Acetaminophen is an active ingredient found in more than 600 over-the-counter an
ID: 3437082 • Letter: A
Question
Acetaminophen is an active ingredient found in more than 600 over-the-counter and prescription medicines, such as pain relievers, cough suppressants, and cold medications. It is safe and effective when used correctly, but taking too much can lead to liver damage.†
A researcher believes the amount of acetaminophen in a particular brand of cold tablets contains a mean amount of acetaminophen per tablet different from the 600 mg claimed by the manufacturer. A random sample of 36 tablets had a mean acetaminophen content of 597.2 mg with a standard deviation of 3.4 mg.
(a) Is the assumption of normality reasonable?
(b) Construct a 99% confidence interval for the estimate of the mean acetaminophen content. (Give your answers correct to two decimal places.)
___________to________ mg
(c) What does the confidence interval found in part (b) suggest about the mean acetaminophen content of one pill?
-The mean amount of acetaminophen in one pill may be 600 mg
.-The mean amount of acetaminophen in one pill is 600 mg exactly.
-The mean amount of acetaminophen in one pill is more than 600 mg.
-The mean amount of acetaminophen in one pill is less than 600 mg.
Explanation / Answer
A. Yes, as n = 36 > 30, and the standard deviation is much less than the mean.
B. Using technology, using z distribution,
595.74 to 598.66 [using z]
or, using t,
595.66 to 598.74 [using t]
*****************
C.
Option D [answer]: The mean amount of acetaminophen in one pill is less than 600 mg. [D]