Stat 300 Exam 2 on Ch. 5-8 Please show neat, organized work in pencil unless the

Question

Stat 300 Exam 2 on Ch. 5-8 Please show neat, organized work in pencil unless the question is multiple choice. On non-multiple choice questions you will be graded on the quality ofyour work as answers.. Each problem is worth 10 points. well as on the accuracy of your 1) The table lists the drinking habits of a group of college students. If a student is chosen at random, find the Round your answer to three decimal probability of getting someone who is a woman or a heavy drinker. places. Sex Non-drinker Regular Drinker Heavy Drinker Total 21 91 Man 13570 210 218 Woman187 Total 10 322 15 428 2) Determine the two z-scores that separate the middle 90% of the distribution from the area in the tails of the standard normal distribution.

Explanation / Answer

1) P(woman or heavy drinker) = P(woman) + P(heavy drinker) - P(woman and heavy drinker)

= 218/428 + 15/428 - 10/428

= 223/428

= 0.521

2) P(-z < Z < z) = 0.9

Or, 2 * P(Z < z) - 1 = 0.9

Or, P(Z < z) = 0.95

Or, z = 1.65

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