Here's a new idea for treating advanced melanoma, the most serious kind of skin cancer: genetically engineer white blood cells to better recognize and destroy cancer cells, then infuse these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatments One outcome of this experiment is measured by a test for the presence of cells that trigger an immune response in the body and so may help fight cancer. Here are data for the 11 subjects: counts of active cells per 100,000 cells before and after infusion of the modified cells. The difference (after minus before) is the response variable. Before 17 1 4 4 22 4 1 After 41 11 2 218 22 700 17 532 37 96 108 Difference 24 10 217 18 699 13 510 33 89 107 (a) Explain why this is a matched pairs design. There were an even number of subjects. All of the subjects were related. O Half of the subjects took a placebo. O Each subject was measured before and after treatment. The subjects were paired off with each other. (b) Examine the data. The stemplot of differences shows a sharp right skew, and one or two high outliers. Is it reasonable to use the t procedures? O Yes, the t procedure should be used. No, the t procedure should not be used. (c) Regardless of your conclusion in part (b), using the t procedures, do the data give convincing evidence that the count of active cells is higher after treatment? PLAN: Take µ to be the mean difference (after minus before) in active cells per 100,000 cells. State the null and alternative hypotheses. о Но: и %3D 0 Hа: и > 0 о Но: и 3 0 На: и <0 О Но: и %3D 0 На: и + 0 HoiH # 0 Hạ: µ > 0 SOLVE: Calculate the test statistic. (Round your answer to three decimal places.)
Here's a new idea for treating advanced melanoma, the most serious kind of skin cancer: genetically engineer white blood cells to better recognize and destroy cancer cells, then infuse these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatments One outcome of this experiment is measured by a test for the presence of cells that trigger an immune response in the body and so may help fight cancer. Here are data for the 11 subjects: counts of active cells per 100,000 cells before and after infusion of the modified cells. The difference (after minus before) is the response variable. Before 17 1 4 4 22 4 1 After 41 11 2 218 22 700 17 532 37 96 108 Difference 24 10 217 18 699 13 510 33 89 107 (a) Explain why this is a matched pairs design. There were an even number of subjects. All of the subjects were related. O Half of the subjects took a placebo. O Each subject was measured before and after treatment. The subjects were paired off with each other. (b) Examine the data. The stemplot of differences shows a sharp right skew, and one or two high outliers. Is it reasonable to use the t procedures? O Yes, the t procedure should be used. No, the t procedure should not be used. (c) Regardless of your conclusion in part (b), using the t procedures, do the data give convincing evidence that the count of active cells is higher after treatment? PLAN: Take µ to be the mean difference (after minus before) in active cells per 100,000 cells. State the null and alternative hypotheses. о Но: и %3D 0 Hа: и > 0 о Но: и 3 0 На: и <0 О Но: и %3D 0 На: и + 0 HoiH # 0 Hạ: µ > 0 SOLVE: Calculate the test statistic. (Round your answer to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Here's a new idea for treating advanced melanoma, the most serious kind of skin cancer: genetically engineer white blood cells to better recognize and destroy
cancer cells, then infuse these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatments
One outcome of this experiment is measured by a test for the presence of cells that trigger an immune response in the body and so may help fight cancer. Here
are data for the 11 subjects: counts of active cells per 100,000 cells before and after infusion of the modified cells. The difference (after minus before) is the
response variable.
Before
17
1
4
4
22
4
1
After
41
11
2
218
22
700
17
532
37
96
108
Difference
24
10
217
18
699
13
510
33
89
107
(a) Explain why this is a matched pairs design.
There were an even number of subjects.
All of the subjects were related.
O Half of the subjects took a placebo.
O Each subject was measured before and after treatment.
The subjects were paired off with each other.
(b) Examine the data. The stemplot of differences shows a sharp right skew, and one or two high outliers. Is it reasonable to use the t procedures?
O Yes, the t procedure should be used.
No, the t procedure should not be used.
(c) Regardless of your conclusion in part (b), using the t procedures, do the data give convincing evidence that the count of active cells is higher after
treatment?
PLAN: Take µ to be the mean difference (after minus before) in active cells per 100,000 cells. State the null and alternative hypotheses.
о Но: и %3D 0
Hа: и > 0
о Но: и 3 0
На: и <0
О Но: и %3D 0
На: и + 0
HoiH # 0
Hạ: µ > 0
SOLVE: Calculate the test statistic. (Round your answer to three decimal places.)
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