Question

A bottle contains a label stating that it contains pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains pills with 325 mg of aspirin. When testing claims about the mean contents of the pills, which would have more serious implications: a. rejection of the vitamin C claim or rejection of the aspirin claim? b. Considering only a type I error and using the same sample size, is it wise to use the same significance level for hypothesis tests about the mean amount of vitamin C and the mean amount of aspirin?

Answer 1

Answer: The rejection of the claim about aspirin is more significant as compared to that of vitamin C.

It is because the significant level of aspirin is more dangerous as compared to that of vitamin C.

The dosage of aspirin in the bottle must be accurate as compared to that of vitamin C because it would not cause any harm to the body if exceeded the limits.

It would be wise to use smaller significant level for testing the claim about aspirin.