Four different types of insecticides are used on strawberry plants. The number of strawberries on each randomly selected plant is given below. Find the critical value F-value to test the hypothesis that the type of insecticide makes no difference in the mean number of strawberries per plant. Use a = 0.01. Insecticide 1 Insecticide 2 Insecticide 3 Insecticide 4 WNWA WO A) 4.94 B) 4.18 C) 26.69 D) 4.43A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Test the hypothesis that there is no difference in the average age of each group. Use a = 0.01. Middle School Teachers High School Teachers College Teachers 23 38 45 28 41 45 27 36 36 52 47 61 25 42 39 37 31 35An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At a = 0.01, test the airline's claim. Round p to the nearest thousandth when calculating the test statistic.The results of a recent national survey reported that 70% of Americans recycle at least some of the time. As part of their final project in statistics class, Nayla and Roberto survey 5 random students on campus and ask them if they recycle at least some of the time. They then repeat this experiment 1000 times. The results of their research are shown below. X (number who recycle out of 5) 0 1 2 3 4 5 Frequency 2 25 140 305 357 171 Is there evidence to support the belief that the random variable X, the number of students out of 5 who recycle at least some of the time, is a binomial random variable with p =0.7 at the a = 0.05 level?A multinomial experiment with k = 4 cells and n = 300 produced the data shown in the following table. Cell 1 2 3 4 nj 65 69 86 80 Do these data provide sufficient evidence to contradict the null hypothesis that p1 = 0.20, P2 = 0.20, p3 = 0.30, and p4 = 0.30? Test using a = 0.05