Acar manufacturer claims that one of their models, let’s call it mendel a, on average has a significantly shorter stopping distance than a competition’s model, let’s call it model b, in the same class. to test their claim the distance (in feet) it took for 8 model a cars to get to complete stop from 60 miles per hour was recorder. the same was done for 9 model b cars. the result were as follows. model a: 98, 97, 99, 101, 95, 99, 100, 95model b: 94, 101, 100, 102, 100, 99, 97, 102, 96(a) [3] calculate the ratio of the maximum sample variance to the minimum sample variance. does it appear that the population variances are equal or unequal? explain.(b) at 5% level of significance is there sufficient evidence to indicate that the claim of the manufacturer of model a is true? use the critical value approach.(c) [2] what is the p-value for the test in () [1] is it necessary to assume that the populations are normally distributed to validate the test in (b)?