Test 2 Question 7

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Test 2 Question 7

Question

Test 2

7. According to an​ almanac, 80​% of adult smokers started smoking before turning 18 years old.

​(a) Compute the mean and standard deviation of the random variable​ X, the number of smokers who started before 18 in 100 trials of the probability experiment.

​(b) Interpret the mean.

​(c) Would it be unusual to observe 85 smokers who started smoking before turning 18 years old in a random sample of 100 adult​ smokers? Why?

 

(a)

80

(b) What is the correct interpretation of the​ mean?

  1. It is expected that in​ 50% of random samples of 100 adult​ smokers, 80 will have started smoking before turning 18.
  2. It is expected that in a random sample of 100 adult​ smokers, 80 will have started smoking before turning 18.
  3. It is expected that in a random sample of 100 adult​ smokers, 80 will have started smoking after turning 18.

 

(c) Would it be unusual to observe 85 smokers who started smoking before turning 18 years old in a random sample of 100 adult​ smokers?

  1. Yes​, because 85 is between ì−2ó and ì+2ó.
  2. Yes​, because 85 is greater than ì+2ó.
  3. ​No, because 85 is less than ì−2ó.
  4. No​, because 85 is between ì−2ó and ì+2ó.
  5. ​Yes, because 85 is between ì−2ó and ì+2ó.

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Test 2