Instructions: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please provide complete solutions for full credit. Good luck!

1 (for all students in class). In a study of hypnotic suggestion, 5 male volunteers participated in a two-phase experimental session. In the first phase, respiration was measured while the subject was awake and at rest. In the second phase, the subject was told to imagine that he was performing muscular work, and respiration was measured again. Hypnosis was induced between the first and second phases; thus, the suggestion to imagine muscular work was “hypnotic suggestion” for these subjects. The accompanying table shows the measurements of total ventilation (liters of air per minute per square meter of body area) for all 5 subjects.

(1) Use suitable test to investigate whether there is any difference between the two experimental phases in terms of total ventilation. Please state the assumption(s) of the test and report the p-value. At the significance level of 0.05, what is your conclusion? (2) Please write up the entire SAS program necessary to answer questions raised in (a). Please include the data step as well as tests for testing for various assumptions.

Solution:
(1) Assume that the difference [pic]is normal.
[pic] and [pic]
The hypotheses are [pic] v.s [pic].
The test statistic is
[pic]
Since [pic] and [pic], we...

...STAT220
Spring 2012
PracticeMidterm
1. Let A and B be events such that P(A) = 0.25 and P(B) = 0.16. Find P(A|B) if
(a) P(A B) = 0.06
(b) P(B|A) = 0.4
(c) P(AB) = 0.33
(d) A and B are independent
(e) A and B are mutually exclusive
2. Among employees of a certain firm, 70% know C/C++, 60% know Java, and 90% know at least one of the two
languages.
(a) What is the probability that a selected programmer knows both languages?
(b) What is the probability that a selected programmer knows C/C++ but not Java?
(c) What is the probability that a selected programmer knows only one of the two languages?
(d) If a programmer knows Java, what is the probability that he/she knows C/C++?
(e) If a programmer knows C/C++, what is the probability that he/she knows Java?
(f) Are the events “know Java” and “know C/C++” independent? Are then mutually exclusive? Explain.
3. A maintenance firm has gathered the following information regarding the failure mechanisms for air
conditioning systems
Evidence of gas leaks
Evidence of electrical
failure
Yes
No
Yes
55
17
No
32
3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a
representative sample of AC failure, find the probability
(a) That failure involves a gas leak
(b) That there is evidence of electrical failure given that there was a gas leak
(c) That there is evidence of a gas leak given that there is evidence of electrical failure
4. The following circuit...

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MAT 540 MIDTERMEXAM
1. Deterministic techniques assume that no uncertainty exists in model parameters.
2. A continuous random variable may assume only integer values within a given interval.
3. A joint probability is the probability that two or more events that are mutually exclusive can occur simultaneously.
4. A decision tree is a diagram consisting of circles decision nodes, square probability nodes, and branches.
5. A table of random numbers must be normally distributed and efficiently generated.
6. Starting conditions have no impact on the validity of a simulation model.
7. The Delphi develops a consensus forecast about what will occur in the future.
8. Qualitative methods are the least common type of forecasting method for the long-term strategic planning process.
9. Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. What time is exceeded by approximately 75% of the college students when trying to find a parking spot in the main parking lot?
10. __________ is a measure of dispersion of random variable values about the expected value.
11. The __________ is the maximum amount a decision maker would pay for additional information.
12. Developing the cumulative probability distribution helps to determine
13. Consider the...

...remaining 55 points are alotted to the essay question.
The last question of this exam is on page 12.
Regarding the multiple choice questions: Use the scrap form. Please mark the box associated with the answer you deem to be correct. Do not forget to write your name on the scrap form and mark the right student number boxes. Regarding the open questions: Explain every single step in your reasoning. Answers without explanation never yield any points.
Good luck!
Multiple Choice Questions 1. Sixty percent of the pupils of some very large secondary school own a mobile phone. A group of 8 randomly chosen pupils of this school is asked whether they own a mobile phone. What is the probability that exactly 5 of them own a mobile phone? a. That probability is approximately 0.005. b. That probability is approximately 0.124. c. That probability is approximately 0.279. d. That probability is approximately 0.625. 2. The operation manager of a company that manufactures shirts wants to determine whether there are diﬀerences in the quality of workmanship among the three daily shifts. She randomly selects 600 recently made shirts and carefully inspects them. Each shirt is classiﬁed as either perfect or as ﬂawed and the shift that produced the shirt is also recorded. In the test on the relation between quality and shift that the manager can now perform, what is the number of degrees of freedom of the test statistic? a. The number of degrees of freedom...

...11.
Using the expenditure approach, which of the following would be included in U.S. GDP? a. The value of the groceries you buy at the store. b. The value of an automobile purchased by Hertz to be rented out later to customers. c. The value of steel that was produced but not sold during the year. d. All of the above. e. None of the above.
12.
Which of the following would be considered "government purchases" when measuring GDP? a. The salary of a city police officer. b. U.S. government social security payments to retired workers. c. The groceries that a U.S. postal worker buys at the store. d. All of the above. e. None of the above.
13.
Suppose that, in a given year, consumption spending is $5 trillion, exports are $3.2 trillion, imports are $4 trillion, government transfer payments to households are $2 trillion, business spending on plant and equipment is $1 trillion, new housing construction is $0.5 trillion, government purchases of goods and services are $3 trillion, taxes are $3.5 trillion, and inventories of unsold goods during the year decline from $4 trillion to $3.3 trillion. Then using the expenditure approach, GDP during the year is a. $6 trillion. b. $8 trillion. c. $10 trillion. d. $11.2 trillion. e. $12 trillion
14.
Suppose that, in a given year, a country's GDP using the expenditure approach is $5 trillion. Then, during that year, the total income earned by the owners of the country's resources (or factors of production) will be a. $5...

...of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean
107.15
Std Dev
5.1536687
Std Err Mean
0.3644194
Upper 95% Mean
107.86862
Lower 95% Mean
106.43138
N
200
Sum
21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From...

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ECO 550 MidtermExam
1. Economies of Scope refers to situations where per unit costs are
2. For a short-run cost function which of the following statements is (are) not true?
3. According to the theory of cost, specialization in the use of variable resources in the short-run results initially in:
4. Economies of scale exist whenever long-run average costs:
5. The existence of diseconomies of scale (size) for the firm is hypothesized to result from:
6. If TC = 321 + 55Q - 5Q2, then average total cost at Q = 10 is:
7. Using demand and supply curves for the Japanese yen based on the $/¥ price for yen, an increase in US INFLATION RATES would
8. An appreciation of the U.S. dollar has what impact on Harley-Davidson (HD), a U.S. manufacturer of motorcycles?
9. In a recession, the trade balance often improves because
10. The purchasing power parity hypothesis implies that an increase in inflation in one country relative to another will over a long period of time
11. Companies that reduce their margins on export products in the face of appreciation of their home currency may be motivated by a desire to
12. The import of Apple iPads assembled in Shanghai at a $295 wholesale price ($213 cost and $82 profit margin) adds more than it should to the U.S. trade deficit with China because
13. Trading partners should specialize in producing goods in accordance with comparative advantage, then trade and...

...Statistics 503, Fall 2009, PracticeMidterm 2
Time: 1 hour
Name (please print):
.
Show all your work and calculations. Partial credit will be given for work that is partially correct. Points
will be deducted for false statements shown in the solution to a problem, even if the final answer is
correct. Numbers in the right-hand margin indicate the number of points for each question. If extra
space is needed, use the back of a page and indicate this clearly on the question page.
This exam is closed-book. You may not consult any notes or books during this exam. One formula page,
and tables are provided separately. Calculators are permitted.
Please sign below to indicate your agreement with the following honour code.
Honour code: I promise not to cheat on this exam. I will neither give nor receive any unauthorized
assistance. I promise not to share information about this exam with anyone who may be taking it at a
different time. I have not been told anything about the exam by someone who has already taken it.
Signature:
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Date:
.
1. In a study of anemia in cattle, researchers measured concentration of selenium in blood of 36 cows
that had been given a dietary supplement of selenium. The cows were of the same breed (Santa
Gertrudis) and had borne their first calf during the year. The mean selenium concentration was 6.21
µ g/mLi...

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MGMT 520 MIDTERMEXAM
TCO B. Infuriated when Harry Reid is re-elected during the 2010 fall election, the Republicans in Congress decide to take matters into their own hands. In 2011, the House of Representatives passes a new "Freedom isn't Free Act" that requires that anyone who wants to vote in the 2012 presidential election must prove that they paid at least $200 in federal income tax in the past year, including people aged 18 (who typically are deducted on their parents' returns and do not pay income tax). Anyone who received the "earned income credit" is barred from voting unless they return the payment from the government. Proof of payment of the tax can be made by showing a copy of the prior year's W2, a copy of the prior year's tax return, or a signed statement from the IRS stating that the payment of more than $200 in federal income tax has been made. Citizens who do not pay taxes can still vote if they donate $200.00 to the federal government as voluntary income tax and get a statement from the IRS that they have done so. The law sunsets on December 31, 2012. List two bases under which someone impacted by this law could argue to have the law overturned.
TCO F. When Vanna White sued Samsung for appropriation and under the Lanham Act, she won her case under the California common law right of publicity claim and under the Lanham Act. List the eight Sleekcraft factors that are required to prove a Lanham Act complaint....