Question

21. FDA food contamination guidelines allow for frozen broccoli to have up to 60 aphids, thrips or mites per 100 grams, on average. It is assumed that a batch of frozen broccoli is okay to ship out unless there is statistically significant evidence that it is overly infested.
(a) Write the appropriate null and alternative hypotheses for this approach to the situation.

(b) Which of the following is the consequence of making a type I error? • A batch of frozen broccoli meets the guidelines, and is shipped out.

• A batch of frozen broccoli fails to meet the guidelines, and is discarded.

• A batch of frozen broccoli meets the guidelines, but is discarded.

• A batch of frozen broccoli fails to meet the guidelines, but is shipped out.

(c) Which of the following is the consequence of making a type II error? • A batch of frozen broccoli meets the guidelines, and is shipped out.

• A batch of frozen broccoli fails to meet the guidelines, and is discarded.

• A batch of frozen broccoli meets the guidelines, but is discarded.

• A batch of frozen broccoli fails to meet the guidelines, but is shipped out.

(d) Which level of significance (α) minimizes the probability that a batch of frozen broccoli gets shipped out when it fails to meet the guidelines?
0.1 0.05 0.01

Answer 1