College smokers: At a university, 15% of students smoke. a) Calculate the expect

Question

College smokers: At a university, 15% of students smoke. a) Calculate the expected number of smokers in a random sample of 150 students from this university (please do not round your answer): b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8: 55 am there are 22 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 22 students? No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent Yes, it is reasonable to believe that people who go to the gym when it first opens on Saturday mornings is a representative sample

Explanation / Answer

(a) Expected numbers of smokers in a random sample of 150 stuudents = 150 * 0.15 = 22.5

(b) No, those people who are standing outside the gym waiting for it to open are not an example of random sampling. People who smokes and who goes gyms are not independent in nature and so that sample can't be said an representative sample.

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