A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains Merck pills with 40 mg of lisinopril that is used to treat high blood pressure. Identify which one of the following errors is most serious, explain why it is most serious, and characterize the error as being a type I error or a type II error.

i. For lisinopril, fail to reject

H0:

=40

mg when the mean is actually different from 40 mg.

ii. For lisinopril, reject

H0:

=40

mg when the mean is actually equal to 40 mg.

iii. For vitamin C, fail to reject

H0:

=500

mg when the mean is actually different from 500 mg.

iv. For vitamin C, reject

H0:

=500

mg when the mean is actually equal to 500 mg.

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Part 1

Error

is most serious, since this error is the most likely to result in a person

consuming a potentially dangerous quantity of a substance.

consuming a safe quantity of a substance.

This error would be a type

II

I

error.