1) A study was conducted to evaluate the effectiveness of a new mosquito repellent by the U.S. Army to be applied as camouflage face paint. The repellent was applied to the forearms of 5 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 paint, the following summary statistics were obtained X(bar) = 83% S=13% Find the statistic of a small-sample test of a population mean. 2) A business investigation of the performance and timing of corporate acquisition discovered that in a random sample of 2997 firms, 897 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acusitaions during the year 2000 is less than 32% use a=0.01 to make your decision. A) what is the rejection region? Z<_____? B)Calculate the value of the z-statistic for this test Z= ?