Given two independent random samples with the following results

: n1=16

x‾1=92

s1=24   

n2=12

x‾2=130

s2=31

Use this data to find the 80% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 80% confidence interval. Round your answers to the nearest whole number.

Suppose that the following data represents ages of all tenured faculty members in a certain academic department, and we want to numerically describe the age distribution for this department only:

42, 39, 44, 50, 45, 42, 36, 47, 39, 42, 43, 47

What is the 3^rd quartile?

Variable Costing Income Statement for a Service Company

East Coast Railroad Company transports commodities among three routes (city-pairs): Atlanta/Baltimore, Baltimore/Pittsburgh, and Pittsburgh/Atlanta. Significant costs, their cost behavior, and activity rates for April are as follows:

Operating statistics from the management information system reveal the following for April:

a. Prepare a contribution margin by route report for East Coast Railroad Company for the month of April. Calculate the contribution margin ratio, rounded to one decimal place.

b. Evaluate the route performance of the railroad using the report in (a).

The route performs significantly worse than do the other two routes. A close examination of the operating statistics indicates that this route runs railcars, combined with fairly total mileage. This combination suggests that the railroad is running many trains on the railroad. That is, the railroad’s profitability is sensitive to the size, or length, of the train in railcar terms.

1. Baseball America has noticed the number of homeruns has been increasing in recent years in the MLB. They want to develop a 95% confidence interval that captures the true home run percentage. Home run percentage is defined as the number of home runs per 100 at bats. To do so, they randomly selected 64 current MLB players and calculated their homeruns per at bat for the previous year, and obtained a sample mean and sample standard deviation of 2.2 and 1.7, respectively.

a. Compute a 95% confidence interval for the population mean ? of the home run rate for all MLB players. Interpret with context to the problem.

b. The home run percentages for three MLB players are:

• Player 1: Primetime Peanuts: 2.1

• Player 2: Spleens “No Pop” McGillicuddy: 4

• Player 3: Big Dog Lebowski: 1.5

Assess the confidence interval you calculated and describe how the home run rate for these three players compare to the interval calculated for the population mean.


c. If the confidence level was increased to 99%, would the interval be wider or narrower? Why?

d. Before collecting any data, Baseball America wants to achieve a maximum bound on error of 0.3. They suspect the range of home run rates to be 1.5 to 8. How large a sample should be used to be 95% confident of achieving this level of accuracy?

PLEASE SHOW ALL FORMULA AND WORK.

THANK YOU :)

Case Study: Shannon

Shannon is a 30-year-old woman preparing to run her first marathon. She regularly runs 30km per week, attends the gym three times per week doing a mix of cardio- and weight training sessions and also plays touch football once a week in a social work team. She is up early most mornings and when she does not run will either practice yoga at home or do a 30- to 40-minute power walk.

Shannon ran competitively throughout secondary school, eventually stopping after a series of stress fractures. At the time, she was particularly sensitive about her weight and body composition as she was serious about becoming an elite distance runner and her coach regularly made comment about achieving a low body fat content. He would also assess body composition every month during the season using a ‘pinch test’; a test Shannon particularly hated.

Shannon’s current diet:

BF: 2 Hi Bran (Sanitarium) breakfast biscuits with no-fat soy milk, sliced banana and 1 tbsp of processed bran. Glass of juice          

Lunch: Wholemeal lavash bread with hommus, 60 g of chopped chicken pieces, avocado and salad. Piece of fruit      

Dinner: Dahl with brown rice and large side salad   Handful of dried fruit, nut and seed mix.

Supper: Fresh fruit × 1–2 pieces. Warm mug of carob made on no-fat soy milk

With twelve weeks to go before the marathon, Shannon has joined a running group that effectively doubled her weekly training distance to around 85 km. She is married, works full-time as an environmental economist and has no children, although has been thinking about children in the not-too-distant future.

Shannon now reports losing 3 kg over the first six weeks of the running group attendance; however, she felt this was a great result as she had almost returned to her old running weight. However, she reports that she is feeling excessively fatigued, and found that although, initially she seemed to be running well within her new training group, she has begun to struggle to maintain pace during the long group runs. She has persisted with her weight and cardio-sessions, along with her morning walks but recently found that she started to miss sessions because she lacks energy.

1. What suggestions would you make about Shannon's exercise program?

2. What is the Female Athlete Triad and could this state be applied to Shannon?
3. What dietary changes would you recommend for Shannon and why?

What do you need to consider when assessing the nutrient needs of an athlete?

(i) Design an 8-bit ripple adder which can add together two 8-bit numbers, inside a hierarchical block. Explain your design. Name your block with your student number: eg “123456 ripple adder”. (ii) Test your circuit in block form, showing four example additions with manual calculations to show they are correct. [

i need to fill in the top chart but with this given information but i have no idea what they are asking for or what calculations to do. i also do not know what my professor means by intercept

IN C++ PLEASE

Requirements

Write a program that takes in user input of two integer numbers for height and width and uses a nested for loop to make a rectangle out of asterixes. The creation of the rectangle (i.e. the nested for loop) should occur in a void function that takes in 2 parameters, one for height and one for width. Make sure your couts match the sample output (copy and paste from those couts so you don't make a simple error). The Pre and Post condition should be a comment above the prototype; it should specify invalid input (there is no requirement for output on invalid input and it is not tested).

Rubric

-void function prototype, pre post comment, and definition matching prototype, and function called correctly 3 pts

-user input prompted and input accepted 2 pts

-correct bounds on the nested for loop 2 pts

-correct output 3 pts

Sample output (output in bold, input in nonbold):

What height do you want your rectangle?

5

What width do you want your rectangle?

5

*****

*****

*****

*****

*****

What height do you want your rectangle?

3

What width do you want your rectangle?

10

**********

**********

**********

What height do you want your rectangle?

6

What width do you want your rectangle?

2

**

**

**

**

**

**

What height do you want your rectangle?

10

What width do you want your rectangle?

7

*******

*******

*******

*******

*******

*******

*******

*******

*******

*******

You are in a world where there are only two assets, gold and U.S. stocks. You are interested in investing your money in one, the other, or both assets. Consequently, you collect the following data on the returns on the two assets over the last six years.

1. If you were constrained to pick just one, which one would you choose? Explain.

(2) A friend argues that you must choose the gold. He tells you that the distribution of gold returns is positively skewed (while the distribution of stock returns is not skewed) and thinks that choosing the stock market ignores the big payoffs that you can occasionally get on gold. What would your response be? Explain. Hint: There is no right or wrong answer here, just write what you think and justify your position.

(3) How would a portfolio composed of equal proportions in gold and stocks do in terms of mean and variance? Explain and show your work.

(4) What are the proportions of gold and U.S. stocks in the minimum variance portfolio? Show your work in Excel and write your answer here.

(5) You now learn that GPEC (a cartel of gold-producing countries) is going to vary the amount of gold it produces with stock prices in the United States. (GPEC will produce less gold when stock markets are up and more when they are down.) What effect will this have on your portfolio? How would you change the composition of your portfolio? Explain.

Taussig Technologies Corporation (TTC) has been growing at a rate of 12% per year in recent years. This same growth rate is expected to last for another 2 years, then decline to g_n = 7%.

1. If D₀ = $2.00 and r_s = 12%, what is TTC's stock worth today? Do not round intermediate calculations. Round your answer to the nearest cent.
   $  
   
   What is its expected dividend yield at this time, that is, during Year 1? Do not round intermediate calculations. Round your answer to two decimal places.
     %
   
   What is its capital gains yields at this time, that is, during Year 1? Do not round intermediate calculations. Round your answer to two decimal places

1. What will TTC's dividend and capital gains yields be once its period of supernormal growth ends? (Hint: These values will be the same regardless of whether you examine the case of 2 or 5 years of supernormal growth; the calculations are very easy.) Round your answers to two decimal places.
   
   Dividend yield:   %
   
   Capital gains yield:   %