Reference no: EM13879136
Please study Ch12 to finish this homework assignment. You can calculate the answers following steps in the textbook (Five Steps in Hypothesis Testing: A Summary on Page 397-98)practice and weekly materials on BlackBoard. Also, please familiar with how to interpret the results using your own words following each definitions (See interpretation on Page 399-400). Please continue to remind yourself about the issue of rounding error and should develop a general classroom rule to round to a specific decimal point (i.e., 2 decimal points) for all calculations.
Problem set 1: Use the following data to answer questions 1-5
A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups . Based on the data below, answer these questions.
|
Race
|
N
|
Mean
|
|
Black
|
113
|
25.39
|
|
White
|
904
|
22.99
|
|
Other
|
144
|
23.87
|
|
All Groups
|
1,161
|
23.33
|
1. Calculate the value of the between group sum of squares (SSB, ).
|
Race
|
Y bar for each group
|
Total mean
|
Group mean - Total mean
|
Square of the difference
|
The number of cases
|
Nk*Square of the difference
|
|
Black
|
|
|
|
|
|
|
|
White
|
|
|
|
|
|
|
|
Other
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sum up=
|
2. Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between
3. If the F statistic calculated for these data is 8.49, what is the value of the mean square within n
4. Following answer of #3, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares
5. Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. If the critical value for an F statistic of 8.49 is 2.99, are these results statistically significant or not
Problem set 2: Use the following datato answer questions 6-10 :
We take another look at health based on the practice question on Page 408, this time examining the relationship between educational attainment and perceived quality of health care. Data for three groups are presented based on the HINTS2012 data set. Present the five-step model for these data, using alpha = .01. QUALITYCARE is measured on a five-point scale: 1-excellenet, 2-very good, 3-good, 4-fair, and 5-poor. Note how a lower score indicates a higher quality of care.
|
Less Than High School
|
Some College
|
College Graduate
|
|
1
|
2
|
1
|
|
4
|
3
|
1
|
|
2
|
2
|
1
|
|
2
|
2
|
2
|
|
3
|
4
|
1
|
|
3
|
2
|
2
|
6. Find the answers for the worksheet (10 pts).
|
Less Than High School
|
Some College
|
College Graduate
|
|
1
|
2
|
1
|
|
4
|
3
|
1
|
|
2
|
2
|
1
|
|
2
|
2
|
2
|
|
3
|
4
|
1
|
|
3
|
2
|
2
|
|
Sum Y1=
|
Sum Y2=
|
Sum Y3=
|
|
Mean Y1=
|
Mean Y2=
|
Mean Y3=
|
|
Sum up square of Y1=
|
Sum up square of Y2=
|
Sum up square of Y3=
|
|
K1=
|
K2=
|
K3=
|
|
Total mean =
|
|
N =
|
7. Calculate the degrees of freedom for SSB and SSW
8. Calculate Mean Square within and Mean Square between
9. What's the F statistic in this data
10. Make decision if alpha was set up at .05, and please use Appendix E (Page to discuss your decision making
Problem set 3: Use the following data to answer questions 11-15 :
Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. Use the data in the accompanying table to calculate question 11 to 15.
|
Highest Degree
|
N
|
Mean
|
|
Less than high school
|
195
|
22.47
|
|
High school
|
590
|
22.87
|
|
Junior college
|
86
|
23.71
|
|
Bachelor's degree
|
185
|
24.58
|
|
Graduate degree
|
104
|
25.10
|
|
All Groups
|
1,161
|
23.33
|
11. Answer the blanks in the worksheet (8 pts).
|
Highest Degree
|
Y bar for each group
|
Total mean
|
Group mean - Total mean
|
Square of the difference
|
The number of cases
|
Nk*Square of the difference
|
|
Less than high school
|
|
|
|
|
|
|
|
High school
|
|
|
|
|
|
|
|
Junior college
|
|
|
|
|
|
|
|
Bachelor's degree
|
|
|
|
|
|
|
|
Graduate degree
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sum up=
|
12. Calculate the value of the between group sum of squares .
13. Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between .
14. If the F statistic is 6.10, use the data below to determine the value of the mean square within .
15. If the value of the mean square within for these data is 36.87, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares .
Problem set 4: Use the following data to answer questions 16-17 :
1. Set alpha at .05 and test the null hypothesis of equal means .
2. I f alpha were set at .01, would your decision remain the same ?
|
What is the preferred wayfor people to order fast food
: What is the preferred wayfor people to order fast food? A survey was conducted in 2009, but the samplesizes were not reported. Suppose the results, based on a sample of 100 males and 100 females,were as follows:
|
|
Determining the efficient operation
: It is proposed to run the pump of Prob. 11.35 at 880 rpm to pump water at 20°C through the system of Fig. The pipe is 20-cm diameter commercial steel. What flow rate in ft3/min results? Is this an efficient operation?
|
|
Design transportation problem minimize transportation cost
: The demands of distribution centers d and e are 2,300 and 1,400 items, respectively. The transportation is conducted by truck at the cost of 8 cents per item per kilometer. Design a transportation problem to minimize transporta- tion costs
|
|
Calculate the value of the between group sum of squares
: Calculate the value of the between group sum of squares Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between ). If the F statistic is 6.10, use the data below to determin..
|
|
Develop a general classroom rule to round
: Please continue to remind yourself about the issue of rounding error and should develop a general classroom rule to round to a specific decimal point (i.e., 2 decimal points) for all calculations.
|
|
The company conducted a thorough internal audit
: Conrad Playground Supply underwent a restructuring in 2013. The company conducted a thorough internal audit, during which the following facts were discovered.
|
|
Determining the pressure measurements
: SAE 30 oil at 20°C flows in the 3-cm-diameter pipe in Fig, which slopes at 37° for the pressure measurements shown, determine
|
|
Discuss advantages of minimum value threshold
: Using your preferred technique, identify a solution that addresses this concern while continuing to maximize the weighted total of the eco- logical score and scenic values given a budget of $25 million. Discuss the advantages and disadvantages of ..
|
|
Chapter 3 - determine the slope of the line graphed
: where n is the number of years since 1990 and D is the deficit in millions of dollars. Which answer below correctly displays the graph of the equation - Determine the slope of the line graphed below.
|