Question

In: Statistics and Probability

Problem 5 A company is research a new drug for cancer treatment. The drug is designed...

Problem 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 your conclusion?

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 before than after the treatment

c. The mean tumor size in cancer patients is less (or equal) before than after the treatment

d. The mean tumor size in cancer patients is greater before than after the treatment

Solutions

Expert Solution

Let us denote the difference

d = Before treatment - After treatment

ans-> c) The mean tumor size in cancer patients is less (or equal) before than after the treatment


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