Does Octane matter? Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following is a sample of 11 cars. Each person was asked to drive his/her car for as long as a 10 gallon tank would take them. The mileage was recorded below. Person Miles on 87 Octane Miles on 92 Octane 1 234 237 2 257 238 3 243 229 4 215 224 5 114 119 287 297 7 315 351 8 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon, at the a =.02 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = 92 octane - 87 octane. Enter != for +. b) What is the significance level? c) What is the test statistic? Round to 3 decimal places. 6.
Does Octane matter? Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following is a sample of 11 cars. Each person was asked to drive his/her car for as long as a 10 gallon tank would take them. The mileage was recorded below. Person Miles on 87 Octane Miles on 92 Octane 1 234 237 2 257 238 3 243 229 4 215 224 5 114 119 287 297 7 315 351 8 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon, at the a =.02 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = 92 octane - 87 octane. Enter != for +. b) What is the significance level? c) What is the test statistic? Round to 3 decimal places. 6.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Does Octane Matter?**
Some people believe that different octane gasoline results in different miles per gallon in a vehicle. Below is a sample of 11 cars. Each person was asked to drive their car for as long as a 10-gallon tank would take them. The mileage was recorded as follows:
| Person | Miles on 87 Octane | Miles on 92 Octane |
|--------|--------------------|--------------------|
| 1 | 234 | 237 |
| 2 | 257 | 238 |
| 3 | 243 | 229 |
| 4 | 215 | 224 |
| 5 | 114 | 119 |
| 6 | 287 | 297 |
| 7 | 315 | 351 |
| 8 | 229 | 241 |
| 9 | 192 | 186 |
| 10 | 204 | 209 |
| 11 | 547 | 562 |
**Research Question:**
Do the data support that different octanes produce different miles per gallon at the \(\alpha = 0.02\) level of significance?
**Tasks:**
a) Express the null and alternative hypotheses in symbolic form for this claim. Assume \(d = \) (mileage on 92 octane - mileage on 87 octane). Use \( \neq \) for not equal.
- \( H_0: \mu_d = 0 \)
- \( H_a: \mu_d \neq 0 \)
b) What is the significance level?
- \( \alpha = 0.02 \)
c) What is the test statistic? Round to 3 decimal places.
- Test statistic \( = \) [Provide space for answer]
d) What is the p-value? Round to 5 decimal places.
- p = [Provide space for answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab306750-7c99-4ab7-aa22-5313632298af%2F5c8ab816-bba2-4cc3-96a9-e538c7655e1f%2Fihvbceh_processed.png&w=3840&q=75)
Transcribed Image Text:**Does Octane Matter?**
Some people believe that different octane gasoline results in different miles per gallon in a vehicle. Below is a sample of 11 cars. Each person was asked to drive their car for as long as a 10-gallon tank would take them. The mileage was recorded as follows:
| Person | Miles on 87 Octane | Miles on 92 Octane |
|--------|--------------------|--------------------|
| 1 | 234 | 237 |
| 2 | 257 | 238 |
| 3 | 243 | 229 |
| 4 | 215 | 224 |
| 5 | 114 | 119 |
| 6 | 287 | 297 |
| 7 | 315 | 351 |
| 8 | 229 | 241 |
| 9 | 192 | 186 |
| 10 | 204 | 209 |
| 11 | 547 | 562 |
**Research Question:**
Do the data support that different octanes produce different miles per gallon at the \(\alpha = 0.02\) level of significance?
**Tasks:**
a) Express the null and alternative hypotheses in symbolic form for this claim. Assume \(d = \) (mileage on 92 octane - mileage on 87 octane). Use \( \neq \) for not equal.
- \( H_0: \mu_d = 0 \)
- \( H_a: \mu_d \neq 0 \)
b) What is the significance level?
- \( \alpha = 0.02 \)
c) What is the test statistic? Round to 3 decimal places.
- Test statistic \( = \) [Provide space for answer]
d) What is the p-value? Round to 5 decimal places.
- p = [Provide space for answer]
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