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 95​% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna​ sushi? 0.52  0.68  0.10  0.95  1.27  0.50  0.89

What is the confidence interval estimate of the population mean muμ​?

nothing ppmless than<muμless than<nothing ppm ​(Round to three decimal places as​ needed.)

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

A.​Yes, because it is possible that the mean is greater than 1 ppm.​ Also, at least one of the sample values exceeds 1​ ppm, so at least some of the fish have too much mercury.

B. ​No, because it is not possible that the mean is greater than 1 ppm.​ Also, at least one of the sample values is less than 1​ ppm, so at least some of the fish are safe.

C. ​No, because it is possible that the mean is not greater than 1 ppm.​ Also, at least one of the sample values is less than 1​ ppm, so at least some of the fish are safe.

Answer 1

Answer:

Sample mean = = 4.91/7 = 0.70

Sample standard deviation = S = [ (X2 - n2) / n-1 ] = 0.3621

df = n-1 = 6

t critical value at 0.05 level with df   = 2.447

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

0.70 - 2.447 * 0.3621 / sqrt(7) < < 0.70 + 2.447 * 0.3621 / sqrt(7)

0.365 < < 1.034

98% CI is (0.365 , 1.034 )

Yes, because it is possible that the mean is greater than 1 ppm .Also at least one of the sample values exceeds 1 ppm , so at least some of the fish have too much mercury

there is too much mercury in tuna​ sushi.

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