7 An automotive plant manufacures a car part with production specifications that call for a maximum variance in lengths of parts to be 0.0004. Suppose the sample variance of 30 parts turns out to be 52 = 0.0005. At a 5% level of significancel test whether the population variance specification is being violated. B in a research study, 16 automobiles traveling at the same speeds are tested for stopping distances upon the application of the brake. The tests are done both on wet and dry roads. On wet roads' the standard deviation of stopping distances is 32 feet. 0n dry roads, the standard deviation is 16 feet. a At 5% level of significance, does the sample data justify the conclusion that the variance in stopping distances on wet roads is greater than the variance on dry roads. What is the p-value? b What are the implications of your statistical conclusions in terms of driving safety recommendations