(c) Find the standardized test statistic z for μ₁-₂. 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. O A. Reject Ho. The standardized test statistic falls in the rejection region. OB. 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. O 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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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 40 feet. Assume the population standard deviation is
4.5 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.4 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).
© C. Ho. HH2
OA. Ho: H₁ H₂
OB. Ho: H₁ H₂
H₂H₁ H₂
H₂: H₁ H₂
H₂H₁ H₂
OE. Ho: H₁
H₂
OF Hồ-HH2
H₂H₁ H₂
OD. Hồ. Hi#H2
H₂H₁ H₂
H₂: 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 B. z< 1.64
O A. z< -2.81, z> -2.81
O D. z< -2.58, z> 2.58
OC. Z-2.81
OF. z>2.58
O E. z< -1.64, z> 1.64
OH. z< -2.58
O G. 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 40 feet. Assume the population standard deviation is 4.5 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.4 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). © C. Ho. HH2 OA. Ho: H₁ H₂ OB. Ho: H₁ H₂ H₂H₁ H₂ H₂: H₁ H₂ H₂H₁ H₂ OE. Ho: H₁ H₂ OF Hồ-HH2 H₂H₁ H₂ OD. Hồ. Hi#H2 H₂H₁ H₂ H₂: 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 B. z< 1.64 O A. z< -2.81, z> -2.81 O D. z< -2.58, z> 2.58 OC. Z-2.81 OF. z>2.58 O E. z< -1.64, z> 1.64 OH. z< -2.58 O G. z< -1.96, z> 1.96
(c) Find the standardized test statistic z for μ₁-₂.
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.
O A. Reject Ho. The standardized test statistic falls in the rejection region.
OB. 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.
O 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.
Transcribed Image Text:(c) Find the standardized test statistic z for μ₁-₂. 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. O A. Reject Ho. The standardized test statistic falls in the rejection region. OB. 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. O 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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