Testing a mosquito repellent. A study was conducted to evaluate the effectiveness of a new...

Testing a mosquito repellent. A study was conducted to evaluate the effectiveness of a new mosquito repellent designed by the U.S. Army to be applied as camouflage face paint. (Journal of the Mosquito Control Association, June 1995.) The repellent was applied to the forearms of five volunteers who then were exposed to 15 active mosquitos for a 10-hour period. The percentage of the forearm surface area protected from bites (called percent repellency) was calculated for each of the five volunteers. For one color of paint (loam), the following summary statistics were obtained:

 s = 15%

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

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