• What is the conservative critical F statistic if your sample size is 50 and you are comparing 3 groups of participants (at the .05 level)?
• What is the critical F statistic value for the following F (4,70), use a .05 level of significance?
• If you have an MS between of 3.1 and MS within groups of 0.3, what would your calculated F statistic be?
• If you saw the result of ANOVA like this F(2,40) = 4.5, how many groups were in the study and how many participants were in the study?

Give an example of when you would use a one-way ANOVA. What is dependent and what is independent variable?

Question
(a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257.
Calculate the unbiased estimator of the population variance.
(1 mark)

(b) Suppose the GPA of all students enrolled in a particular course can be modelled by a
certain distribution with a mean of 3.4 and variance 0.3. Compute the probability that the
mean GPA of a random sample of 40 students selected from this course will be:

(i) lower than 3.2

(ii) between 3.3 and 3.6

(c) Suppose you throw a die 600 times. Apply a suitable technique to compute the
approximate probability of obtaining between 90 and 110 fours.

You have a two stock portfolio with $3,000 in stock A and $7,000 in stock B. You believe the following probability distribution exists for your stocks.

1. Calculate Expected rate of Return, Risk, and CV of Stock A

2. Calculate portfolio expected rate of return, portfolio risk , and portfolio CV. Note: expected rate of Return , risk, and CV of Stock B are 16,7, and 0.44 respectively .

Historical demand for a product is as follows:

April                60

May                 60

June                55

July                 75

August             80

September       75

(a.) Using a simple four-month moving average, calculate a forecast for October.

(b.) Using single exponential smoothing with alpha=0.3 and a September forecast =70, calculate a forecast for October.

(c.) Using simple linear regression, calculate the trend line (Yt) for the historical data. The X-axis scale is: April = 1, May = 2, and so forth. Y-axis is Demand from above.

Yt = a + bx =

(d.) Using the linear regression model above, what is a forecast for October?

The Red Hen company is launching its new food for sale in supermarkets throughout Michigan. The sales department is convinced that its spicy chicken soup will be a great success. The marketing department is considering an intensive advertising campaign. The advertising campaign will cost $2,000,000 and if successful produce $9,600,000 in added revenue. If the campaign is less successful (25% chance), the added revenue is estimated at only $3,600,000. If no advertising is used, the revenue is estimated at $7,000,000 with probability 0.7 if customers are receptive and $3,000,000 with probability 0.3 if they are not.

Question 1. Write an equation to calculate the expected value for each decision as a function of the probability that the major advertising campaign will be effective (p)?

In a town, 36% of the citizens contributed to the Republicans, 46% contributed to the Democrats, and 12% contributed to both. What percentage contributed to neither party?

A box contains 4 white, 3 red, and 3 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)

Suppose that 90% of drivers are "careful" and 10% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.3. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)

1. The stocks on ABC Company and XYZ Company have the following returns over the last four years.                                                                                   

a.   Calculate the average return on ABC.                                                               (1 mark)

b.   Calculate the average return on XYZ.                                                               (1 mark)

c.   Calculate the variance and standard deviation on the ABC returns.   (2.5 marks)

d.   Calculate the variance and standard deviation on the XYZ returns.   (2.5 marks)

e.   Using the coefficient of variation (standard deviation/average return) to compare the two stocks, which stock is preferable?                                                   

1. Consider the following information on three stocks in four possible future states of the economy:                                                                                                (6 marks total)

a.   Your portfolio is invested 50% in A, 20% in B, and 30% in C. What is the expected return of your portfolio?                                                            

b.   What is the variance of this portfolio?                                                          

c.   What is the standard deviation of this portfolio?                               (1 mark)

Two flash resistance drums operated at 101.3 kPa are connected continuously.
You want to separate the hexaneooctane mixture. (Make the effective number two digits.

(a) fed feed with a zhexane of 0.3, 900 lbmol/hr, making V/F one-third flash at this time
How much is the liquid and vapor composition (yhexane,1, xhexane,1) of the hexane leaving the drum?
(b) (a) where the vapor disillate obtained through the problem is to be re-separated using the flash resistance drum;
All. The hexane composition (yhexane,2) of the projector stream leaving the second flash drum is to be 0.6
Calculate V2, L2, xhexane,2.

Consider an economy at the steady state according to the Solow Growth Model with a per capita production function  where n=0.04, d=0.08, and s=0.3. Suppose a change in the age profile of the population leads to a reduction of the savings rate to s=0.28. As a result,