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)

I have these answers to 1-4

1. The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

2. df = 9

3. F critical = 4.74

4.

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)

a) In the first trading day of 1998, Hang Seng Index closed at 10680.60, while in the last trading day of 2017, it closed at 29919.15. What is the average annual growth rate of Hang Seng Index in this 20-year?                              

b) The following yield curve is observed of the U.S. Treasury securities on 28th October 2019:

Suppose the pure expectation theory is correct. Forecast the expected one-year yield rate of one year later and of two years later respectively.  

Review Handout | Absolute Advantage and Comparative Advantage | Cases 1-3 (3 pages)

*Holding other things constant and considering the usual assumptions for the 2C-2G-1F model and production per unit of labor for both Case 1 and Case 2 below, determine which country has the absolute advantage and comparative advantage in which good.

Example Case 1

To determine who has a comparative advantage in which good, we will need to calculate opportunity costs of good X and good Y in each country first.

In the case of Country A above, the opp. cost of X (in terms of Y) is the number of units of Good Y Country A should give up in order to produce one more unit of Good X.   To find out this, we can simply divide the number of Good X and Good Y per unit of labor in each cell by 60, respectively, so that we can see how many units of Good Y Country A should give up to produce one more unit of Good X in Country A.   As shown above, it will be 1.33.  

By the same token, in the case of Country A, the opp. cost of Y (in terms of X) is the number of units of Good X Country A should give up in order to produce one more unit of Good Y.   To find out this, we can simply divide the number of Good Y and Good X per unit of labor in each cell by 80, respectively, so that we can see how many units of Good X Country A should give up to produce one more unit of Good Y in Country A.   As shown above, it will be 0.75.  

1. Which country has an absolute advantage in producing X and Y, respectively?

Hint) Per unit of labor, which country is producing Good X (Good Y) more in absolute terms?

2. Country A has a comparative advantage in producing:

3. Country B has a comparative advantage in producing:

Case 2

1. Which country has an absolute advantage in producing wine and wool, respectively?

2. Portugal has a comparative advantage in producing:

3. The U.K. has a comparative advantage in producing:

Case 3. Now assume that country “American” can produce either 20 songs or 40 boxes of roses per week. Assume that country “Eagle” can produce 10 songs or 50 boxes of roses per week. Consider the usual assumptions holding other things constant.

1. Which has a comparative advantage in the production of songs?

2. Which has a comparative advantage in the production of roses?

3. If each produces songs for one week and then roses for one week, show the total    production of both goods.

4. Now, assume each country specializes for two weeks. Indicate the total production of both goods. Show that trade between the two countries after this two-week period can allow both countries to consume both more roses and songs.

1. Assume there are 5 seats to vote in the board of directors. There are only three shareholders: Arnold (100 shares), Beth (40 shares), and Charles (60 shares). With cumulative voting Charles can elect at least _________.

Select one:

a. zero directors

b. one director

c. two directors    

d. three directors   

2If a savings account pays an annual interest of 2% compounded quarterly, then the quarterly interest rate should be less than 0.5%.

Select one:

True

False

3.If a company is liquidated, preferred shareholders have a first claim on the company assets than subordinate debt holders.

Select one:

True

False

4Assume you invest $20,000 with expected cash flows of $10,500 and $11,025 in periods one and two respectively. If the discount rate is 5% then the net present value of your investment is $1,525.

Select one:

True

False

5.An example of indirect finance is when companies issue bonds instead of getting loans from commercial banks.

Select one:

True

False

1. Financial institutions in the U.S. economy

Suppose Paolo would like to invest $2,000 of his savings.

One way of investing is to purchase stock or bonds from a private company.

Suppose TouchTech, a hand-held computing firm, is selling stocks to raise money for a new lab—a practice known as _____ (equity or debt) finance. Buying a share of TouchTech stock would give Paolo _________ (a claim to partial ownership in/ an IOU, or promise to pay, from) the firm. In the event that TouchTech runs into financial difficulty, _______ (The bondholders/ Paolo and other stockholders) will be paid first.

Suppose Paolo decides to buy 100 shares of TouchTech stock.

Which of the following statements are correct? Check all that apply.

The price of his shares will rise if TouchTech issues additional shares of stock.

The Dow Jones Industrial Average is an example of a stock exchange where he can purchase TouchTech stock.

Expectations of a recession that will reduce economy-wide corporate profits will likely cause the value of Paolo's shares to decline.

Alternatively, Paolo could invest by purchasing bonds issued by the U.S. government.

Assuming that everything else is equal, a corporate bond issued by an electronics manufacturer most likely pays a ____ (lower/higher) interest rate than a municipal bond issued by a state.

1. Financial institutions in the U.S. economy

Suppose Rajiv would like to invest $4,000 of his savings.

One way of investing is to purchase stock or bonds from a private company.

Suppose RoboTroid, a robotics firm, is selling stocks to raise money for a new lab—a practice known as (equity/debt) finance. Buying a share of RoboTroid stock would give Rajiv ( an IOU, or promise to pay,from/a claim to partial ownership in)   the firm. In the event that RoboTroid runs into financial difficulty,( Rajiv and the other stockholders/the bondholders) will be paid first.

Suppose Rajiv decides to buy 100 shares of RoboTroid stock.

Which of the following statements are correct? Check all that apply.

1.The Dow Jones Industrial Average is an example of a stock exchange where he can purchase RoboTroid stock.

2.Expectations of a recession that will reduce economy-wide corporate profits will likely cause the value of Rajiv's shares to decline.

3.The price of his shares will rise if RoboTroid issues additional shares of stock.

Alternatively, Rajiv could invest by purchasing bonds issued by the government of Japan.

Assuming that everything else is equal, a bond issued by the government of Japan most likely pays a (higher/lower)    interest rate than a bond issued by a government that is engaged in a civil war.

Eric and Pat are baseball fans. They drove to the local stadium in Eric's car to watch a game, and decided to park in the parking garage. When driving into the parking garage, they were required to take a ticket in order to get access to the garage. The cost for parking the car was $15.00, which was not due until exiting the garage. After taking the ticket, they parked the car and then walked across the street to the game. When the game was over, they walked back to the car. Upon approaching Eric's vehicle, they noticed that one of the windows had been smashed in. Everything inside had been taken, including Pat's work laptop which had been sitting in a bag in the backseat of the car. Eric and Pat were upset that the parking garage security didn't notice and prevent this crime from happening. Eric and Pat filed a lawsuit against the company that runs the parking garage. The company (ABC Co.) defended, stating that on the back of the ticket is a clause which states the following in conspicuous lettering: "ABC Co. is not liable for any loss of contents or damage caused to vehicles parked in the garage due to its own negligence or the actions of any other person." Will the court uphold the clause on the parking ticket? Make sure to fully explain your answer. This means including the law that applies and the reasoning in applying that law.

Part I. Genetics and Epigenetics

Based on your readings, please explain how you think genetics and epigenetics affects:

us, as persons,

how we view and interact with others,

the kinds of perceptions and judgments we have about people, cultures, and populations,

how public policy, government benefits, corporate structure, and other systemic structures can be changed (if needed), and

how our own values can change or be modified to make room for a new understanding of epigenetics

Part II. Indigenous understanding of Genetics and Epigenetics

Studies in cultural psychology speak of "folk knowledge". Much of these are oral traditions passed down through multiple generations and carry the beliefs, stories, and wisdom of previous generations. One inherent understanding is that heritability that runs in families is not exclusive to the way we look but is extended to the way we act, think, and to how personalities develop. The environment in which we develop is also important to many cultures and traditions. The language used in indigenous psychology does not utilize scientific terms; they used their own terms to explain multi-generational and multi-dimensional inheritance (genetics and epigenetics).

Please describe how your culture explains heritability (genetics and epigenetics). You can incorporate customary practices, beliefs, rituals, myth, and academic studies.

A airline wishes to estimate the mean number of seats that are empty on flights that use 737-airplanes. There are 189 seats on a plane. To do so, the airline randomly picks n=35 flights. For each flight, the number of empty seats is counted. The data are given below.

38, 42, 44, 42, 40, 45, 37, 31, 33, 36, 35, 39, 37, 37, 43, 38, 41, 27, 33, 35, 37, 46, 32, 35, 35, 42, 37, 41, 29, 40, 44, 34, 34, 41, 29

(a) Find the mean and the standard deviation of this sample. Use at least three decimal places in each answer.

(b) To construct a confidence interval for the mean number using the T distribution for unoccupied seats on all flights, what condition must you hold?

A. That the number of unoccupied seats are normally distributed.

B. The sample size is sufficiently large for the Central Limit Theorem to provide a valid approximation.

C. The number of unoccupied seats can be modeled by the Binomial distribution.

D. The number of unoccupied seats are not normally distributed.

(c) Find a 90% Student T confidence interval for μ, the mean number of empty seats on this airline's flights. Use at least three decimal points for your lower and upper bounds.

Lower Bound =

Upper Bound

(d) Find a 90% confidence interval for μ, the mean number of empty seats on this airline's flights, by Bootstrapping 1000 samples. Use the seed 7775 to ensure that R-Studio "randomly" samples the same "random" samples as this question will expect.

You can do this by including the code, you can copy it into your R-Studio to bootstrap your samples.

RNGkind(sample.kind="Rejection");

set.seed(7775);

B=do(1000) * mean(resample(c(38, 42, 44, 42, 40, 45, 37, 31, 33, 36, 35, 39, 37, 37, 43, 38, 41, 27, 33, 35, 37, 46, 32, 35, 35, 42, 37, 41, 29, 40, 44, 34, 34, 41, 29), 35));

Use at least three decimal points for your lower and upper bounds.

Lower Bound =

Upper Bound =