# 2010-08-27_050428_8-26-1 by liuqingyan

VIEWS: 21 PAGES: 15

• pg 1
```									The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of
Data not given

2. (TCO 5) A company produces window frames. Based on a statistical analysis, we found that 15% of their product is defective
Usually this would be considered a Binomial probability but the defectiveness of the 10 windows needs to be independent of ea

3. (TCO 5) A test is composed of six multiple choice questions where each question has 4 choices. If the answer choices for ea

 6                    6
 (0.25) 3 (0.75) 3   (0.25) 4 (0.75) 2  0.164795
 3                    4
                      

4. (TCO 5) It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probabi

 41 42 
e 4     0.219788
 1! 2! 
       

5. (TCO 2) The mean height of the players on a high school basketball team is 68 inches. What does this tell you about the typ
The average height of the players on the team is 68 inches

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
0.9319

7. (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
Reject the null hypothesis; there is enough evidence to support the claim that the mean age of bus drivers in Denver is less tha

8. (TCO 8) A poll of U.S. health professionals revealed 82% would choose the same career. In a hypothesis test conducted at a
The null hypothesis would be rejected, but a claim is not given.

9. (TCO 2) You are a landscape architect and must decide between two vendors for tulip bulbs. Vendor A’s bulbs have a mean
Vendor A because you will more likely get tulips that are close to the same height

10. (TCO 4) A travel agency offers 4 different vacation packages to Europe. Their net profit for package 1 is \$300, for package
E(Profit) = 300(0.3)+450(0.25)+600(0.2)+1000(0.25) =          572.5

11. (TCO 3) The ages of 24 employees in a company are listed below: Use the stem & leaf plot to determine the shape of the d
Stem and leaf plot not given.

12. (TCO 1) An economist is interested in studying the incomes of consumers in a particular region. The economist needs to kn
2
 1.96(5000) 
n              9604
    100     
13. (TCO 6) Scores on an assessment exam at a private school are normally distributed, with a mean of 74 and a standard dev
x  74                x  74
P ( X  x)  0.06  P( Z        )  1  P( Z         )
6                    6
x  74            x  74
P( Z         )  0.94          1.555
6                 6
x  6(1.555)  74  83.3 which is rounded up to 84
x  74                x  74
P ( X  x)  0.06  P( Z        )  1  P( Z         )
6                    6
x  74            x  74
P( Z         )  0.94          1.555
6                 6
x  6(1.555)  74  83.3 which is rounded up to 84

14. (TCO 5) A shipment of 30 computers contains four that are defective. How many ways can a small business buy five of the

 26 
   65780
5
 

15. (TCO 6) The time required to make 900 gallons of synthetic rubber at a plant in South America in a recent year was normal

17  15
P(T  17)  P( Z            )  P( Z  0.8)  0.2119
2.5

16. (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 o
Clearly not written by someone familiar with farming.
859+5.76(3275)+3.82(2980) =          31106.6

17. (TCO 9) Describe the correlation in this graph. (Points: 6) moderate positive strong negative moderate negative strong posi
Graph not given.
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 exp

that 15% of their product is defective. They have shipped 10 windows to one of their customers. The customer is worried about the probabil
dows needs to be independent of each other. Often independence is assumed but since this is not stated, and independence should not be

choices. If the answer choices for each question are equally likely, find the probability of answering 3 OR 4 questions correctly. (Points: 6) 0.

stakes per page. What is the probability of having 1 or 2 errors per page? (Points: 6) 0.073263 0.146525 0.219788 0.219788

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 sh

49 (Points: 6) 0.0375 0.9625 0.9319 0.0384

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 hypothesi
e of bus drivers in Denver is less than 56.9 years.

r. 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 hypo

bulbs. Vendor A’s bulbs have a mean height of 30 inches with a standard deviation of 1.26 inches. Vendor B’s bulbs also have a mean heigh

t 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 th

f plot to determine the shape of the distribution. Choose the best answer. (Points: 6) The data is symmetric The data is skewed to the right T

ar region. The economist needs to know how large a sample should be taken so that a 95% confidence interval for their mean income with a

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
can a small business buy five of these computers and receive no defective ones? (Points: 6) 26 130 65780 142506

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

a + 3.82b, where ‘a’ is the number of acres planted (in thousands), and ‘b’ is the number of acres harvested (in thousands). Predict the annu

gative moderate negative strong positive
y for an engineer with 45 years of experience. Round to the nearest \$100. (Points: 6) 87,600 88,100 55,400 90,500

stomer is worried about the probability of having defective frames. Choose the best answer of the following: (Points: 6) This is an example o
ed, and independence should not be assumed in a production environment, I would guess the correct answer is Not enough information.

R 4 questions correctly. (Points: 6) 0.131836 0.032959 0.004639 0.164795

0.219788 0.219788

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 an

e best interpretation of the hypothesis test. (Points: 6) Reject the null hypothesis; there is enough evidence to reject the claim that the mean a

ose the best interpretation of the hypothesis test. (Points: 6) Fail to reject the null hypothesis; there is not enough evidence to reject the claim

or B’s bulbs also have a mean height of 30 inches, but with a standard deviation of 2.55 inches. You want the bulbs that produce the most un

. From past experience they know that 30% of their customers purchase package 1, 25% of their customers purchase package 2, 20% of the

tric The data is skewed to the right The data is skewed to the left The data is bimodal

interval for their mean income with an error of \$100 can be constructed. If the population standard deviation is known to be \$5,000 what sam

holarship. What is the lowest whole number score you can earn and still be eligible for a scholarship? (Points: 6) 84 94 86 88
.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

sted (in thousands). Predict the annual rice yield (in pounds) when the number of acres planted is 3275 (in thousands) and the number of ac
wing: (Points: 6) This is an example of a Poisson probability experiment This is an example of a Binomial probability experiment This is neithe
swer is Not enough information.

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

ce 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 evidenc

enough evidence to reject the claim that 82% of health professionals would choose the same career. Fail to reject the null hypothesis; there

nt the bulbs that produce the most uniform growth, which vendor will you purchase from? (Points: 6) Vendor A because you will more likely g

mers purchase package 2, 20% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected

ation is known to be \$5,000 what sample size would the economist need to use? (Points: 6) Sample Size = 1000 Sample Size = 98 Sample S

Points: 6) 84 94 86 88
bber? (Points: 6) 0.800 0.7881 0.2119 0.1151

(in thousands) and the number of acres harvested is 2980 (in thousands). (Points: 6) 868.58 24122.9 31106.6 6255
probability experiment This is neither a Poisson nor a Binomial probability experiment Not enough information to determine the type of expe

ecause 68 is such a large number

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 th

ail to reject the null hypothesis; there is not enough evidence to support the claim that 82% of health professionals would choose the same c

ndor A because you will more likely get tulips that are close to the same height Vendor B because you will more likely get tulips that are close

chase package 4. Find the expected value or average profit per customer. (Points: 6) Expected profit per customer = \$587.50 Expected profi

e = 1000 Sample Size = 98 Sample Size = 9604 Sample Size = 6766
1106.6 6255
mation to determine the type of experiment

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 D

fessionals would choose the same career. Reject the null hypothesis; there is enough evidence to reject the claim that 82% of health profess

ill more likely get tulips that are close to the same height Either one because both produce bulbs whose tulips have the same average heigh

r customer = \$587.50 Expected profit per customer = \$975.00 Expected profit per customer = \$912.50 Expected profit per customer = \$572.
hat 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

t the claim that 82% of health professionals would choose the same career. Reject the null hypothesis; there is enough evidence to support t

tulips have the same average height Neither one because a mean height of 30 inches is too short for a tulip

Expected profit per customer = \$572.50
e is not enough evidence to support the claim that the mean age of bus drivers in Denver is less than 56.9 years.

here is enough evidence to support the claim that 82% of health professionals would choose the same career.

```
To top