Consider the infinitely repeated game with discount factor E[0,1] of the following variant of the Prisoner's Dilemma game:

A) For which values of the discount factor E[0,1] can the players support the pair of actions (M, C) played in every period?

B) For which values of the discount factor E[0,1] can the players support the pair of actions (T,L) played in every period? Why is your answer different in part A) above?

You are gearing up to open a new wine shop. In an effort to optimize wine sales, you collect data by observing your competition and noting what people are ordering during happy hour. Below is data collected during a 2 week period.

Explain why we need to do a one-way ANOVA test with this data. Perform a one-way ANOVA test at a 5% level of significance with F*= 4.08 Explain the decision we make and Build 95% confidence interval for each type of wine. Explain what this means.

Question 1
(a) What is the objective of sampling? [2]
(b) What is the difference between a poll and a survey? [4]

(c) What is the difference between probability sampling and non-probability sampling? Give exam-
ples of both. [8]

(d) What are the sources of errors in surveys? Explain in detail giving examples. How can the
errors be reduced? [12]
(e) List all possible simple random samples of size n = 2 that can be selected from the population
{0, 1, 2, 3, 4}, and calculate s^2

for the any two samples and show that s^2=(N/N−1)σ^2




. Also calculate

σ^2 for the population and V ar( ̄y) for the two samples.

What is the minimum number of bits needed to encode the days of the
month in a Canadian calendar.

The following stem-and-leaf plot represents the prices in dollars of general admission tickets for the last 26 concerts at one venue. Use the data provided to find the quartiles.

Key: 3|0=30

Find the first, second and third quartile,

A. Use truth tables to verify these equivalences

1. p∨p ≡ p

2. p∧p ≡ p

3. p∨(p∧q) ≡ p

4. p∨q ≡¬p → q

5. p∧q ≡¬(p →¬q)

6. p ↔ q ≡ (p → q)∧(q → p)

B. Determine the truth value of each of these statements. (Assume the domain of variables consist of all real numbers).

1. ∃x(x2 = 2)

2. ∃x(x + 2 = x)

3. ∀x(x2 + 2 > 0)

4. ∀x(x2 = x)

The following CPM network has estimates of the normal time in weeks listed for the activities:

1. Please identify the critical path.
2. What is the length of time to complete the project?
3. Which activities have slack, and how much?
4. Based on the table of normal and crash times and costs, which activities would you shorten to cut two weeks off the expected completion time? Does this change the critical path—if so, what is(are) the new path(s).

USE AN EXCEL FILE

Use the given data to complete parts​ (a) and​ (b) below.

x y 2.1 4 3.8 1.4 3 3.6 4.8 4.9 ​(a) Draw a scatter diagram of the data.

Choose the correct answer below.

A. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (1.4, 3.8); (3.6, 3); (4, 2.2); (5, 4.8). From left to right, the points have no visibly apparent upward or downward trend.

B. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (2.2, 4); (3, 3.6); (3.8, 1.4); (4.8, 5). From left to right, the points have no visibly apparent upward or downward trend.

C. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (2.2, 5); (3, 1.4); (3.8, 3.6); (4.8, 4). From left to right, the points have no visibly apparent upward or downward trend.

D. 0 2 4 6 0 2 4 6 x y A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following 4 approximate points are plotted, listed here from left to right: (1.4, 3); (3.6, 3.8); (4, 4.8); (5, 2.1). From left to right, the points have no visibly apparent upward or downward trend.

Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is nothing. ​(Round to three decimal places as​ needed.)

​(b) Draw a scatter diagram of the data with the additional data point left parenthesis 10.3 comma 9.4 right parenthesis.

Choose the correct answer below.

A. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 4 approximate points are plotted, listed here from left to right: (2.2, 4); (3, 3.6); (3.8, 1.4); (4.8, 5). One additional point is plotted significantly above and to the right of the rest, approximately at (10.4, 9.4).

B. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 4 approximate points are plotted, listed here from left to right: (1.4, 3.8); (3.6, 3); (4, 2.2); (5, 4.8). One additional point is plotted significantly above and to the right of the rest, approximately at (9.4, 10.4).

C. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 4 approximate points are plotted, listed here from left to right: (1.4, 4.8); (3.6, 3); (5, 3.8); (9.4, 2.1). One additional point is plotted significantly above the rest, approximately at (4, 10.3).

D. 0 4 8 12 0 4 8 12 x y A scatter diagram has a horizontal x-axis labeled from 0 to 12 in increments of 2 and a vertical y-axis labeled from 0 to 12 in increments of 2. The following 4 approximate points are plotted, listed here from left to right: (3, 3.6); (3.8, 5); (4.8, 1.4); (10.4, 4). One additional point is plotted significantly above and to the left of the rest, approximately at (2.2, 9.4).

Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is nothing. ​(Round to three decimal places as​ needed.) Comment on the effect the additional data point has on the linear correlation coefficient.

A. The additional data point strengthens the appearance of a linear association between the data points.

B. The additional data point does not affect the linear correlation coefficient.

C. The additional data point weakens the appearance of a linear association between the data points.

Explain why correlations should always be reported with scatter diagrams.

A. The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.

B. The scatter diagram is needed to determine if the correlation is positive or negative.

C. The scatter diagram can be used to distinguish between association and causation.

Click to select your answer(s).

1) All of the following are “red flags” when analyzing the quality of a company’s earnings except for:

2) What of the following data are important when analyzing a company?

(1) Income statement

(2) Balance sheet

(3) Statement of cash flows

(4) Footnotes to the financial statements

3) The ABC Corporation achieved annual net profit margins of 3.5% in 2005, 3.75% in 2006, and 4.2% in 2007. Which of the following statements is incorrect?