Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.Compute the test value. Round the sample statistics to two decimal places and the final answer to at least three decimal places.(b) Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.c) Compute the test value. Round the sample statistics and final answer to at least three decimal places.Weights of Vacuum Cleaners Upright vacuum cleaners have either a hard body type or a soft body in pounds of a sample of each type. At a=0.05, can it be concluded that the means of the weights a variables are normally distributed and the variances are unequal. Hard body types Soft body types 21 17 17 20 24 17 18 24 13 15 16 18 13 11 13 12 23 18 17 17 16 17 15 Send data to ExcelObstacle Course Times An obstacle course was set up on a campus, and 8 volunteers were given a chance to complete it while they were being timed. They then sampled a new energy drink and were given the opportunity to run the course again. The "before" and "after" times in seconds are shown below. Is there sufcient evidence at ot=0.10 to conclude that the students did better the second time? Assume the variables are normally distributed. Student 1 2 3 4 5 6 7 8 Before 6'? 7'2 80 '? 5 70 '? 8 82 69 After 63 70 7'6 63 65 75 78 65 Cholesterol Levels A medical researcher wishes to see if he can lower the cholesterol levels through cliet in 6 people by showing a lm about the eFfects of high cholesterol levels. The data are shown. At o=0.10, did the cholesterol level decrease on average? Use the Pvalue method and tables. 244 215 213 221 206 218 216 201 194 192 203 214 (b) Compute the test value. Round intermediate calculations and final answers to at least three decimal places