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 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?

Mercury (ppm)
0.57, 0.71, 0.11, 0.96, 1.30, 0.52, 0.85

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

___ppm<μ<___ppm

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

A.)No eause 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.

B.)​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.

C.)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.

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.

Answer 1

Sample Mean (M):	0.7171
Sample Size (n):	7
Standard Deviation (s):	0.3754
Confidence Level:	99%

M = 0.7171
Z = 2.58
sM = √(0.37542/7) = 0.14

μ = M ± Z(sM)
μ = 0.7171 ± 2.58*0.14
μ = 0.7171 ± 0.365479

You can be 99% confident that the population mean (μ) falls between 0.351621 and 1.082579.

0.351621 ppm<μ<ppm1.082579.

C.)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.