Weights of Men People have died in boat and aircraft accidents because an obsolete estimate of the mean weight of men was used. In recent decades, the mean weight of men has increased considerably, so we need to update our estimate of that mean so that boats, aircraft, elevators, and other such devices do not become dangerously overloaded. Using the weights of men from Data Set 1 in Appendix B, we obtain these sample statistics for the simple random sample: n = 40 and lb. Research from several other sources suggests that the population of weights of men has a standard deviation given by σ = 26 lb.a. Find the best point estimate of the mean weight of the population of all men.b. Construct a 95% confidence interval estimate of the mean weight of all men.c. What do the results suggest about the mean weight of 166.3 lb that was used to determine the safe passenger capacity of water vessels in 1960 (as given in the National Transportation and Safety Board safety recommendation M-04-04)?
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