Report an appropriate hypothesis test and use a 5% significance level. This question is about the second part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class. Choose the correct option. The final conclusion of the test would be to … Group of answer choices … not accept that density affects firing temperature. … not accept that firing temperature affects density. … accept that density affects firing temperature. … accept that firing temperature affects density.
Report an appropriate hypothesis test and use a 5% significance level. This question is about the second part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class. Choose the correct option. The final conclusion of the test would be to … Group of answer choices … not accept that density affects firing temperature. … not accept that firing temperature affects density. … accept that density affects firing temperature. … accept that firing temperature affects density.
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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Question
Report an appropriate hypothesis test and use a 5% significance level.
This question is about the second part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class.
Choose the correct option.
The final conclusion of the test would be to …
Group of answer choices
… not accept that density affects firing temperature.
… not accept that firing temperature affects density.
… accept that density affects firing temperature.
… accept that firing temperature affects density.

Transcribed Image Text:Use the information provided below for the **BRICKS** questions that follow.
---
### ONE-WAY ANOVA
Data from #13-13 pp.520 of “Applied Statistics and Probability for Engineers” Fourth edition by Douglas C. Montgomery & George C. Runger.
The goal of this experiment was to see if four specific **firing temperatures** (100, 125, 150, and 175 degrees Fahrenheit) had any effect on the **density** of a certain type of brick. The units for density are not known. The firing temperatures are being treated as categories rather than quantities.
#### Graph
A scatter plot displays the density of bricks at four different firing temperatures. The X-axis represents the firing temperatures (100, 125, 150, 175), and the Y-axis represents the density. Each temperature category is represented by a different colored symbol:
- Blue diamond for 100
- Orange square for 125
- Gray triangle for 150
- Yellow circle for 175
The data points show variability in density for each firing temperature.
#### Anova: Single Factor
**SUMMARY**
| Groups | Count | Sum | Average | Variance |
|--------|-------|-------|----------|----------|
| 100 | 7 | 152 | 21.7143 | 0.0181 |
| 125 | 4 | 86.1 | 21.525 | 0.0158 |
| 150 | 5 | 108.6 | 21.72 | 0.027 |
| 175 | 6 | 130.5 | 21.75 | 0.011 |
**ANOVA Table**
| Source of Variation | SS | df | MS | F | P-value | F crit |
|---------------------|--------|----|--------|--------|---------|--------|
| Between Groups | 0.1391 | 3 | 0.0464 | 2.6159 | 0.0827 | 3.1599 |
| Within Groups | 0.3191 | 18 | 0.0177 | | | |
| Total | 0.4582 | 21 | | | | |
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