Final answer:
To construct a 98% confidence interval estimate of the mean amount of mercury in the population, calculate the sample mean, standard deviation, and standard error of the sample. Determine the critical value for a 98% confidence interval and calculate the margin of error. With these values, calculate the confidence interval estimate. Compare the lower bound of the confidence interval to the food safety guideline to determine if there is too much mercury in tuna sushi.
Step-by-step explanation:
To construct a 98% confidence interval estimate of the mean amount of mercury in the population, we can use the given sample data of mercury amounts in tuna sushi. The sample data provided are 0.57, 0.82, 0.10, 0.87, 1.28, 0.57, and 0.84. We will use these data to calculate the mean and standard error of the sample. Using these values, we can then calculate the confidence interval estimate.
Step 1: Calculate the sample mean
Step 2: Calculate the sample standard deviation
Step 3: Calculate the standard error of the sample mean
Step 4: Determine the critical value for a 98% confidence interval
Step 5: Calculate the margin of error
Step 6: Calculate the confidence interval estimate
The resulting confidence interval estimate will provide a range within which we can be 98% confident that the true mean amount of mercury in the population lies. To determine if there is too much mercury in tuna sushi, we would compare this confidence interval estimate to the food safety guideline of below 1 part per million (ppm). If the lower bound of the confidence interval is below 1 ppm, then it suggests that there is too much mercury in tuna sushi