Provide an Appropriate Response $25.2$ Milligrams and Standard Deviation Of $2.7$ Milligrams for a Sample Of

Multiple Choice

Provide an appropriate response.
-To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount 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 $25.2$ milligrams and standard deviation of $2.7$ milligrams for a sample of $\mathrm { n } = 9$ cigarettes. The FDA claims that the mean nicotine content exceeds $28.3$ milligrams for this brand of cigarette, and their stated reliability is $95 \%$ . Do you agree?

A) No, since the value $28.3$ does not fall in the $95 \%$ confidence interval.
B) Yes, since the value $28.3$ does fall in the $95 \%$ confidence interval.
C) Yes, since the value $28.3$ does not fall in the $95 \%$ confidence interval.
D) No, since the value $28.3$ does fall in the $95 \%$ confidence interval.