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 1: Internship Group 2: Co-op Group 3: Work Study 12.5 13 9.5 11.25 11 11 10.75 10.25 10.5 12.75 9.5 8.75 13 10 11.75 12.25 12.25 11.5 12.5 10.5 13.75 12.25 9.75 13.5 9.25 13.75 10.75 10.25 13 12.25 11.5 12.25 This data can be downloaded in serial format using this link: Download CSV Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.05. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results. 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) P (report accurate to 4 decimal places) Conclusion: O The sample data suggest the average starting hourly wages are not the same. O There is not sufficient data to conclude the starting wages are different for the different groups.

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 1: Internship Group 2: Co-op Group 3: Work Study 12.5 13 9.5 11.25 11 11 10.75 10.25 10.5 12.75 9.5 8.75 13 10 11.75 12.25 12.25 11.5 12.5 10.5 13.75 12.25 9.75 13.5 9.25 13.75 10.75 10.25 13 12.25 11.5 12.25 This data can be downloaded in serial format using this link: Download CSV Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.05. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results. 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) P (report accurate to 4 decimal places) Conclusion: O The sample data suggest the average starting hourly wages are not the same. O There is not sufficient data to conclude the starting wages are different for the different groups.

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Description: The following three independent random samples are obtained from three normally distributedpopulations with equal variance. The dependent variable is starting hourly wage, and the groupsare the types of position (internship, co-op, work study).Group

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The community hospital is studying its distribution of patients. A random sample of 317 patients presently in the hospital gave the following information: Type of Patient Old rate of occurrences of the types of patients Present number of occurrences of these types of patients Maternity ward 20% 65 Cardiac ward 32% 100 Burn ward 10% 29 Children's ward 15% 48 All other wards 23% 75 Using a 5% level of significance, test the claim that the distribution of patients in these wards has not changed. Problem 1 (Test Statistic) A. χ2 = 0.036 B. χ2 = 315.36 C. χ2 = 0.355 D. χ2 = 1101.94 E. χ2 = 0.6322 Problem 2 (p-value, conclusion) A. p = 0.9965; RHo (Observed Values do not match Expectation) B. p = 0.9860; FRHo (Observed Values match Expectation) C. p = 0.9965; FRHo (Observed Values match Expectation) D. p = 0.9860; RHo (Observed Values do not match Expectation) E. p = 0.0035; RHo (Observed Values do not match Expectation)
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In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, what is the degrees of freedom for treatments? a. 5 b. 2 c. 4 d. 8
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Work Study 12.854 Co-op Internship ANOVA Table: Source Mean Standard Deviation Within Total 14.51 15.424 SS df 132.542 48 0.5487 Work Study vs. Co-op 1.8888 88.0834 46 1.9149 Work Study vs. Internship Co-op vs. Internship 0.449 MS Between 44.4586 2 22.2293 11.6086 8.3E-5 F -3.636 Sample Size Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Hint: Make sure to use Bonferroni's adjustment. -4.549 15 -1.755 24 10 P-value Test Statistic Adjusted P-value Statistically significant difference? 0.002 0.000…
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.01. Summary Statistics: Work Study 13.1813 Co-op 15.0517 Internship ANOVA Table: Source Between Within Mean Total 15.447 SS 42.1802 Standard Deviation df Work Study vs. Co-op 114.3338 48 Co-op vs. Internship 0.6592 1.6674 72.1536 46 1.5686 Work Study vs. Internship 0.4859 MS F Sample Size 15 24 2 21.0901 13.4452 2.5E-5 10 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? P-value ? ? ?
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