Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places.
-A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 milligrams claimed by the manufacturer. The mean acetaminophen content for a random sample
Of 48 tablets is 603.3 milligrams. Test whether the claim that the mean amount of acetaminophen is different from 600 milligrams is supported or not supported. Assume that the population standard deviation is 4.9 milligrams.
A)not supported
B)supported

Question

Quizplus · Accepted Answer

The test statistic is calculated as (603.3 - 600) / (4.9 / sqrt(48)) = 4.48. The critical z-value for a two-tailed test at the 0.05 significance level is approximately ±1.96. Since 4.48 is greater than 1.96, we reject the null hypothesis, supporting the claim that the mean is different from 600 milligrams.

Conduct a Full Hypothesis Test and Determine If the Given