Asked Jan 11, 2020

Designing Experiment Clinical trials of Nasonex involved a group given placebos and another group given treatments of Nasonex. Assume that a preliminary phase I trial is to be conducted with 12 subjects, including 6 men and 6 women. If 6 of the 12 subjects are randomly selected for the treatment group, find the probability of getting 6 subjects of the same gender. Would there be a problem with having members of the treatment group all of the same gender? 


Expert Answer

Step 1

Combination Rule:

There are n different items and r number of selections and the selections are made without replacement, then the number of different combinations (order does not matter counts) is given by,

Statistics homework question answer, step 1, image 1
Step 2

In the selection, there are 12 subjects and 6 randomly selected subjects. That is, n=12 and r=6.

Substitute 12 for ‘n’ and 6 for ‘r’, then the number of different possible combinations are:

Statistics homework question answer, step 2, image 1
Step 3

The number of different possible combinations is 924.

Obtain the probabili...

Statistics homework question answer, step 3, image 1

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