The following results are from an independent-measures, two factor study. Be careful that this is a 2x3 design. You are expected to extend your knowledge on 2x2 design to a 2x3 factorial design.

The study:

Consider an experiment designed to investigate the effectiveness of therapy for the treatment of anxiety or fear. Two kinds of therapy (systematic desensitization, counter conditioning) as well as a counseling-only control condition are included. The therapy and counseling programs have been conducted over a number of sessions and the investigator asks whether more sessions might bring further improvements. The goal then is to compare two treatment lengths: the original and an extended version. For convenience, these two lengths are referred to as “Short” and “Long.” Participants’ well-being scores are measured; the larger the score, the more beneficial the treatment. Data are given in the table below. Answer the following questions using this data.

1. What are the dependent and independent variables in this study?
2. How many levels does each independent variable have and what are they?
3. State the hypotheses for each test.
4. Use a two-factor ANOVA with a=.05 to evaluate the main effects and interaction. For your answer, create a summary table and fill in the values. Do not show calculations here.
5. Based on what you found in ‘d’, what is your decision for each hypothesis test? Give F_obsand F_critfor each hypothesis test.
6. Plot cell means (you can draw this by hand if you don’t know how to do it using a computer) with form of therapy on the x-axis, participants’scoreson the y-axis, and duration of therapy as the grouping variable.
7. Run post-hoc analysis to sort out the interaction between two independent variables (simple effects analysis).
8. Based on your decision on the main effects and interaction, interpret the results. The interaction should have come out significant, so interpret accordingly! Here, I am not asking you to write a conclusion as it would appear in a research paper. I am simply asking you to interpret the results in your own words. The answer to this question should not take more than 5-6 simple sentences. If you are writing more than that, you are being redundant!

A university is interested in whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism. Over one semester, researchers take random samples of on-campus and off-campus students and record the following number of classes each student misses.

On-campus: (3, 4, 0, 6, 2, 1, 3, 3, 5, 2, 4, 4, 6, 5, 2)

Off-campus: (6, 5, 2, 6, 2, 0, 7, 8, 1, 7, 2, 6, 5, 3, 2)

a) Using a 5% significance level, test whether or not there is a difference between the two groups.

b) Compute and interpret a 95% confidence interval for the difference between the number of classes missed by each group of students. Make sure to show your plug-ins.

c) Based on the confidence interval you created in part B, draw a conclusion about the differences between the means of the two groups.

The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yards/Attempt) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season.†

A) For the 2011 season, suppose the average number of passing yards per attempt for a certain NFL team was 6.4. Use the estimated regression equation developed in part (c) to predict the percentage of games won by that NFL team. (Note: For the 2011 season, suppose this NFL team's record was 8 wins and 8 losses. Round your answer to the nearest integer.)

B) For the 2011 season, suppose the average number of passing yards per attempt for a certain NFL team was 6.4. Use the estimated regression equation developed in part (c) to predict the percentage of games won by that NFL team. (Note: For the 2011 season, suppose this NFL team's record was 8 wins and 8 losses. Round your answer to the nearest integer.)

A Corporation receives 120 applications for positions from recent college graduates in POLS. Assume that 40% of these applicants are graduated from MIT. If they randomly select two application. What is the probability that one of them is MIT graduate?

Last Tuesday, Fuzzy Button Clothing Company lost a portion of its planning and finacial data when its server and its backup server crashed. The company's CFO remembers that the internal rate of return (IRR) of Project Delta is 14.6%, but he can't recall how much Fuzzy Button originally invested in the project nor the project's net present value (NPV). However, he found a note that contained the annual net cash flows expected to be generated by Project Delta. They are:

The CFO has asked you to compute project Delta's initial investment using the information currently avaliable to you. He has offered the following suggestions and observations:

A project's IRR represents the return the project would generate when its NPV is zero or the discounted value of its cash inflows equals the discounted value of its cash outflows - when the cash outflows are discounted using the project's IRR.

The level of risk exhibited by Project Delta is the same as that exhibit by the company's average project, which means that Project Delta's net cash flows can be discounted using Fuzzy Button's 9% WACC.

Given the data and hints, Project Delta's initial investment is ____________ (a. $7,746,571, b. $8,634,704, c. $7,413,064, d. $7,524,980) and its NPV is _____________(a. $919,523, b. $1,226,030, c. $1,021,692, d. $868,438) (rounded to the nearest whole dollar)

A projects IRR will __________ (a. increase, b. decrease, c. stay the same) if the project's cash inflows decrease, and everything else is unaffected.

Jan is a 75-year old woman who has lost significant weight in the last year. She has complaints of anorexia and joint pain. She states she just doesn’t feel like eating sometimes. She has had significant constipation causing hemorrhoids and states it is very difficult to stool.

- What other medical history is necessary in order to effectively treat Jan?

- What education might be helpful?

- What are complications you might consider?

- What therapies might benefit Jan's health?

Last Tuesday, Green Caterpillar Garden Supplies Inc. lost a portion of its planning and financial data when both its main and its backup servers crashed. The company’s CFO remembers that the internal rate of return (IRR) of Project Gamma is 13.2%, but he can’t recall how much Green Caterpillar originally invested in the project nor the project’s net present value (NPV). However, he found a note that detailed the annual net cash flows expected to be generated by Project Gamma. They are:

The CFO has asked you to compute Project Gamma’s initial investment using the information currently available to you. He has offered the following suggestions and observations:

Given the data and hints, Project Gamma’s initial investment is _________ , and its NPV is ____________ (rounded to the nearest whole dollar).

A project’s IRR will _________ if the project’s cash inflows decrease, and everything else is unaffected.

Tabulation Corporation manufactures and sells two types of electronic calculators: EL-520 W and EL-620 T. The following data was gathered from last month’s activities:

                                                                                  EL-520 W          EL-620 T

Sales in units                                                              5,000                3,000

Selling price per unit                                                   $50                  $100

Variable production costs per unit                               $10                  $26

Traceable fixed production costs                                 $100,000          $150,000

Variable selling expenses per unit                                $5                    $6

Traceable fixed selling expenses                                  $5,000              $7,500

Allocated division administrative expenses                  $50,000            $60,000

Required:

1. Prepare a segmented income statement in the contribution format for last month, showing both "Amount" and "Percent" columns for the company as a whole and for each model.
2. Why might it be very difficult to calculate separate break-even sales for each model?
3. Refer to the original data and, if necessary, the results of the segmented income statement prepared in part (1) above. Calculate the total break-even sales (in both units AND dollars) for last month, assuming that none of the fixed production costs and fixed selling expenses is traceable. Allocate the total break-even sales between the two models.
4. Again, refer to the original data and, if necessary, the results of the segmented income statement prepared in part (1) above. Calculate the total break-even sales (in both units AND dollars) for last month, assuming that the "allocated" amounts of the company's administrative expenses are actually traceable. Allocate the total break-even sales between the two models.
5. How reasonable are the total break-even sales numbers calculated in parts (3) and (4) given the actual results for last month?

The Winter Products Division of American Sports Corporation produces and markets two products for use in the snow: Sleds and Saucers. The following data were gathered on activities last month:

                                                                              Sleds             Saucers

Sales in units                                                         2,000                9,000

Selling price per unit                                               $50                  $20

Variable production costs per unit                           $20                    $5

Traceable fixed production costs                    $12,000         $33,000

Variable selling expenses per unit                           $2                     $1

Traceable fixed selling expenses                     $2,000              $3,000

Allocated division administrative expenses   $40,000           $72,000

Required:

a. Prepare a segmented income statement in the contribution format for last month, showing both "Amount" and "Percent" columns for the division as a whole and for each product.

b. Why might it be very difficult to calculate separate break-even sales for each product?
c. Refer to the original data and, if necessary, the results of the segmented income statement prepared in part (a) above. Calculate the total break-even sales (in both units AND dollars) for last month, assuming that none of the fixed production costs and fixed selling expenses is traceable. Allocate the total break-even sales between the two products.
d. Again, refer to the original data and, if necessary, the results of the segmented income statement prepared in part (a) above. Calculate the total break-even sales (in both units AND dollars) for last month, assuming that the "allocated" amounts of the division's administrative expenses are fixed and actually traceable. Allocate the total break-even sales between the two products.
e. How reasonable are the total break-even sales numbers calculated in parts (c) and (d) given the actual results for last month?