Listed below are the amounts of mercury in parts per million

Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at randomly selected grocery stores in New York City.

0.56     0.75     0.10     0.95     1.25     0.54     0.88

Assume that the amount of mercury found in the tuna sushi population is normally distributed. Construct a 95% confidence interval estimate of the population mean amount of mercury in the population. Find this interval by following the steps below:

(2 pts) What is the population of interest for this situation?

(2 pts) List And Verify the appropriate conditions needed to calculate the intended confidence interval.

(2 pts) Calculate the confidence interval by giving the appropriate formula and then plugging numbers into that formula. (Give final interval to 3 decimal places) (You may use a calculator, Excel, or Minitab to find the values needed for the formula)

(2 pts) Interpret the interval found.

(2 pts) Perform part (c) using Minitab. Give the output (what the computer prints on the screen) from Minitab here. Verify that the interval given here matched your interval in part (c).

(1 pt) The FDA claims the average amount of mercury found in tuna sushi is less than 1ppm. Based on your interval does this claim seem plausible? Could this claim be false? Explain.

Solution