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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 45 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 48 feet. Assume the population standard deviation is 4.5 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.

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 45 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 48 feet. Assume the population standard deviation is 4.5 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Below is the complete question to the last question. please help me answer all of the questions 

At the ___% significance​ level, there is sufficient/insufficient evidence to support/reject the claim that the mean braking distance for Make A automobiles is different from/ greater than/ less than/ equal to the one for Make B automobiles.

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 45 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 48 feet. Assume the population standard deviation is 4.5 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. (c) Find the standardized test statistic z for µj - µ2. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Fail to reject Ho. The standardized test statistic falls in the rejection region. B. Fail to reject Ho. The standardized test statistic does not fall in the rejection region. C. Reject Ho. The standardized test statistic falls 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 evidence to the claim that the mean braking distance for Make A automobiles is the one for Make B automobiles.
Transcribed Image 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 45 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 48 feet. Assume the population standard deviation is 4.5 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. (c) Find the standardized test statistic z for µj - µ2. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Fail to reject Ho. The standardized test statistic falls in the rejection region. B. Fail to reject Ho. The standardized test statistic does not fall in the rejection region. C. Reject Ho. The standardized test statistic falls 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 evidence to the claim that the mean braking distance for Make A automobiles is the one for Make B automobiles.
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