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 44 feet. Assume the population standard deviation is 4.3 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. 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> 2 OC. Ho: H1 SH2 Hai H1 > H2 OF. Ho: H1 = H2 O B. Họ: H1 1.96
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 44 feet. Assume the population standard deviation is 4.3 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. 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> 2 OC. Ho: H1 SH2 Hai H1 > H2 OF. Ho: H1 = H2 O B. Họ: H1 1.96
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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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 42 feet.
Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.3 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?
A. The mean braking distance is less for Make A automobiles than Make B automobiles.
B. The mean braking distance is the same for the two makes of automobiles.
C. The mean braking distance is different for the two makes of automobiles.
D. The mean braking distance is greater for Make A automobiles than Make B automobiles.
What are Ho and H,?
A. Ho: H1> H2
Ha: H1 SH2
O B. Ho: H1 < H2
Ha: H12 H2
O C. Ho: H1 SH2
Hai H1> H2
D. Ho: 41 # H2
Ha: H1 = H2
O E. Ho: H1 2H2
Ha: H1 <H2
O F. Ho: H1 = H2
Ha: H1 # H2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is/are the rejection region(s)?
O A. z< - 2.81
В. Z< -1.96, z> 1.96
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 42 feet.
Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.3 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.
...
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is/are the rejection region(s)?
O A. z< -2.81
B. z< - 1.96, z> 1.96
O C. z<1.64
D. z< - 2.58
O E. z< - 2.58, z> 2.58
O F. z< - 2.81, z> - 2.81
O G. z> 2.58
O H. z< - 1.64, z> 1.64
(c) Find the standardized test statistic z for
(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. 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.
O C. Reject Ho. The standardized test statistic does not fall in the rejection region.
D. Fail to reject Ho. The standardized test statistic falls 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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