Question: 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 cockroaches a diet containing measured amounts of a particular 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% CI for the mean amount of the sugar in the hindguts of the cockroaches is 4.2±2.3 milligrams. Does this paper give evidence that the mean amount of sugar in the hindguts under these conditions is not equal to 7 mg? To answer this question, follow the following steps:

a. [2 marks] State Hp and Ha,.

b. [4 marks] Base the test on the confidence interval.

c. [4 marks] Would the hypothesis that µ=5 mg be rejected at the 5% level in favor of a two-sided alternative? Why or why not?