Assignment:
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
1. 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
A) H0: μd = 0
B) H0: μd > 0
C) H0: μd < 0
D) H0: μd ≠ 0
2. 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
A) H1: μd = 0
B) H1: μd > 0
C) H1: μd ≤ 0
D) H1: μd ≠ 0
3. 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?
A) z = 1.8424
B) t = 1.8424
C) t = 2.7234
D) p = 2.7234
4. What is the p-value associated with the test of hypothesis you conducted?
A) p = .057403
B) p = .114986
C) p = .942597
D) p = .885014
5. 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?
A) no
B) yes
C) It is impossible to determine
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.
6. State the null and alternative hypotheses.
A) H0: μ = .79, H1: μ > .79
B) H0: p = .79, H1: p ≠ .79
C) H0: p = .79, H1: p > .79
D) H0: = .79, H1: > .79
7. Compute the z or t value of the sample test statistic.
A) z = 0.69
B) t = 1.645
C) z = 1.96
D) z = 0.62
8. What is your conclusion?
A) Do not reject H0
B) Reject H0
C) Cannot determine
D) More seniors are going to college
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
9. What is the equation for the least squares line?
A) y^= 2.63 + 0.724x
B) y^= 1.45 + 0.724x
C) y^ = 1.45 + 0.074x
D) y^ = 2.63 - 0.174x
10. Compute the coefficient of determination.
A) 0.8270
B) 0.6839
C) 0.3081
D) 0.0009
11. 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.
A) 2.86 < y < 6.23
B) 1.31 < y < 2.77
C) -0.131 < y < 1.84
D) 1.54 < y < 4.24
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
12. What is the value of the sample test statistic?
A) Χ2=19.00
B) Χ2=9.49
C) F = 0.10
D) Χ2=11.91
13. What is your conclusion?
A) Opinion and Brand are independent
B) Opinion and Brand are not independent
C) Cannot determine
Customer base data for sporting goods stores
Store # Sales Age Growth Income HS College
1 1695712.62 33.1574 0.8299 26748.51 73.5949 17.835
2 3403862.053 32.6667 0.6619 53063.79 88.4557 31.9439
3 2710352.905 35.6553 0.9688 36090.14 73.5362 18.6198
4 529215.459 33.0728 0.0821 32058.07 79.178 20.6284
5 663686.654 35.7585 0.4646 47843.42 84.1838 35.2032
6 2546324.335 33.8132 2.1796 50180.97 93.4996 41.7057
7 2787046.202 30.9797 1.8048 30710.08 78.0234 28.025
8 612696.054 30.7843 -0.0569 29141.7 70.2949 15.0882
9 891822.033 32.3164 -0.1577 25980.15 70.6674 10.9829
10 1124967.965 32.5312 0.3664 18730.88 63.7395 13.2458
11 909500.976 31.44 2.2256 31109.23 76.9059 19.55
12 2631166.881 33.1613 1.5158 35614.12 82.9452 20.8135
13 882972.654 31.8736 0.1413 23038.43 65.2127 16.9796
14 1078573.124 33.4072 -1.04 34531.72 73.4944 32.992
15 844320.194 34.047 1.6836 30350.36 80.2201 22.3185
16 1849119.029 28.8879 2.3596 38964.94 87.5973 24.567
17 3860007.316 36.1056 0.784 49392.77 85.3041 30.879
18 826573.88 32.8083 0.1164 25595.69 65.5884 17.4545
19 604682.868 33.0538 1.1498 29622.61 80.6176 18.6356
20 1903611.6 33.4996 0.0606 31586.1 80.379 38.3249
21 2356808.391 32.6809 1.6338 39674.56 79.8526 23.778
22 2788571.957 28.5166 1.1256 28878.98 81.2371 16.93
23 634878.286 32.8945 1.4884 24287.08 70.2244 19.1429
24 2371627.369 30.5024 4.7937 46711.24 87.1046 30.8843
25 2627837.961 30.2922 1.8922 33449.81 80.2057 26.557
26 1868116.33 31.2911 1.8667 31694.45 75.2914 28.36
27 2236796.862 33.0498 1.7896 25459.22 77.6162 19.249
28 1318876.234 32.9348 0.2707 47047.34 85.1753 35.4994
29 1868097.836 31.8381 3.0129 26433.24 74.1792 18.6375
30 1695218.566 31.0794 23.463 33396.66 81.6991 41.113
31 2700194.415 32.1807 0.7041 26179.36 73.414 17.8566
32 1156049.774 31.6944 -0.1569 33454.64 73.7161 26.5426
33 643858.444 34.0263 0.7084 42271.5 78.6493 29.8734
34 2188687.363 34.7315 0.1353 46514.75 80.9503 24.5374
35 830351.94 30.5613 0.3848 27030.81 66.8057 14.139
36 1226905.572 33.5183 0.7417 42910.08 77.8905 20.834
37 566903.589 32.3952 0.6693 40561.4 79.3622 19.0309
38 826518.398 29.9108 0.1111 22325.96 58.361 10.6729
The data in the above worksheet "CustomerData" includes 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.
14. Assuming a linear relationship exists, formulate a simple linear regression model that estimates the relationship between monthly sales (Y) and median family income (X).
A) Y^ = 39.17 + 299876.81(X)
B) Y^= 299876.81 + 39.17(X)
C) Y^ = 785476.90 + 43.96(X)
D) Y^ = 14.07 + 278756.44(X)
15. Compute the coefficient of determination. Enter it, rounded to four decimal places in the blank. ___________
16. At the α = .05 level of significance, is there evidence of a statistically significant linear relationship between monthly sales and median family income?
A) No
B) Yes
C) It cannot be determined
17. Derive a 95% confidence interval estimate for predicting 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. Lower limit in the first blank; upper limit in the second blank. Do not use dollar signs, commas, or other punctuation in your responses.
18. With respect to the response variable, monthly sales, which predictor variable among those given in the worksheet CustomerData, provides the most explanatory power?
A) Age
B) Growth
C) Income
D) HS
E) College
NFL salaries and bonuses 2000 season
Salary 49ers Bears Bengals Bills Broncos Browns Buccaneers Cardinals
0-299999 25 23 21 22 18 31 14 19
300000-599999 34 21 16 30 26 24 25 26
600000-900000 5 8 1 6 2 9 4
>900000 1 12 11 1 8 5 7 11
Grand Total 60 61 56 54 58 62 55 60
Chargers Chiefs Colts Cowboys Dolphins Eagles Falcons Giants Jaquars Jets Lions
18 18 27 26 15 19 19 24 19 16 11
34 33 20 26 37 20 27 32 36 26 34
2 3 4 1 2 5 7 4 5 5
4 4 6 4 9 11 8 3 6 6
58 58 57 57 63 55 61 59 59 53 56
Packers Panthers Patriots Raiders Rams Ravens Redskins Saints Seahawks Steelers
24 22 25 14 16 13 17 16 27 19
22 34 27 34 25 36 36 33 21 26
5 2 2 2 2 4 3 1 4 3
7 3 3 5 10 5 4 10 5 10
58 61 57 55 53 58 60 60 57 58
Titans Vikings Grand Total
21 15 614
27 33 881
6 2 109
6 4 189
60 54 1793
Data regarding the salaries and bonuses received by the nearly 1800 players in the National Football League during the 2000 season are provided above. Using these data, perform an appropriate test of hypothesis, at the α = .05 level of significance, to determine whether compensation for players in the NFL is dependent on the team for which they play.
19. What is the value of the sample test statistic?
A) Χ2=113.15
B) Χ2=160.47
C) p = 0.0001
D) Χ2=224.78
20. What is your conclusion?
A) Salary and team membership are independent
B) Salary and team membership are dependent
C) Cannot determine
D) The Pittsburgh Steelers are the best franchise in the NFL