Practice Final Exam Solns AU10

# Find a range of likely values for it using what we

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You want to estimate the average sales for the entire company this year. Find a range of likely values for it using what we learned in class. 2

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million n Z X ) 18 . 113 \$ , 82 . 101 (\$ 68 . 5 5 . 107 50 5 . 20 96 . 1 5 . 107 * ± ± ± σ b. The average sales for the entire company this year was reported to be \$110 million. Based on your data do you believe this report? Explain your answer in 10 words or less. (Longer answers lose ½ the points automatically.) YES NO \$110 million is inside the confidence interval. 24. Suppose test scores on an accounting exam have a normal distribution with mean 70 and standard deviation 10. a. You select one student at random. What is the chance that his/her score is more than 73? 3 . 0 10 70 73 = - = - = σ μ X Z P(X>73) = P(Z>0.3) = 1 - 0.6179 = 0.3821 ANS___0.3821 _______ b. You select 49 students at random. What is the chance that their average score is more than 73? 1 . 2 49 10 70 73 = - = - = n X Z σ μ P( X >73) = P(Z>2.1) = 1 – 0.9821= 0.0179 ANS____0.0719 ________ 3
25. The number of miles per gallon for a 2009 Corvette has a normal distribution with mean 15 mpg and standard deviation 0.5 mpg. What is the probability that a randomly chosen corvette gets exactly 15 miles per gallon? ANS____P(X=15) = 0 __ 26. Suppose 30% of OSU students are in favor of having casinos in Ohio. Two OSU students are selected at random; let X equal the number of students in the sample who are in favor of casinos in Ohio. Write down the

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