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## Statistics

problems related to ANOVA and regression.

A researcher wants to know if there is a relationship between the person's highest level of education (IV) and differences in life satisfaction (DV).  She places her subjects into four samples, i.e., 1) less than a high school degree, 2) high school graduate, 3) some college, or 4) college degree. She creates a life satisfaction survey using a 4-point ordinal scale.

1. Would the Kruskal-Wallis be an appropriate statistical process to test this Research problem (RQ)?  Please describe your answer.

2. When would you use the Chi-Square test rather than the One-Way Anova?

For items 3 to 4: State a research hypothesis that can be tested by:

3. Pearson Correlation.

4. Simple Regression.

5. If you have multiple regression output with two independent variables and the R-Square is .9682, what does the R-Square indicate?

6. The results of your correlation analysis show that you have a correlation of +.9362 between salary and age.  What three statements can you make about the relationship between the variables?

7. If the IV requires you to classify students by their college major (e.g., accounting, human resources, health services, financial management, etc.), what kind of measurement scale do you have?

8.

 Sum of Squares df Mean Square F Sig. Self-Concept Between Groups 1914.087 4 478.522 1.297 0.298 Within Groups 9223.687 25 368.947 Total 11137.8 29

Sig. = Probability Value

Alpha Level = .05

F-critical = 2.76

The above, item 8, ANOVA test displays the results of three different seminars (IV) each designed to improve self-concept (DV).  From the data provided, were any of the seminars more effective than any of the others in improving self-concept?  Select the best answer from the list that follows:

i. Yes, all three seminars enhanced self-concept.

ii. No, there were no differences in the effectiveness of any of the seminars on improving self-concept.

iii. Yes, one of the seminars was significantly more effective than the other two.

iv. None of the above (i.e., a, b, c) is accurate.

9. A researcher wants to collect data about the study habits of sophomores at Harmond University. From the sophomore class of 2,300 students, she wants to collect a sample of 70 students. Which of the following sampling methods will yield the most representative sample?

a. at random selecting 70 sophomores entering the university's main library on a randomly selected evening.

b. Selecting the 70 sophomores whose grade point averages (GPA) fall closest to the mean GPA of the sophomore class.

c. handover each sophomore a number and then randomly generating 70 numbers from that list.

d. at random selecting 70 sophomores who are members of college fraternities.

10.

 Hours Worked and Amount of Sales (in dollars) Regression Statistics Multiple R 0.9709 R2 0.9426 Adjusted R2 0.9394 F test results Standard Error 1,889 F value Signif. F Observations 20 295.51 0.0000 Coefficients Std Error t Stat P-value Intercept 62,695 1,325 47.31 0.0000 Hours Worked 3,786 220 17.19 0.0000

Which of the following statements are true based on the statistical output featured above?

a. Hours worked is a significant predictor of amount of sales.

b. About 94 percent of amount of sales can be describeed by hours worked.

c. Intercept is not a significant predictor of hours worked.

d. Both a and b are true.

e. Neither a, b, or c are true.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M922889

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