the Food and Drug Administration must test levels of heavy metal concentrations in canned seafood products (e.g., kipper snacks) to ensure the safety of the foods for human consumption. If the concentration exceeds 55 parts per billion, the FDA will pull the products from grocery store shelves.

a. State the variable(s) of interest in the problem and whether they are quantitative or categorical.

b. Write the hypotheses in plain English.

c. Describe the parameter of interest using the correct notation.

d. Write the hypotheses using the parameter from (c).

e. An FDA agent took a sample of six cans of kipper snacks and measured the following heavy metal concentrations: 52, 59, 58, 43, 75, 52. Put this data into StatKey to calculate the sample statistic, and write it using the correct notation.

f. Generate a randomization distribution with 5000 samples and calculate the p-value for the sample.

g. At a significance level of = 0.10, state the decision the FDA agent should make.

h. Describe what a type I and type II error would be in the context of the problem. Which one do you think would be a worse outcome, and why?