Question

A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts of mercury​ (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 90​% confidence interval estimate of the mean amount of mercury in the population.

0.60 0.74 0.09 0.89 1.31 0.51 0.94

What is the confidence interval estimate of the population mean?

______ppm < u < ______ppm

(Round to three decimal places as needed)

Does it appear that there is too much mercury in tuna​ sushi?

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Reagan 1 week 2021-10-10T21:00:59+00:00 1 Answer 0

Answers ( )

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    2021-10-10T21:02:48+00:00

    Answer:

    Confidence Interval: (0.44,1.00)

    Step-by-step explanation:

    We are given the following data set:

    0.60, 0.74, 0.09, 0.89, 1.31, 0.51, 0.94

    Formula:

    \text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

    where x_i are data points, \bar{x} is the mean and n is the number of observations.  

    Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

    Mean =\displaystyle\frac{:5.08}{7} = 0.725

    Sum of squares of differences = 0.8809

    S.D = \sqrt{\frac{0.8809}{6}} = 0.383

    90% Confidence interval:  

    \bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

    Putting the values, we get,  

    t_{critical}\text{ at degree of freedom 6 and}~\alpha_{0.10} = \pm 1.943  

    0.725 \pm 1.943(\frac{0.383}{\sqrt{7}} ) =0.725 \pm 0.2812 = (0.44,1.00)

    No, it does not appear that there is too much mercury in tuna​ sushi.

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