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.

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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.
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 |        |        |         |        |
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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