For each of the following assertions, state whether it is a legitimate statistical hypothesis and why?a. H:\sigma>100b. H:\widetilde{x}=45c. H:s\leq0.20d. H:\sigma1/\sigma2<1e. H:\overline{X}-\overline{Y}=5f. H: \lambda\leq0.01, where l is the parameter of an exponential distribution used to model component lifetime

3.17 scores on stats final. below are final exam scores of 20 introductory statistics students. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 57, 66, 69, 71, 72, 73, 74, 77, 78, 78, 79, 79, 81, 81, 82, 83, 83, 88, 89, 94 (a) the mean score is 77.7 points. with a standard deviation of 8.44 points. use this information to determine if the scores approximately follow the 68-95-99.7% rule. (b) do these data appear to follow a normal distribution? explain your reasoning using the graphs provided below.