SOLUTION: 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 dif
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Question 1133946: 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 0.68 0.10 0.98 1.37 0.55 0.97
What is the confidence interval estimate of the population mean mu?
_ppm < mu < _ ppm
(Round to three decimal places as needed.)
Answer by Glaviolette(140) (Show Source): You can put this solution on YOUR website!
I calculated the sample mean and standard deviation on a graphing calculator. Because of the small sample size, a t-score should be used. The t-score for a 99% confidence level with degrees of freedom of 6 (one less than sample size) is 3.71. This is multiplied by the sample standard deviation which is divided by the sq rt of the sample size.
The interval is (0.19, 1.31). This means that there is a good chance that the population mean is above 1 (can be as high as 1.31). Therefore, there does appear to be evidence that the mercury level is too high.
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