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StatisticsQ&A LibraryA 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 0.76 0.11 0.92 1.27 0.53 0.82 What is the confidence interval estimate of the population mean μ?Question

Asked Feb 22, 2020

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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

0.76

0.11

0.92

1.27

0.53

0.82

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

Step 1

The provided data is:

0.59,0.76,0.11,0.92,1.27,0.53,0.82

Sample size (*n*) = 7

The formula to calculate the 99% confidence interval for population mean is:

Step 2

The sample mean and sample standard deviation can be calculated as:

Step 3

The degrees of freedom is : *df*= *n* - 1 = 7 - 1 = 6

The critical value for 99% confidence level at *df* = 6 can be found using the *t*-table. That is,

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