Question: Testing the effectiveness of a mosquito repellent. A study was conducted to evaluate the effectiveness of a mosquito repellent designed by the US. 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, and then the arms were exposed to 15 active mosquitoes 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:

1. 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 \(\alpha=.10\)
2. What assumptions are required for the hypothesis test in part a to be valid?

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