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...

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 4.5 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.4 feet. At α=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).

Extracted text: 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 4.5 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.4 feet. At = 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. O B. The mean braking distance is the same for the two makes of automobiles. OC. The mean braking distance is different for the two makes of automobiles. O D. The mean braking distance is greater for Make A automobiles than Make B automobiles. What are Ho and H? O A. Ho: H1 2H2 Ha: H1

H2 OF. Ho: H1

H2 Ha: H1 # H2 Ha: 41 SH2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are - (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? O A. z< -="" 2.81,="" z=""> - 2.81 O B. z< -="" 2.58,="" z=""> 2.58 OC. z< -="" 1.96,="" z=""> 1.96 OD. z< -="" 2.81="" o="" e.="">< -="" 1.645,="" z=""> 1.645 OF. z< -="" 2.575,="" z=""> 2.575 O G. z>2.575 O H. z< -="" 2.58="" (c)="" find="" the="" standardized="" test="" statistic="" z="" for="" µ1="" -="" h2.="" (round="" to="" three="" decimal="" places="" as="" needed.)="" (d)="" decide="" whether="" to="" reject="" or="" fail="" to="" reject="" the="" null="" hypothesis.="" choose="" the="" correct="" answer="" below.="" o="" a.="" reject="" ho:="" the="" standardized="" test="" statistic="" falls="" in="" the="" rejection="" region.="" o="" b.="" fail="" to="" reject="" ho.="" the="" standardized="" test="" statistic="" falls="" in="" the="" rejection="" region.="" oc.="" fail="" to="" reject="" ho.="" the="" standardized="" test="" statistic="" does="" not="" fall="" in="" the="" rejection="" region.="" o="" d.="" reject="" ho:="" the="" standardized="" test="" statistic="" does="" not="" fall="" in="" the="" rejection="" region.="" (e)="" interpret="" the="" decision="" in="" the="" context="" of="" the="" original="" claim.="" at="" the="" %="" significance="" level,="" there="" is="" v="" evidence="" to="" v="" the="" claim="" that="" the="" mean="" braking="" distance="" for="" make="" a="" automobiles="" is="" v="" the="" one="" for="" make="" b="">