Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival.
Question 1 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
If we wish to determine if the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant, the null hypothesis would be
Question options:
Ho:
Ho:
Ho:
Ho:
Question 2 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
If we are interested in determining if the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant, the alternative hypothesis would be
Question options:
H1: f[mu _{d}=0f]
H1: f[mu _{d}>0f]
H1:
H1:
Question 3 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic?
Question options:
z = 1.8424
t = 1.8424
t = 2.7234
p = 2.7234
Question 4 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
What is the p-value associated with the test of hypothesis you conducted?
Question options:
p = .057403
p = .114986
p = .942597
p = .885014
Question 5 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
At the .05 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant?
Question options:
no
yes
It is impossible to determine
Question 6 Consider this scenario in answering questions 6 through 8. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
State the null and alternative hypotheses.
Question options:
Ho: , H1:
Ho: , H1:
Ho: p = .79, H1: p > .79
Ho: , H1: f$displaystyle hat{p}> .79f$
Question 7 Consider this scenario in answering questions 6 through 8. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
Compute the z or t value of the sample test statistic.
Question options:
z = 0.69
t = 1.645
z = 1.96
z = 0.62
Question 8 Consider this scenario in answering questions 6 through 8. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
What is your conclusion?
Question options:
Do not reject Ho
Reject Ho
Cannot determine
More seniors are going to college
Question 9 The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. Use these data to answer questions 9 through 11.
Store
1
2
3
4
5
6
Shelf Space
5
5
5
10
10
10
Weekly Sales
1.6
2.2
1.4
1.9
2.4
2.6
Store
7
8
9
10
11
12
Shelf Space
15
15
15
20
20
20
Weekly Sales
2.3
2.7
2.8
2.6
2.9
3.1
What is the equation for the least squares line?
Question options:
= 2.63 + 0.724x
f$displaystyle hat{y}f$ = 1.45 + 0.724x
f$displaystyle hat{y}f$ = 1.45 + 0.074x
f$displaystyle hat{y}f$ = 2.63 – 0.174x
Question 10 The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. Use these data to answer questions 9 through 11.
Store
1
2
3
4
5
6
Shelf Space
5
5
5
10
10
10
Weekly Sales
1.6
2.2
1.4
1.9
2.4
2.6
Store
7
8
9
10
11
12
Shelf Space
15
15
15
20
20
20
Weekly Sales
2.3
2.7
2.8
2.6
2.9
3.1
Compute the coefficient of determination.
Question options:
0.8270
0.6839
0.3081
0.0009
Question 11 The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. Use these data to answer questions 9 through 11.
Store
1
2
3
4
5
6
Shelf Space
5
5
5
10
10
10
Weekly Sales
1.6
2.2
1.4
1.9
2.4
2.6
Store
7
8
9
10
11
12
Shelf Space
15
15
15
20
20
20
Weekly Sales
2.3
2.7
2.8
2.6
2.9
3.1
Construct a 95% prediction interval estimate for the weekly sales, in hundreds of dollars, for a store with 8 feet of shelf space devoted to pet food.
Question options:
2.86 < y < 6.23
1.31 < y < 2.77
-0.131 < y < 1.84
1.54 < y < 4.24
Question 12 A market research study was conducted to compare three different brands of antiperspirant. The results of the study are summarized below. Use a 5% level of significance and test the claim that opinion is independent of brand. Use these data to answer questions 12 and 13.
Brand
Opinion
A
B
C
Total
Excellent
29
37
50
116
Satisfactory
83
65
83
231
Unsatisfactory
18
9
6
33
Total
130
111
139
380
What is the value of the sample test statistic?
Question options:
= 19.00
f$displaystyle chi ^{2}f$ = 9.49
F = 0.10
f$displaystyle chi ^{2}f$ = 11.91
Question 13 A market research study was conducted to compare three different brands of antiperspirant. The results of the study are summarized below. Use a 5% level of significance and test the claim that opinion is independent of brand. Use these data to answer questions 12 and 13.
Brand
Opinion
A
B
C
Total
Excellent
29
37
50
116
Satisfactory
83
65
83
231
Unsatisfactory
18
9
6
33
Total
130
111
139
380
What is your conclusion?
Question options:
Opinion and brand are independent
Opinion and brand are not independent
Cannot determine
Question 14 The data in the worksheet Customer Data in the Excel workbook MATH530_Exam3.xls, which is attached to this question as the hint, include the monthly sales totals from a random sample of 38 stores in a nation-wide chain of sporting goods stores. All stores in the chain are approximately the same size and carry essentially the same merchandise. Information—as described in the comments in each column—is also provided in this dataset regarding the customer base for each of the 38 stores in the sample. Use these data to answer questions 14 through 18.
Assuming a linear relationship exists, formulate a simple linear regression model that estimates the relationship between monthly sales (Y) and median family income (X).
Question options:
= 39.17 + 299876.81(X)
f$displaystyle hat{Y}f$ = 299876.81 + 39.17(X)
f$displaystyle hat{Y}f$ = 785476.90 + 43.96(X)
f$displaystyle hat{Y}f$ = 14.07 + 278756.44(X)
Question 15 The data in the worksheet Customer Data in the Excel workbook MATH530_Exam3.xls include the monthly sales totals from a random sample of 38 stores in a nation-wide chain of sporting goods stores. All stores in the chain are approximately the same size and carry essentially the same merchandise. Information—as described in the comments in each column—is also provided in this dataset regarding the customer base for each of the 38 stores in the sample. Use these data to answer questions 14 through 18.
Compute the coefficient of determination for the estimated regression model you derived in question 14. Enter it, rounded to four decimal places, in the blank.___
Question 16 The data in the worksheet Customer Data in the Excel workbook MATH530_Exam3.xls include the monthly sales totals from a random sample of 38 stores in a nation-wide chain of sporting goods stores. All stores in the chain are approximately the same size and carry essentially the same merchandise. Information—as described in the comments in each column—is also provided in this dataset regarding the customer base for each of the 38 stores in the sample. Use these data to answer questions 14 through 18.
At the .05 level of significance, is there evidence of a statistically significant linear relationship between monthly sales and median family income?
Question options:
No
Yes
It cannot be determined
Question 17 Using the estimated regression equation derived in question 14, find a 95% confidence interval estimate for the monthly sales associated with a store located in an area where the median family income is $35000. Place your limits, rounded to the nearest dollar, in the blanks. Do not use dollar signs, commas, or other punctuation in your responses. A minus sign can be used. For example, -67543 or 4336452 would be valid entries. Lower limit =___; Upper limit =______
Answer for blank # 1:
Answer for blank # 2:
Question 18 With respect to the response variable, monthly sales, which predictor variable among those given in the worksheet CustomerData, provides the most explanatory power?
Question options:
Age
Growth
Income
HS
College
Question 19 Data regarding the salaries and bonuses received by the nearly 1800 players in the National Football League during the 2000 season are provided in the worksheet NFL2000 in the Excel workbook MATH530_Exam3.xls, which can be found as an attachment to this question. Using these data, perform an appropriate test of hypothesis, at the = .05 level of significance, to determine whether compensation for players in the NFL is dependent on the team for which they play.
What is the value of the sample test statistic?
Question options:
= 113.15
f$displaystyle chi ^{2}f$ = 160.47
p = 0.0001
f$displaystyle chi ^{2}f$ = 224.78
Question 20 Data regarding the salaries and bonuses received by the nearly 1800 players in the National Football League during the 2000 season are provided in the worksheet NFL2000 in the Excel workbook MATH530_Exam3.xls. Using these data, perform an appropriate test of hypothesis, at the = .05 level of significance, to determine whether compensation for players in the NFL is dependent on the team for which they play.
What is your conclusion?
Question options:
Salary and team membership are independent
Salary and team membership are dependent
Cannot determine
The Pittsburgh Steelers are the best franchise in the NFL
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