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, 10.5The 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.

Answered: The following three independent random…

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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Exercise on ANOVA 1. A dietition wanted to test three different diets to find out if the mean weight loss for each of these diets is the same. She randomly selected 21 overweight person, randomly divided them into three groups, and put each group on one of the three diets. The following table records the weights (In kg) loss by these persons after being on these diets for two months. Diet 1 Diet 2 Diet 3 15 11 9 8 16 17 17 9 11 7 16 8 26 24 15 12 20 6 8 19 14 a) We are to test if the mean weight lost by all persons on each of the three diets is the same. Write the null and alternative hypotheses. b) Show the rejection and nonrejection regions on the F distribution curve for a=0.025. c) Calculate SSB, SSW, and SST. d) What are the degrees of freedom for the numerator and denominator? e) Calculate the between-samples and within-samples variances. f) What is the critical value of F for α=0.025. g) What is the calculated value of the test statistic F? h) Write the ANOVA table for this…
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