1. (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
2. (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 more than 4 questions correctly. (Points: 6)
0.004639
0.004395
0.000244
0.995361
3. (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)
0.146525
0.195367
0.091578
0.341892
4. (TCO 2) The mean 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
5. (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
6. (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.
7. (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 5%, a P-value of 0.023 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.
8. (TCO 2) You are going to take a statistics class next session. You have two professors to choose from. Both professors have a mean performance evaluation score of 3.56 out of 4. Professor A has a standard deviation of .86 while Professor B has a standard deviation of .51. You want to choose the better professor because math is a challenge for you, who do you choose? (Points: 6)
Professor A because he got more consistent scores on his evaluation
Professor B because he got more consistent scores on his evaluation
Either professor because their average scores were the same
Neither professor because the given information is not enough to make a decision
9 (TCO 4) A travel agency offers 4 different vacation packages to Europe. Their net profit for package 1 is $300, for package 2 it is $450, for package 3 it is $600, and for package 4 it is $1,000. From past experience they know that 30% of their customers purchase package 1, 25% of their customers purchase package 2, 20% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected value or average profit per customer.
(Points: 6)
Expected profit per customer = $587.50
Expected profit per customer = $975.00
Expected profit per customer = $912.50
Expected profit per customer = $572.50
10. (TCO 1) A statistician is considering using a 99% confidence interval for a study instead of a 95% confidence interval. What happens to the required sample size if the confidence level is increased from 95% to 99% and the same error is required in each case? (Points: 6)
The sample size remains unchanged
The sample size needs to increase
The sample size needs to decrease
Not enough information is provided to draw a conclusion regarding the sample size in this case.
11. (TCO 6) Scores on an assessment exam at a private school are normally distributed, with a mean of 72 and a standard deviation of 8. Any student who scores in the top 5% is eligible for a scholarship. What is the lowest whole number score you can earn and still be eligible for a scholarship? (Points: 6)
85
92
86
95
12. (TCO 5) A shipment of 30 computers contains four that are defective. How many ways can a small business buy five of these computers and receive no defective ones? (Points: 6)
26
130
65780
142506
13. (TCO 6) The time required to make 900 gallons of synthetic rubber at a plant in South America in a recent year was normally distributed with a mean of 15 hours and a standard deviation of 2.5 hours. What is the probability that it will take more than 17 hours to make 900 gallons of synthetic rubber? (Points: 6)
0.800
0.7881
0.2119
0.1151
14. (TCO 10) The annual rice yield (in pounds), is given by the equation y-hat = 859 + 5.76a + 3.82b, where ‘a’ is the number of acres planted (in thousands), and ‘b’ is the number of acres harvested (in thousands). Predict the annual rice yield (in pounds) when the number of acres planted is 3560 (in thousands) and the number of acres harvested is 3145 (in thousands). (Points: 6)
33378.5
24122.9
31106.6
6705
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15. (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)
First Column – 2, 5, 9, 14, 19, 24, 28, 32, 38
Second Column-51.4, 56.3, 61, 63, 66, 69.5, 73, 76, 84
87,600
88,300
56,700
92,800
16. (TCO 5) A company produces window frames. Based on a statistical analysis, we found that 15% of their product is defective. They have shipped 10 windows to one of their customers. The customer is worried about the probability of having defective frames. 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
17. (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 3 OR 4 questions correctly. (Points: 6)
0.131836
0.032959
0.004639
0.164795
18. (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 1 or 2 errors per page? (Points: 6)
0.073263
0.146525
0.219788
0.439576
19 (TCO 8) The mean age of school bus drivers in Denver is claimed to be less than 56.9 years. A hypothesis test is performed at a level of significance of 0.05 with a P-value of 0.12. 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 less than 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 less than 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 less than 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 less than 56.9 years.
20. (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.
21. (TCO 2) You are a business administrator charged with choosing a vendor to supply new software to your company. Both vendors have a mean cost of $8,500 to create the software. Vendor A has a standard deviation of $230 while Vendor B has a standard deviation of $300. You want to choose the vendor that will be most likely to minimize expenses, which do you choose? (Points: 6)
Vendor A because you are more likely to get a cost close to the mean cost
Vendor B because you are more likely to get a cost close to the mean cost
Either because their mean costs are the same
Neither because the given information is not enough to make a decision
22. (TCO 4) A local charity sells 100 raffle tickets for $20 each as part of a fund raiser. There is one Grand Prize of $500, one First Prize of $100, and 8 Second Prizes of $50. Find the expected winnings per ticket sold.
(Points: 6)
Expected winnings per ticket = $100.00
Expected winnings per ticket = $90.00
Expected winnings per ticket = $80.00
Expected winnings per ticket = $10.00
23. (TCO 3) The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random will have an age greater than or equal to 30 and less than or equal to 39?
Stem and leaf plot:
2: 0 2 6 7 9
3: 0 3 4 5 6 8 8 9 9
4: 2 4 5 6 7
5: 2 3 4 7
6: 1 3
(Points: 6)
0.89
0.32
0.36
-0.75
24. (TCO 1) An economist is interested in studying the incomes of consumers in a particular region. The economist needs to know how large a sample should be taken so that a 90% confidence interval for their mean income with an error of $500 can be constructed. If the population standard deviation is known to be $8,000 what sample size would the economist need to use? (Points: 6)
Sample Size = 693
Sample Size = 984
Sample Size = 112
Sample Size = 576
25. (TCO 6) Scores on an assessment exam at a private school are normally distributed, with a mean of 74 and a standard deviation of 6. Any student who scores in the top 6% is eligible for a scholarship. What is the lowest whole number score you can earn and still be eligible for a scholarship? (Points: 6)
84
94
86
88
26. (TCO 5) A shipment of 35 computers contains three that are defective. How many ways can a small business buy four of these computers and receive no defective ones? (Points: 6)
128
35960
52360
6545
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