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 41 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.7 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? OA. The mean braking distance greater for Make A automobiles than Make B automobiles. OB. The mean braking distance s less for Make A automobiles than Make B automobiles. C. The mean braking distance is different for the two makes of automobiles. OD. The mean braking distance is the same for the two makes of automobiles. What are Ho and Ha? OA. Ho: H1 H2 Ha: H1 H2 D. Ho: H1 H2 Ha: H1 H2 OB. Ho: H1 H2 Ha: H1 H2 OE. 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.) OC. Ho: 41 242 Ha: H1

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I also need the standardized test statistic and whether it's required  to reject or fail to reject the hypothesis  and interpret the decision in the context of the original claim

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 41 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.7 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 greater for Make A automobiles than Make B automobiles.
B. The mean braking distance is less for Make A automobiles than Make B automobiles.
C. The mean braking distance is different for the two makes of automobiles.
D. The mean braking distance is the same for the two makes of automobiles.
What are Ho and Ha?
A. Ho: M₁ μ2
Ha: 1 = 2
Ho: μ1 = μ2
Ha: μ1 μ2
B. Ho: H₁ H2
Ha: H1 H2
E. Ho: ₁2
Ha: μ1 ≤μ2
(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.)
C. Ho: 1²2
Ha: 1 <H2
O F. Ho: M1 <H2
Ha: μ1²μ2
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 41 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.7 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 greater for Make A automobiles than Make B automobiles. B. The mean braking distance is less for Make A automobiles than Make B automobiles. C. The mean braking distance is different for the two makes of automobiles. D. The mean braking distance is the same for the two makes of automobiles. What are Ho and Ha? A. Ho: M₁ μ2 Ha: 1 = 2 Ho: μ1 = μ2 Ha: μ1 μ2 B. Ho: H₁ H2 Ha: H1 H2 E. Ho: ₁2 Ha: μ1 ≤μ2 (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.) C. Ho: 1²2 Ha: 1 <H2 O F. Ho: M1 <H2 Ha: μ1²μ2
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