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 produced the following 99% confidence interval for the mean amount of nicotine in the new cigarette: (26.1, 30.7). The Centers for Disease Control (CDC) claims that the mean nicotine content exceeds 31 milligrams for this brand of cigarette. Is the CDC's claim supported by the confidence interval computed