7. A study of youth video-game culture was conducted in schools throughout British Columbia, Canada. Part of the study focused on the differences in academic performance between "heavy" players and "light" players of video games: heavy players defined as spending more than 7 hours per week on the games; light players defined as spending less than 3 hours per week gaming.

• A sample of 240 "heavy" users had an average GPA of 2.7, with a standard deviation of 0.7.
• A sample of 320 "light" users had an average GPA of 3.2, with a standard deviation of 0.6.

a. Build a 90% confidence interval estimate of the difference in average GPA for the two populations of "heavy" and "light" gamers.

b. Test the hypothesis that mean GPA between heavy and light game players are equal at the a = 5% significance level. What do you find?

8. Two proposed advertising campaigns themes for a new product are being evaluated for effectiveness. A random sample of 120 consumers is exposed to theme A, and another sample of 100 consumers is exposed to theme B. The study asks each customer whether they have a positive opinion of the product.

• 78% of the theme A participants said, yes, they have a positive opinion about the product.
• 64% of the theme B participants said, yes, they have a positive opinion about the product.

Is there enough evidence to support the claim that theme A is a more effective campaign than theme B, with an a = 5% level of significance?

9. In a test of running shoes, German sporting goods manufacturer, Derrunningzmitdershoessenhoffer, randomly selected 8 amateur runners to test two of its new shoe designs. The table shows how long the test shoes lasted before they were no longer usable.

Wear Time in Weeks

Runner

1

2

3

4

5

6

7

8

Design 1

15.6

17.6

10.3

9.4

13.4

13.5

14.7

20.6

Design 2

14.7

16.1

8.0

9.0

15.3

10.2

15.2

18.3

Test the null hypothesis that there is no difference in average life for the two shoes, using a = 5%.

For the following, Use the five-step approach to hypothesis testing found on page 8-16. It states. You can use excel to compute the data or you can do it by hand. The youtube videos provided in the links will walk you through the steps to complete the following problems.

1. State the hypothesis and identify the claim.

H0:

H1:

2. Use a Pearson Correlation
3. Compute the test Value It will be a correlation
4. Make a decision to reject or fail to reject the null hypothesis.
5. Summarize the results

Problem #3 You are a researcher who wants to know if there is a relationship between variable Y and variable X. You hypothesize that there will be a strong positive relationship between variable Y GPA and Variable X hours of sleep. After one semester, you select five students at random out of 200 students who have taken a survey and found that they do not get more than 5 hours of sleep per night. You select five more students at random from the same survey that indicates students getting at least seven hours of sleep per night. You want to see if there is a relationship between GPA and hours of sleep. Using a Pearson Product Correlation Coefficient statistic, determine the strength and direction of the relationship and determine if you can reject or fail to reject the HO:

Variable Y        Variable X    

2.5                      5               

3.4                      8                

2.0                      4               

2.3                     4.5              

1.6                     3     

3.2                     6

2.8                     7

3.5                     7.5

4.0                     6.5

3.8                     7

solve it with exact data given not an example or other illustration.

A.

An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 17% and a standard deviation of return of 18.0%. Stock B has an expected return of 13% and a standard deviation of return of 5%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 8%. The proportion of the optimal risky portfolio that should be invested in stock A is _________.

B.

If there are two companies making the same model of cellphones. Assuming the demand for the cellphones produced by Company 1 is D1, and the demand for the cellphones produced by Comp nay 2 is D2, are described by the following two functions:
D1=200-P1-(P1-P)
D2=170-P2-(P2-P)
where P is the average price over the prices of the two companies, i.e., P=[P1+P2]/2. Each company has the cost of C1=C2=10 for producing one cellphone. Suppose each company can only choose one of the three prices {40, 70, 90} for sale.

(1] Compute the profits of each company under all sale price combinations and make the payoff matrix for the two companies. [Hint: the total profits = the demand for the cellphones * the profit of one cellphone after sale. You can type the pay off table for each company as a matrix in the ansering box such that the first row and first column present strategies.]

(2] Find the Nash equilibrium of this game. What are the profits at this equilibrium? Explain your reason clearly.

(3) If the cost for Company 2 changed as C2=20, would the Nash equilibrium change? Why?

Calculate F Test for given 10, 20, 30, 40, 50 and 5,10,15, 20, 25.
For 10, 20, 30, 40, 50:

An investor purchased the following five bonds. Each bond had a par value of $1,000 and a 8% yield to maturity on the purchase day. Immediately after the investor purchased them, interest rates fell, and each then had a new YTM of 7%. What is the percentage change in price for each bond after the decline in interest rates? Fill in the following table. Enter all amounts as positive numbers. Do not round intermediate calculations. Round your monetary answers to the nearest cent and percentage answers to two decimal places.

Minimizing missing data: Here are some types of missing data that you might encounter when implementing a clinical trial. Pick two, and briefly describe a study procedure you could use to minimize the chance of that type of missing data occurring.

1. A participant does not show up for a study visit.

2. A participant does not bring important information (for example, a list of current medications or a pain diary that was supposed to be filled out).

3. Inadequate physical exam done by study staff (for example, pulse not taken).

4. Lab mishap (for example, serum sample lost by lab or in transit to lab).

5. Careless form completion by study staff (for example, a few questions not answered).

6. Careless data entry (for example, the data collection form recorded a diastolic blood pressure of 84, but the study database shows no value was recorded).

7. Participant has an in-office survey to fill out but doesn't complete all questions.

Bob works for Jet Skis Incorporated, and is the top salesperson for the past five years. The manager Bill tells Bob “I have to let you go, good luck finding a new job.” Bob asks why and Bill says “You are an at-will employee, I do not have to give you a reason.” Bob, who is 44 years old, notices three other employees were also terminated, all identified as Hispanic ethnicity, over 40 years of age. Does Bob have any actionable claim he can file against the company? Explain what is the bases of his claim?

`

`

`

`

`

Zoey Responded with:

I’m hopeful that Bill is not a manager in the HR department! Bob absolutely has an actionable item against Bill and Jet Skis, Inc. for several reasons that he must prove – which should not be hard based on the information presented. Federal and state discrimination statues prohibit employers (except in the state of Montana) from basing employment decisions on an employee’s race, color, religion, sex, national origin, age, disability or veteran status.[1] Although the laws governing employment vary from state to state (and Country to Country), there are a few basic elements for Employment-At-Will (or Termination-At-Will) suggesting that employers may dismiss at will for good cause, for no cause, or even for a cause that is morally wrong. However, there are limitations to employment-at-will which can include fixed-term contracts as well as proscriptive and retaliatory statutes. The proscriptive limitations generally prohibit discharge based on employee characteristics, such as laws barring discrimination on the basis of age, race, or disability. On the other hand, retaliatory statutes bar discharge in response to something an employee has done, such as whistle-blower protection or laws prohibiting a company from firing an employee who has filed a workers’ compensation claim.[2] Additionally, the reason for dismissal must not violate federal or state law.[3]

The Age Discrimination in Employment Act (ADEA) forbids age discrimination against people who are age 40 or older.[4] - Bob is 44 years old. The Equality Act of 2010 says that you must not discriminate based on color, nationality (including citizenship), ethnic or national origins, and racial groups.[5] - the given scenerio presents Bob as one of four employees terminated who are all of Hispanic ethnicity and all over the age of 40. Without additional information, it does appear that the EEOC would at least open an investigation into Bob's termination.  Bill's actions would be very difficult to defend in court without written and substantiated documentation for the termination of the employees.

`

`

`

Now for chegg, I want you to respond to Zoey in a minimum of two paragraphs or more. Focus on Zoey's statement and respond to that.

Beckman Engineering and Associates (BEA) is considering a change in its capital structure. BEA currently has $20 million in debt carrying a rate of 8%, and its stock price is $40 per share with 2 million shares outstanding. BEA is a zero-growth firm and pays out all of its earnings as dividends. The firm's EBIT is $13 million, and it faces a 25% federal-plus-state tax rate. The market risk premium is 6%, and the risk-free rate is 6%. BEA is considering increasing its debt level to a capital structure with 40% debt, based on market values, and repurchasing shares with the extra money that it borrows. BEA will have to retire the old debt in order to issue new debt, and the rate on the new debt will be 11%. BEA has a beta of 0.8.

What are BEA's new beta, cost of equity (Rs), and WACC if it has 40% debt? Do not round intermediate calculations. Round your answers to two decimal places.

The physician wanted to know if conception periods were different due to the degrees of coffee drinking habit. Thus she collected data on the number of month to conception for 3 light coffee drinkers (1-2 cups per day), 4 moderate coffee drinkers (3-4 cups per day), and 3 heavy coffee drinkers (more than 4 cups per day). The table below summarizes the month to conception as a function of the three groups (light, moderate, and heavy coffee drinkers).

You are asked to analyze the above data with one-way ANOVA. Please answer the following questions with regards to one-way ANOVA on the above data.

1. State the null and alternative hypotheses (2pts)

2. Identify the degrees of freedom(s). (2pts)

3. Identify the F critical based on the degrees of freedoms above by consulting with F table (2pts)

4. Here is the summary table presenting SSwithin, SS between, and SStotal. Please compute F value based on SSs and Degrees of Freedoms that you identified in the above. This should require computing MSwithin, MSbetween, and F. (2pts each for these three values)

5. State your decision on the hypothesis based on the calculation above that led to the F value (2pt).

6. You tried to replicate above study with the exact same number of participants, and you got the following results:

You may notice that the means of the three groups are the same as the previous results with three means for L, M, H conditions being 5, 6, and 9 respectively. Please fill out the blank sections of the summary table below based on your understanding/knowledge of how One-way ANOVA works. If you get the correct F value, you will get 9pts. If you do not get the correct F value, 1 pt is given for each of the 6 values (SSs, DFs, and MSs) that is correct.

7. Please compare the two results (and two summary tables), and explain why this difference in F values occurred across the two studies. The explanation should involve the concept of variance between and variance within. (3pt)