An Ad for Cold-Ex claims an 80% end-of treatment clinical success rate for the treatment of...
An Ad for Cold-Ex claims an 80% end-of treatment clinical success rate for the treatment of the flu. Twelve patients are given Cold-Ex and then later checked to see if the treatment was successful. Let's assume the claim is correct:
a) What is the expected number of patients who are successfully treated?
b) What is the standard deviation?
Homework Answers
a) What is the expected number of patients who are successfully treated?
We are given
n = 12
p = 0.80
Expected number of patients = n*p = 12*0.8 = 9.6
Expected number of patients = 9.6
b) What is the standard deviation?
Standard deviation = sqrt(npq)
Where, q = 1 – p = 1 – 0.80 = 0.20
We have n = 12, p = 0.80, q = 0.20
Standard deviation = sqrt(12*0.80*0.20)
Standard deviation = 1.385641
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