Question

To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.2 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state Ho and Ha What is the claim? O A. The mean braking distance is less for Make A automobiles than Make B automobiles B. The mean braking distance is greater for Make A automobiles than Make B automobiles. OC. The mean braking distance is the same for the two makes of automobiles. D. The mean braking distance is different for the two makes of automobiles. Click to select your answer(s).

Answer 1

(بم) -!عمه option (0) is correct. The null and alternative hypothesis. Ho: Me=42 Hals & M2 ofation (F) is correct. (b) The critical values are at a=0.20 = (- 1.645, 1.645 ) The rejection region is IZ-1.645, Z Y 1.645 option (H) is correct. (C) La 42- 43 XL-X2 Glo? mi = -0.94976 (4.6)2. (4.213 35 35 na Z E 0.950 (d) Since, z- test > -1.645. So, we fail to reject the null hypothesis, option (B) is correct (e) 10 10 onsufficient differ for Support 3