Question

a food safety guideline is that the mercury in fish should be below 1 part per...

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 99​% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna​ sushi?

0.59, 0.79, 0.09,  0.90, 1.32, 0.57, 0.84

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

____ ppm < μ < _____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 not 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. 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.

D. 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.

  

Homework Answers

Answer #1

Confidence interval for Population mean is given as below:

Confidence interval = Xbar ± t*S/sqrt(n)

From given data, we have

Xbar = 0.75

S = 0.353189548

n = 8

df = n – 1 = 7

Confidence level = 99%

Critical t value = 3.4995

(by using t-table)

Confidence interval = Xbar ± t*S/sqrt(n)

Confidence interval = 0.75 ± 3.4995*0.353189548/sqrt(8)

Confidence interval = 0.75 ± 0.4370

Lower limit = 0.75 - 0.4370 = 0.313

Upper limit = 0.75 + 0.4370 = 1.187

Confidence interval = (0.313, 1.187)

0.313 ppm < µ < 1.187 ppm

A. ​Yes, because it is possible that the mean is not 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.

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