A study was conducted to evaluate the effectiveness of a new mosquito repellent designed by the U.S. Army to be apphed a? camouflage face paint (Journal of [he Mosquzto Control Awoc~nt~on, June 1995). The repellent was applied to the forearms of five volunteers and then the arms were exposed to fifteen active mosqultoes tor a 10-hour period. Based on the number and location of the mosquito bites, the percentage of the 1 forearm wrface area protected from bites (called per cent repellency) was calculated for each of the five vol unteers. For one color of paint (loam), the follow~np summary statistics were obtained:

a. The new repellent is considered effective if it provides a percent repellency of at least 95. Conduct a test to determine whether the mean repellency percentage of the new mosquito repellent is less than 95.Test using a = .10

b. What assumptions are required for the hypothesis test in part a to be valid?