According to an​ almanac, 70​% of adult smokers started smoking before turning 18 years old. ​(a) if 200 adult smokers are randomly​ selected, how many would we expect to have started smoking before turning 18 years​ old? ​(b) would it be unusual to observe 160 smokers who started smoking before turning 18 years old in a random sample of 200 adult​ smokers? why?

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Solution: ​(a) if 200 adult smokers are randomly​ selected, how many would we expect to have started smoking before turning 18 years​ old?

Answer: It is expected that in a random sample of 200 adult smokers, [tex] 0.70 (200)=140 [/tex] will have started smoking before turning 18.

​(b) would it be unusual to observe 160 smokers who started smoking before turning 18 years old in a random sample of 200 adult​ smokers? why?

Answer: Yes, it would be unusual to observe 160 smokers who started smoking before turning 18 years old in a random sample of 200 adult​ smokers, because 160 is greater than μ + 2σ

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