The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 2: Co-op Group 3: Work Study Group 1: Internship 10 10.5 11.25 11 9.25 10.25 9.75 13.25 10.5 12.5 10.5 10.75 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.01. Group means (report to 2 decimal places): Group 1: Internship: Group 2: Co-op: Group 3: Work Study: ANOVA summary statistics: F-ratio = (report accurate to 3 decimal places) 12.25 10.5 10.75 11.5 10 10.5 p = (report accurate to 4 decimal places)

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The image presents data and instructions for conducting a one-factor ANOVA to compare starting hourly wages across three different types of positions: internships, co-ops, and work-study jobs.

**Data Table:**
- **Group 1: Internship** 
  - 10, 11.25, 9.25, 9.75, 10.5, 10.5
- **Group 2: Co-op**
  - 10.5, 11, 10.25, 13.25, 12.5, 10.75
- **Group 3: Work Study**
  - 12.25, 10.5, 10.75, 11.5, 10, 10.5

The objective is to determine if the mean starting hourly wages are equal across the three groups using a significance level (\(\alpha\)) of 0.01.

**Instructions:**
1. **Calculate Group Means:** 
   - Find the mean for each group and report to two decimal places.

2. **Conduct One-Factor ANOVA:** 
   - Use technology to calculate the ANOVA summary statistics.
   - Report the \( F \)-ratio to three decimal places.
   - Report the \( p \)-value to four decimal places.

**Conclusion:**
- Evaluating whether the \( p \)-value is less than 0.01 will determine if there is a significant difference between the group means.
Transcribed Image Text:The image presents data and instructions for conducting a one-factor ANOVA to compare starting hourly wages across three different types of positions: internships, co-ops, and work-study jobs. **Data Table:** - **Group 1: Internship** - 10, 11.25, 9.25, 9.75, 10.5, 10.5 - **Group 2: Co-op** - 10.5, 11, 10.25, 13.25, 12.5, 10.75 - **Group 3: Work Study** - 12.25, 10.5, 10.75, 11.5, 10, 10.5 The objective is to determine if the mean starting hourly wages are equal across the three groups using a significance level (\(\alpha\)) of 0.01. **Instructions:** 1. **Calculate Group Means:** - Find the mean for each group and report to two decimal places. 2. **Conduct One-Factor ANOVA:** - Use technology to calculate the ANOVA summary statistics. - Report the \( F \)-ratio to three decimal places. - Report the \( p \)-value to four decimal places. **Conclusion:** - Evaluating whether the \( p \)-value is less than 0.01 will determine if there is a significant difference between the group means.
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P value

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