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obiles? Assume the samples are random and independer dard normal distribution table. dard normal distribution table. ad Hg- s the same for the two makes of automobiles. s less for Make A automobiles than Make B automobiles. s different for the two makes of automobiles. s greater for Make A automobiles than Make B automobil

obiles? Assume the samples are random and independer dard normal distribution table. dard normal distribution table. ad Hg- s the same for the two makes of automobiles. s less for Make A automobiles than Make B automobiles. s different for the two makes of automobiles. s greater for Make A automobiles than Make B automobil

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 41 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 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. (a) Identify the claim and state H, and Ha. What is the claim? O A. The mean braking distance is the same for the two makes of 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 greater for Make A automobiles than Make B automobiles. What are Ho and H,? O A. Ho: H1 > H2 Hại H1 SH2 O B. Ho: H1 < H2 Ha: H12 H2 O C. Ho: H1 # H2 Hai H1 = H2 O D. Ho: H1 S H2 Hai H1> H2 E. Ho: H1 2 H2 Hai H1 <H2 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 three decimal places as needed. Use a comma to separate answers as needed.)
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 4.7 feet. The mean braking distance for Make B is 45 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. (a) Identify the claim and state H, and Ha. What is the claim? O A. The mean braking distance is the same for the two makes of 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 greater for Make A automobiles than Make B automobiles. What are Ho and H,? O A. Ho: H1 > H2 Hại H1 SH2 O B. Ho: H1 < H2 Ha: H12 H2 O C. Ho: H1 # H2 Hai H1 = H2 O D. Ho: H1 S H2 Hai H1> H2 E. Ho: H1 2 H2 Hai H1 <H2 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 three decimal places as needed. Use a comma to separate answers as needed.)
Expert Solution
Step 1

Let μ1 denote the mean braking distance of automobile A.

Let μ2 denote the mean braking distance of automobile B.

(A)

The claim is that the mean braking distances are different for the two makes of automobiles.

The correct option is, third option.

The null hypothesis is, Ho:μ1=μ2

The alternative hypothesis is, Ha:μ1≠μ2

The correct option is, option(F).

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