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 95 ​% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna​ sushi? 0.54    0.82    0.10    0.98    1.34    0.49    0.85 What is the confidence interval estimate of the population mean?

Answer 1

Following table shows the calculations for mean and SD of data set:

	X	(X-mean)^2
	0.54	0.0361
	0.82	0.0081
	0.1	0.3969
	0.98	0.0625
	1.34	0.3721
	0.49	0.0576
	0.85	0.0144
Total	5.12	0.9477

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The required confidence interval is:

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Since confidence interval contains 1 so we cannot conclude that  the mean amount of mercury in the population is below 1 ppm.