Question
In: Statistics and Probability
roblem 5 A company is research a new drug for cancer treatment. The drug is designed...
roblem 5
A company is research a new drug for cancer treatment. The drug is designed to reduce the size of a tumor. You are asked to test its effectiveness. You proceed to take samples from patients that are trying the drug. For each patient you take two measurements of its tumor, before and after the treatment. You want to see if the tumor's size has decreased. Assume the population distribution is normal and α = 0.05. The results of the samples (in millimeters, before and after treatment) are as follows:
| Patient | Before | After |
| 1 | 158 | 284 |
| 2 | 189 | 214 |
| 3 | 202 | 101 |
| 4 | 353 | 227 |
| 5 | 416 | 290 |
| 6 | 426 | 176 |
| 7 | 441 | 290 |
What is the null hypothesis?
Select one:
a. The mean tumor size in cancer patients is greater (or equal) before than after the treatment
b. The mean tumor size in cancer patients is less (or equal) before than after the treatment
c. The mean tumor size in cancer patients is less before than after the treatment
d. The mean tumor size in cancer patients is greater before than after the treatment
Solutions
Expert Solution
Null hypothesis,
b. The mean tumor size in cancer patients is less (or equal) before than after the treatment
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