A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg claimed by the manufacturer. Test this claim at the 0.02 level of significance. The mean acetaminophen content for a random sample of n = 41 tablets is 603.3 mg.
Assume that the population standard deviation is 4.9 mg.
A) Since the test statistic is greater than the critical z, there is sufficient evidence to accept the null hypothesis and to support the claim that the mean content of acetaminophen is 600 mg.
B) Since the test statistic is greater than the critical z, there is sufficient evidence to reject the null hypothesis and to support the claim that the mean content of acetaminophen is not 600 mg.
C) Since the test statistic is less than the critical z, there is sufficient evidence to reject the null hypothesis and to support the claim that the mean content of acetaminophen is not 600 mg.
D) Since the test statistic is greater than the critical z, there is insufficient evidence to reject the null hypothesis and to support the claim that the mean content of acetaminophen is not 600 mg.

Question

Quizplus · Accepted Answer

The test statistic is calculated as (603.3 - 600) / (4.9/√41) ≈ 4.27. The critical z-value for a two-tailed test at the 0.02 level of significance is approximately ±2.33. Since 4.27 is greater than 2.33, we reject the null hypothesis, supporting the claim that the mean content is not 600 mg.

A Researcher Claims That the Amounts of Acetaminophen in a Certain