Question
A large automobile manufacturing company is trying to decide whether to purchase brand A or brand B tires for its new models. To help arrive
A large automobile manufacturing company is trying to
decide whether to purchase brand A or brand B tires for its
new models. To help arrive at a decision an experiment is
conducted. The tires are run until they wear out. The results
are
Brand A: n = 18, mean = 37,900 kilometers, SD = 4100 kilometers
Brand B: n = 12, mean = 39,800 kilometers, SD = 8900 kilometers
Assume the populations to be approximately normally distributed and the population variances are unequal. You want to test the hypothesis at the 0.05 level of significance that there is no difference in the two brands of
tires.
A. Calculate the 95% C for the difference
between the population means.
- -1900.00 5887.32
- -1900.00 5766.92
- -1900.00 5980.72
- -1900.00 95
- -1900.00 + 5
B. Calculate the test statistic and P-value.
- (14) = -0.69, p = .500
- (18) =-0.69, p = .498
- +(12) =0.69, p = .502
- (14) = 0.69, p<.001
- (17) =-0.69, p = .500
C. Make the decision and summarize the results
- Do not reject HO. There's not enough evidence to reject the claim that the average distance for brand A tires is the same as the average distance for brand B tires.
- Reject HO. There's not enough evidence to reject the claim that the average distance for brand A tires is the same as the average distance for brand B tires.
- Reject HO. There's enough evidence to reject the claim that the average distance for brand A tires is the same as the average distance for brand B tires.
- Do not reject HO. There's enough evidence to support the claim that the average distance for brand A tires is not the same as the average distance for brand B tires.
- None of these choices.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started