Asked by Charmaine Butler on Jun 30, 2024
Verified
A car dealer was interested in comparing two brands of tires to see if they yielded different wear length (in thousands of miles). The dealer selected eight cars at random and used each of the brands of tires on each car. The wear length was recorded as follows: Use the sign test to see if the distribution of wear length is the same for both brands of tires. Use = 0.05.
The null and alternate hypotheses are: : The distributions of wear length are identical for the two brands of tires, and p = 0.50. : The distributions of wear length are not identical for the two brands of tires, and p 0.50.
What is the test statistic?
x = ______________
What is the p-value for the test statistic?
______________
Conclusion ______________
Conclude that the distributions of wear length for the two brands of tires are ______________.
Sign Test
A nonparametric test used to determine if there is a difference between matched or paired observations.
Distribution
Refers to the way in which data points are spread out across the range of possible values in a dataset.
Test Statistic
A computed value used to decide whether to reject the null hypothesis in statistical hypothesis testing.
- Employ the sign test and interpret its findings.
- Implement the Wilcoxon Signed-Rank test for scrutinizing hypotheses and arrive at conclusions rooted in the test's outputs.
Verified Answer
CD
Learning Objectives
- Employ the sign test and interpret its findings.
- Implement the Wilcoxon Signed-Rank test for scrutinizing hypotheses and arrive at conclusions rooted in the test's outputs.
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