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 4.9 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.6 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. .....

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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A) I DENTIFY THE CLAIM AND STATE HO AND HA

B)FIND THE CRITICAL VALUES AND IDENTIFY THE REJECT REGIONS 

C) FIND THE STANDARDIZED TEST STAISTIC Z FOR μ1−μ2.

D) DECIDE WHETHER TO REJECT OF FAIL TO REJECT THE NULL HYPOTHESIS 

E)

(e) Interpret the decision in the context of the original claim.
 
At the _____ significance​ level, there (is/is not) evidence to (support/reject )the claim that the mean braking distance for Make A automobiles is (equal to/less than/greater than/different from) 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 42 feet. Assume the population standard deviation is
4.9 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.6 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.
.....
(a) Identify the claim and state Ho and Ha.
What is the claim?
The mean brakina distance is areater for Make A automobiles than 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 42 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.6 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. ..... (a) Identify the claim and state Ho and Ha. What is the claim? The mean brakina distance is areater for Make A automobiles than Make B automobiles
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