Exhibit 10-19 Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to driv each automobile for a specified distance. The following data show the results of the test. Driver 2 3 5 6 7 8 Manufacturer A 32 27 26 26 25 29 31 25 Manufacturer B 28 22 27 24 24 25 28 27 Refer to Exhibit 10-19. What procedure in Excel would we use to conduct a hypothesis test? Anova: Single Factor t-Test: Paired Two Sample for Means z-Test: Two Sample for Means t-Test: Two Sample Assuming Unequal Variances

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**Exhibit 10-19**

Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.

| Driver | Manufacturer A | Manufacturer B |
|--------|----------------|----------------|
| 1      | 32             | 28             |
| 2      | 27             | 22             |
| 3      | 26             | 27             |
| 4      | 26             | 24             |
| 5      | 25             | 24             |
| 6      | 29             | 25             |
| 7      | 31             | 28             |
| 8      | 25             | 27             |

Refer to Exhibit 10-19. What procedure in Excel would we use to conduct a hypothesis test?

- ☐ Anova: Single Factor
- ☐ t-Test: Paired Two Sample for Means
- ☐ z-Test: Two Sample for Means
- ☐ t-Test: Two Sample Assuming Unequal Variances

**Explanation of the Procedure:**

This scenario involves comparing the means of two independent samples (Manufacturer A and Manufacturer B) to see if there is a significant difference between them regarding fuel efficiency.

When choosing a statistical test:
- If the variances of the two samples are assumed unequal, a "t-Test: Two Sample Assuming Unequal Variances" is appropriate.
- If the samples are paired (e.g., the same vehicle tested under different conditions), a paired t-test would be appropriate, but this does not apply here since the samples are independent.

Thus, for this analysis, you would likely select the option to conduct a "t-Test: Two Sample Assuming Unequal Variances" to account for any potential differences in sample variance.
Transcribed Image Text:**Exhibit 10-19** Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test. | Driver | Manufacturer A | Manufacturer B | |--------|----------------|----------------| | 1 | 32 | 28 | | 2 | 27 | 22 | | 3 | 26 | 27 | | 4 | 26 | 24 | | 5 | 25 | 24 | | 6 | 29 | 25 | | 7 | 31 | 28 | | 8 | 25 | 27 | Refer to Exhibit 10-19. What procedure in Excel would we use to conduct a hypothesis test? - ☐ Anova: Single Factor - ☐ t-Test: Paired Two Sample for Means - ☐ z-Test: Two Sample for Means - ☐ t-Test: Two Sample Assuming Unequal Variances **Explanation of the Procedure:** This scenario involves comparing the means of two independent samples (Manufacturer A and Manufacturer B) to see if there is a significant difference between them regarding fuel efficiency. When choosing a statistical test: - If the variances of the two samples are assumed unequal, a "t-Test: Two Sample Assuming Unequal Variances" is appropriate. - If the samples are paired (e.g., the same vehicle tested under different conditions), a paired t-test would be appropriate, but this does not apply here since the samples are independent. Thus, for this analysis, you would likely select the option to conduct a "t-Test: Two Sample Assuming Unequal Variances" to account for any potential differences in sample variance.
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