In a bumper test, three types of autos were dellberately crashed Into a barrler at 5 mph, and the resulting damage (In dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage ($) Varmint Goliath lieasel 1,630 750 1,250 1,460 1,360 1,88e 920 1,0se 2,130 1,800 1,270 1,900 880 1,98e 1,200 Click here for the Excel Data File Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)
In a bumper test, three types of autos were dellberately crashed Into a barrler at 5 mph, and the resulting damage (In dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage ($) Varmint Goliath lieasel 1,630 750 1,250 1,460 1,360 1,88e 920 1,0se 2,130 1,800 1,270 1,900 880 1,98e 1,200 Click here for the Excel Data File Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)
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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![In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
**Research Question:** Are the mean crash damages the same for these three vehicles?
### Crash Damage ($)
| | Goliath | Varmint | Weasel |
|----------|---------|---------|--------|
| 1,600 | 1,250 | 1,800 |
| 750 | 1,450 | 2,100 |
| 880 | 1,360 | 1,280 |
| 1,980 | 1,880 | 1,270 |
| 1,230 | 920 | 1,900 |
[Click here for the Excel Data File]
### Fill in the Missing Data
*(Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)*
| Group | Mean | n | Standard Deviation | Variances |
|---------|------|---|---------------------|-----------|
| Goliath | | | | |
| Varmint | | | | |
| Weasel | | | | |
| Total | | | | |
#### One-Factor ANOVA
| Source | SS | df | MS | F | p-value |
|------------|----|----|----|---|---------|
| Treatment | | | | | |
| Error | | | | | |
| Total | | | | | |
**Instructions:** Complete the tables by calculating the mean, standard deviation, variances, and ANOVA components. Use the data provided to determine whether there is a statistically significant difference in the mean crash damages between the three vehicle types.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62c5d8d4-bf52-40ff-9a64-70401b9ed938%2F65e7eddd-c35e-4553-a43f-a257511a5745%2Fx3e3ec5_processed.png&w=3840&q=75)
Transcribed Image Text:In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
**Research Question:** Are the mean crash damages the same for these three vehicles?
### Crash Damage ($)
| | Goliath | Varmint | Weasel |
|----------|---------|---------|--------|
| 1,600 | 1,250 | 1,800 |
| 750 | 1,450 | 2,100 |
| 880 | 1,360 | 1,280 |
| 1,980 | 1,880 | 1,270 |
| 1,230 | 920 | 1,900 |
[Click here for the Excel Data File]
### Fill in the Missing Data
*(Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)*
| Group | Mean | n | Standard Deviation | Variances |
|---------|------|---|---------------------|-----------|
| Goliath | | | | |
| Varmint | | | | |
| Weasel | | | | |
| Total | | | | |
#### One-Factor ANOVA
| Source | SS | df | MS | F | p-value |
|------------|----|----|----|---|---------|
| Treatment | | | | | |
| Error | | | | | |
| Total | | | | | |
**Instructions:** Complete the tables by calculating the mean, standard deviation, variances, and ANOVA components. Use the data provided to determine whether there is a statistically significant difference in the mean crash damages between the three vehicle types.
![**Hypothesis Testing and Decision Making**
**Section 1**
Based on the given hypotheses, choose the right option.
- \(H_0: \mu_1 = \mu_2 = \mu_3\)
- \(H_1:\) Not all the means are equal
\(\alpha = 0.05\)
- O Reject the null hypothesis if p-value > 0.05
- O Reject the null hypothesis if p-value < 0.05
**Section 2**
On the basis of the above findings, we cannot reject the null hypothesis.
- O True
- O False
**Section 3**
Based on the given hypotheses, choose the right option.
- \(H_0: \sigma_1^2 = \sigma_2^2 = \sigma_3^2\)
- \(H_1:\) Not all the variances are equal
\(\alpha = 0\)
- O Reject the null hypothesis if H > 15.5
- O Reject the null hypothesis if H < 15.5
**Section 4**
Calculate the value of \(H_{calc}\). *(Round your answer to 2 decimal places.)*
[Text Box for Answer Entry]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62c5d8d4-bf52-40ff-9a64-70401b9ed938%2F65e7eddd-c35e-4553-a43f-a257511a5745%2Fpz2vy92_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing and Decision Making**
**Section 1**
Based on the given hypotheses, choose the right option.
- \(H_0: \mu_1 = \mu_2 = \mu_3\)
- \(H_1:\) Not all the means are equal
\(\alpha = 0.05\)
- O Reject the null hypothesis if p-value > 0.05
- O Reject the null hypothesis if p-value < 0.05
**Section 2**
On the basis of the above findings, we cannot reject the null hypothesis.
- O True
- O False
**Section 3**
Based on the given hypotheses, choose the right option.
- \(H_0: \sigma_1^2 = \sigma_2^2 = \sigma_3^2\)
- \(H_1:\) Not all the variances are equal
\(\alpha = 0\)
- O Reject the null hypothesis if H > 15.5
- O Reject the null hypothesis if H < 15.5
**Section 4**
Calculate the value of \(H_{calc}\). *(Round your answer to 2 decimal places.)*
[Text Box for Answer Entry]
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