Question: Manufacturing and Product Development The Estes Pro Series II Ventris model rocket weighs approximately 16 ounces and can reach altitudes of over 2000 feet. Suppose the company would like the standard deviation in height to be approximately 50 feet. If the standard deviation is any larger, then more rockets are lost (because they soar too high and drift away) or customers become angry because more launches do not achieve the advertised height. A random sample of rockets was obtained, and the height (in feet) achieved on each launch was measured.
a. Is there any evidence to suggest the population variance in height is greater than the company's desired value? Assume normality and use a = 0.01.
b. Find bounds on the p value for this hypothesis test.