If question B is a t test , find the degree of freedom

v A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by Installing the two brands on the same 10 cars, chosen at random. In particular, each car has one tire of each brand on Its front wheels, with hall of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (In Inches] is recorded, as shown In the table below. Car 10 Brand 1 0.48 054 061 061 0.64 10 42 0.34 0.61 0.37 0.45 Brand 2 0.37 055 0.34 057 0 55 041 046 044 0.40 0.23 Difference Grand 1 - Brand 2) 01 -0.01 0.27 0.04 0 09 0.01 0 12 0.17 -0.03 0.22 Send doin No calculator Based on these data, can the consumer group conclude, at the 0.01 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a mypothesis test regarding ply (which is u with a letter "a subscript], the population mean difference in tread wear for the two brands of tires. Assume that this population of differences [Brand 1 minus Brand 2) is normally distributed Perform a two-talled test. Then complete the parts below. Carry your Intermediate computations to three or more dedmal places and round your answers as spedfied. (IF necessary, consult a list of formulas.) (a] State the null hypothesis Ho and the alternative hypothesis H- H :[ H D (b) Determine the type of test statistic to use Type of test statistic: [Choose one) 0=0 (c) Find the value of the test statistic. (Round to three or more dedmal places.) X 5 (d) Find the two gritical values at the 0 01 level of significance. (Round to three or more decimal places.) [and (e) At the 0.01 level, can the consumer group conclude that the mean tread wears of the brands differ? OYes O No