Engineers at a large automobile manufacturing company are trying to decide whether to purchase brand A or brand B tires for the company's new models. To help them arrive at a decision, an experiment is conducted using 12 of each brand The tires are run until they wear out, with the accompanying results Test the hypothesis that there is no difference in the average wear of the two brands of tires. Assume the populations to be approximately normally distributed with equal variances Use a P-value Click here to view the experiment results. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let Brand A be population 1 and Brand B be population 2 State the null and alternative hypotheses HO H1-H2 = H1 P1- H2 # 0 Determine the test statistic (Round to two decimal places as needed )A study was conducted to determine if the performance of a certain type of surgery on young horses had any effect on certain kinds of blood cell types in the animal. Fluid samples were taken from each of six foals before and after surgery The samples were analyzed for the number of postoperative white blood cell (WBC) leukocytes. A preoperative measure of WBC leukocytes was also measured, with the accompanying results. Use a paired sample t-test to determine if there is a significant change in WBC leukocytes with the surgery Click here to view the leukocytesata. Click here to view page 1 of the table of critical values of the t-distribution Click here to view page 2 of the table of critical values of the t-distribution. Leukocytesata Let sample 1 be the presurgery data, let sample 2 be the postsurgery data, and let up = 1 -H2 State the null and alternative hypotheses Foal Presurgery* Postsurgery* HO HD = 0 1 10.79 10 57 Hy HD # 0 N 12. 92 16 59 9 57 17 18 Determine the test statistic 8.79 14 02 OUIAW 11.98 10 58 6.07 8 61 (Round to two decimal places as needed ) "All values x 10-3