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​?

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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​?
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Expert Answer

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:

Statistics homework question answer, step 1, image 1

Step 2

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

Statistics homework question answer, step 2, image 1

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,

Statistics homework question answer, step 3, image 1

...

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