Question

A food safety guideline is that the mercury in fish should be below 1 part per milion (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?0.570.690.110.911.340.580.86= Does it appear that there is too much mercury in tuna sushi?

Answer 1

To answer the question, one must calculate the sample's mean and standard deviation, standard error, find the appropriate t-value for a 99% confidence level, and create the confidence interval to determine if there is too much mercury in tuna sushi relative to the guideline.

Step-by-step explanation:

First, to construct a 99% confidence interval estimate of the mean amount of mercury in the population of tuna sushi samples, you will need to calculate the mean (μ) and standard deviation (s) of the sample data provided. Then, use the t-distribution because the sample size is small and the population standard deviation is unknown. Calculate the standard error (SE) of the mean by dividing the standard deviation by the square root of the sample size. Next, find the t-value that corresponds to the 99% confidence level and the degrees of freedom (n-1). The confidence interval is then estimated as μ ± (t-value * SE). Upon calculating the interval, if it contains the 1 ppm threshold, it suggests that there is not enough evidence to say there is too much mercury overall. However, if values in the interval are above 1 ppm, this might indicate high mercury content.