91Ó°ÊÓ

Given in the question that, An understanding of cockroach biology may lead to an effective control strategy for these annoying insects. Researchers studying the absorption of sugar by insects feed a random sample of cockroaches a diet containing measured amounts of sugar. After$10$hours, the cockroaches are killed and the concentration of the sugar in various body parts is determined by a chemical analysis. The paper that reports the research states that a $95\%$confidence interval for the mean amount (in milligrams) of sugar in the hindguts of cockroaches is$4.2Â\pm 2.3.$

We need to find evidence for the mean amount of sugar in the hindguts under these conditions is not equal to$7m.$

Given:

Confidence level $=95\%$

Confidence interval $=4.2Â\pm 2.3$

The confidence interval can be computed as:

$CI=4.2Â\pm 2.3$

$=(1.9,6.5)$

Here, $7$does lie in the computed confidence interval.