# Math: Normal Distribution and Tco Essay

Submitted By kemeny
Words: 2127
Pages: 9

1. (TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected salary for an engineer with 45 years of experience. Round to the nearest \$100. (Points: 6) 97,100 88,300 56,700 92,800

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2. (TCO 5) An airline company found that 80% of their flights arrive to their destination on time. We are interested in selecting a sample of 5 flights and calculating the probability of all of them getting to their destination on time. Choose the best answer of the following: (Points: 6) This is an example of a Poisson probability experiment This is an example of a Binomial probability experiment This is neither a Poisson nor a Binomial probability experiment Not enough information to determine the type of experiment

3. (TCO 5) A test is composed of six multiple choice questions where each question has 4 choices. If the answer choices for each question are equally likely, find the probability of answering less than 2 questions correctly. (Points: 6) [pic]0.296631 [pic]0.177979 [pic]0.533936 [pic]0.169434

4. (TCO 5) It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 2 or 3 errors per page? (Points: 6) [pic]0.146525 [pic]0.195367 [pic]0.091578 [pic]0.341892

5. (TCO 2) The mode height of the players on a high school basketball team is 68 inches. What does this tell you about the typical height of a player on this team? (Points: 6) Half the players are taller than 68 inches while half are shorter The average height of the players on the team is 68 inches More players are 68 inches tall than any other height. The height of all the players is not very consistent because 68 is such a large number

6. (TCO 6) Using the standard normal distribution, find the probability that z is less than 1.49 (Points: 6) 0.0375 0.9625 0.9319 0.0384

7. (TCO 8) The mean age of school bus drivers in Denver is claimed to be 56.9 years. A hypothesis test is performed at a level of significance of 0.05 with a P-value of 0.03. Choose the best interpretation of the hypothesis test. (Points: 6) Reject the null hypothesis; there is enough evidence to reject the claim that the mean age of bus drivers in Denver is 56.9 years. Reject the null hypothesis; there is enough evidence to support the claim that the mean age of bus drivers in Denver is 56.9 years. Fail to reject the null hypothesis; there is not enough evidence to reject the claim that the mean age of bus drivers in Denver is 56.9 years. Fail to reject the null hypothesis; there is not enough evidence to support the claim that the mean age of bus drivers in Denver is 56.9 years.

8. (TCO 8) A poll of U.S. health professionals revealed 82% would choose the same career. In a hypothesis test conducted at a level of significance of 1%, a P-value of 0.096 was obtained. Choose the best interpretation of the hypothesis test. (Points: 6) Fail to reject the null hypothesis; there is not enough evidence to reject the claim that 82% of health professionals would choose the same career. Fail to reject the null hypothesis; there is not enough evidence to support the claim that 82% of health professionals would choose the same career. Reject the null hypothesis; there is enough evidence to reject the claim that 82% of health professionals would choose the same career. Reject the null hypothesis; there is enough evidence to support the claim that 82% of health professionals would choose the same career.

9. (TCO 2) You are going to take a statistics class