2.10. Paired T-Test

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2.10. Paired T-Test

Data File: https://www.theopeneducator.com/doe/hypothesis-Testing-Inferential-Statistics-Analysis-of-Variance-ANOVA/0-all-data-module-2-hypothesis-testing

A bicycle tire manufacturer wants to test the front and rear tire life. The manufacturer collected data from 30 cyclists/bicycles for both rear and front tire life. The tire life (total miles ridden) data can be downloaded from the open educator website. What could be an appropriate statistical method to answer the research question?

10 points

Two sample z-test

Paired t-test

Two sample t-test with unequal variance

Two sample t-test with equal variance

Clear selection

A bicycle tire manufacturer wants to test the front and rear tire life. The manufacturer collected data from 30 cyclists/bicycles for both rear and front tire life. The tire life (total miles ridden) data can be downloaded from the open educator website. What statistical decision would you make for this problem?

10 points

Null hypothesis is rejected because the p-value is larger than the level of significance

Null hypothesis is not rejected because the p-value is larger than the level of significance

Null hypothesis is rejected because the p-value is smaller than the level of significance

Null hypothesis is not rejected because the p-value is smaller than the level of significance

Clear selection

10 points

Statistically, the rear tires significantly wear more than the front tires

Statistically, the front and rear tires are significantly same with respect to tire life

Statistically, the front and rear tires are significantly different with respect to tire life

Statistically, the front tires significantly wear more than the rear tires

Clear selection

A bicycle tire manufacturer wants to test the front and rear tire life. The manufacturer collected data from 30 cyclists/bicycles for both rear and front tire life. The tire life (total miles ridden) data can be downloaded from the open educator website. Which of the following represents the alternative hypothesis?

10 points

The mean front tire life is more than the mean rear tire life

The mean front tire life is less than the mean rear tire life

The mean front tire life is equal to the mean rear tire life

The mean front tire life is not equal to the mean rear tire life

Clear selection

A bicycle tire manufacturer wants to test the front and rear tire life. The manufacturer collected data from 30 cyclists/bicycles for both rear and front tire life. The tire life (total miles ridden) data can be downloaded from the open educator website [Data File Name: DOEM2.6]. Which of the following represents the null hypothesis?

10 points

The mean front tire life is equal to the mean rear tire life

The mean front tire life is less than the mean rear tire life

The mean front tire life is more than the mean rear tire life

The mean front tire life is not equal to the mean rear tire life

Clear selection

10 points

0.0118

0.0119

0.0077

0.0041

Clear selection

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