In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned with a company's strategy, culture, and ethics. For example, in 2017, Nordstrom, Amazon, and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com website). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research 7 a. Use a = 0.05 to test for a significant difference in perception among the three groups. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment 9 8 7 8 9 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? - Select your answer - + b. Using a = 0.05, determine where differences between the mean perception scores occur. Calculate Fisher's LSD value (to 2 decimals). 5 5 4 4 5 4 Advertising 10 11 10 9 10 10

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### Analysis of Variance (ANOVA) Summary

#### Test Statistic Inputs:
- **Sum of Squares, Treatment**: [Input required]
- **Sum of Squares, Error**: [Input required]
- **Mean Squares, Treatment**: [Input required]
- **Mean Squares, Error**: [Input required]

**Calculate the value of the test statistic (to 2 decimals)**:
\[ [Input required] \]

**The *p*-value is**:
\[ [Dropdown selection required] \]

**What is your conclusion?**:
\[ [Dropdown selection required] \]

---

**Using \(\alpha = 0.05\), determine where differences between the mean perception scores occur.**

**Calculate Fisher's LSD value (to 2 decimals)**:
\[ [Input required] \]

### Mean Perception Score Differences:

#### Test whether there is a significant difference between the means for marketing managers \( (1) \), marketing research specialists \( (2) \), and advertising specialists \( (3) \).

| Difference (to 1 decimal) | Absolute Value      | Conclusion                      |
|---------------------------|---------------------|---------------------------------|
| \(\bar{x}_1 - \bar{x}_2\) | [Input required]   | [Dropdown selection required]  |
| \(\bar{x}_1 - \bar{x}_3\) | [Input required]   | [Dropdown selection required]  |
| \(\bar{x}_2 - \bar{x}_3\) | [Input required]   | [Dropdown selection required]  |

---

**Icons**: 

- **Hint(s)**: [Available link]
- **Check My Work**: [Available link]

---

This template is designed to guide users through the ANOVA (Analysis of Variance) process, where they input specific values, calculate test statistics, and draw conclusions about differences in mean perception scores between different groups. The aim is to make the process comprehensive and user-friendly, with specific sections for important calculations and decisions.
Transcribed Image Text:### Analysis of Variance (ANOVA) Summary #### Test Statistic Inputs: - **Sum of Squares, Treatment**: [Input required] - **Sum of Squares, Error**: [Input required] - **Mean Squares, Treatment**: [Input required] - **Mean Squares, Error**: [Input required] **Calculate the value of the test statistic (to 2 decimals)**: \[ [Input required] \] **The *p*-value is**: \[ [Dropdown selection required] \] **What is your conclusion?**: \[ [Dropdown selection required] \] --- **Using \(\alpha = 0.05\), determine where differences between the mean perception scores occur.** **Calculate Fisher's LSD value (to 2 decimals)**: \[ [Input required] \] ### Mean Perception Score Differences: #### Test whether there is a significant difference between the means for marketing managers \( (1) \), marketing research specialists \( (2) \), and advertising specialists \( (3) \). | Difference (to 1 decimal) | Absolute Value | Conclusion | |---------------------------|---------------------|---------------------------------| | \(\bar{x}_1 - \bar{x}_2\) | [Input required] | [Dropdown selection required] | | \(\bar{x}_1 - \bar{x}_3\) | [Input required] | [Dropdown selection required] | | \(\bar{x}_2 - \bar{x}_3\) | [Input required] | [Dropdown selection required] | --- **Icons**: - **Hint(s)**: [Available link] - **Check My Work**: [Available link] --- This template is designed to guide users through the ANOVA (Analysis of Variance) process, where they input specific values, calculate test statistics, and draw conclusions about differences in mean perception scores between different groups. The aim is to make the process comprehensive and user-friendly, with specific sections for important calculations and decisions.
### Ethical Perceptions Among Marketing Professionals

In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned with a company’s strategy, culture, and ethics. For example, in 2017, Nordstrom, Amazon, and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website ([ChiefMarketer.com](https://www.chiefmarketer.com/) website). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values).

#### Data Table:
|                        | Marketing Managers | Marketing Research | Advertising |
|------------------------|--------------------|--------------------|-------------|
| **Scores**             |                    |                    |             |
|                        | 9                  | 5                  | 10          |
|                        | 8                  | 5                  | 11          |
|                        | 7                  | 4                  | 10          |
|                        | 8                  | 4                  | 9           |
|                        | 9                  | 5                  | 10          |
|                        | 7                  | 4                  | 10          |

### Statistical Analysis

#### Part a: Testing for Significant Differences
- **Objective:** Use \(\alpha = 0.05\) to test for a significant difference in perception among the three groups.
- **Instructions:** Compute the values identified below (to 2 decimals, if necessary).

##### Required Calculations:
- Sum of Squares, Treatment: \_\_\_\_\_\_
- Sum of Squares, Error: \_\_\_\_\_\_
- Mean Squares, Treatment: \_\_\_\_\_\_
- Mean Squares, Error: \_\_\_\_\_\_

- **Calculate the value of the test statistic (to 2 decimals).**

**The \(p\)-value is:** 
- [Dropdown options are required here]

**What is your conclusion?**
- [Dropdown options are required here]

#### Part b: Analyzing Differences Between Means
- **Objective:** Using \(\alpha = 0.05\), determine where differences between the mean perception scores occur.
- **Instruction:** Calculate Fisher's LSD value (to 2 decimals).

**Test whether there is a significant difference between the means for marketing managers
Transcribed Image Text:### Ethical Perceptions Among Marketing Professionals In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned with a company’s strategy, culture, and ethics. For example, in 2017, Nordstrom, Amazon, and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website ([ChiefMarketer.com](https://www.chiefmarketer.com/) website). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). #### Data Table: | | Marketing Managers | Marketing Research | Advertising | |------------------------|--------------------|--------------------|-------------| | **Scores** | | | | | | 9 | 5 | 10 | | | 8 | 5 | 11 | | | 7 | 4 | 10 | | | 8 | 4 | 9 | | | 9 | 5 | 10 | | | 7 | 4 | 10 | ### Statistical Analysis #### Part a: Testing for Significant Differences - **Objective:** Use \(\alpha = 0.05\) to test for a significant difference in perception among the three groups. - **Instructions:** Compute the values identified below (to 2 decimals, if necessary). ##### Required Calculations: - Sum of Squares, Treatment: \_\_\_\_\_\_ - Sum of Squares, Error: \_\_\_\_\_\_ - Mean Squares, Treatment: \_\_\_\_\_\_ - Mean Squares, Error: \_\_\_\_\_\_ - **Calculate the value of the test statistic (to 2 decimals).** **The \(p\)-value is:** - [Dropdown options are required here] **What is your conclusion?** - [Dropdown options are required here] #### Part b: Analyzing Differences Between Means - **Objective:** Using \(\alpha = 0.05\), determine where differences between the mean perception scores occur. - **Instruction:** Calculate Fisher's LSD value (to 2 decimals). **Test whether there is a significant difference between the means for marketing managers
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