To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes theamount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed.The FDA tests on this cigarette gave a mean nicotine content of 28.4 milligrams and standard deviation of 2.6milligrams for a sample of n = 9 cigarettes. The FDA claims that the mean nicotine content exceeds 31.0milligrams for this brand of cigarette, and their stated reliability is 90%. Do you agree?
A) No, since the value 31.0 does not fall in the 90% confidence interval.
B) Yes, since the value 31.0 does fall in the 90% confidence interval.
C) Yes, since the value 31.0 does not fall in the 90% confidence interval.
D) No, since the value 31.0 does fall in the 90% confidence interval.

Question

Quizplus · Accepted Answer

The 90% confidence interval for the mean nicotine content can be calculated using the sample mean, standard deviation, and sample size. Given the sample mean (28.4 mg), standard deviation (2.6 mg), and sample size (n = 9), the calculated confidence interval does not include the value 31.0 mg. This suggests that the FDA's claim that the mean exceeds 31.0 mg is not supported by the sample data.

To Help Consumers Assess the Risks They Are Taking, the Food