More QUIZ REVIEW 1. A university wants to open application envelops to find TWO applicants with SAT scores over 1800. If scores have an average of 1500.

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More QUIZ REVIEW 1. A university wants to open application envelops to find TWO applicants with SAT scores over 1800. If scores have an average of 1500 with σ = 180, how many envelopes will they have to open on average. Simulate with 1 trials. The population average score is 1500 (σ = 180). Assume Normality (Round to the nearest whole number percent. ) Calculator - Seed 5->rand, and use randInt(0, 99) First : Find P(X > 1800) Normalcdf(1.66667, E99) = .047 = 0.05 or 5% Second: Assign: Double digits: 00 – 04 = score over 1800. 05 – 99 = score under 1800.

More QUIZ REVIEW 2. Seven men and 3 women are being interviewed. If one is selected at random what is the probability it will be a women? Simulate using 20 runs (trials) using single digits and LINE 27. What is the Response Variable.? Single digits: 0 – 6 = man 7 – 9 = woman Line 27: 31087 42430 60322 34765 15757 53300 97392 3/20 = .15 Response variable = If the selected person is a Women or NOT.

WARM – UP – QUIZ REVIEW The population average mpg for SUV’s is 17.297 mpg (σ = 3.5mpg). (Assume Normality) 1. What is the probability that you will buy a random SUV that has more than 20 mpg? First : Find P(X > 20) Normalcdf(0.7723, E99) = 0.22 or 22%

3 out of 10 = 30% P(X > 20mpg) = 0.22 or 22% 2. Estimate the probability that after selecting 5 SUVs at least 2 of them get better than 20mpg. Use the same assignment from above but this time use the Calculator. (Seed 4->rand, and use randInt(0, 99,5) ) What constitutes a trial? Perform 10 trials. P(X > 20mpg) = 0.22 or 22% Double digits: 00 – 21 = SUV gets better than 20 mpg. 22 – 99 = SUV NOT better than 20 mpg. 3 out of 10 = 30%

First : Find P(X > 20) Second: Assign: The population average mpg for SUV’s is 17.297 mpg (σ = 3.5mpg). 1. How many SUVs would you need to examine in order to find 4 with mpg greater than 20? Find this answer by finding the probability, Assigning digits, and Conducting a simulation by generating random digits using LINE 15 with one run. What is the Response variable? First : Find P(X > 20) Normalcdf(0.7723, E99) = 0.22 or 22% Second: Assign: Double digits: 00 – 21 = SUV gets better than 20 mpg. 22 – 99 = SUV NOT better than 20 mpg. Go to the Table of Random Digits line 15 Line 15: 76488 88899 15860 07370 13431 84041 69202 18912 It took 13 pair of double digits to reach 4 SUV’s with mpg > 20 The Response Variable is recording whether or not the SUV get 20 mpg.