A. The Train Station has a database of travel times on the blue line ever sense it began running. An analyst pulls a report of all the travel times from the Washington stop to the Oak Park stop. The average is 14 and the standard deviation is 4.

B. The analyst calculates 81 average travel times based on a random sample of 49 travel times in each sample. A subset of these averages is 14.5, 16.8, 17.2, etc.

C. One of the sets of 49 travel times has values such as 12, 14, 18, 17, etc.

Question 1

Indicate which of the three is a sample distribution

Choice A

Choice B

Choice C

Question 2

Indicate which of the three is the population distribution

Choice A

Choice B

Choice C

Question 3

Indicate which of the three is a sampling distribution

Choice A

Choice B

Choice C

Question 4

According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the average of the sampling distribution

A) 14

B) 4/2

C) 14/81

D) 4/7

Question 5

According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the standard deviation of the sampling distribution

A) 14

B) 4/6

C) 14/10

D) 4/7

Question 6

According to the Central Limit Theorem (and only the Central Limit Theorem) what will be the shape of the sampling distribution

A) Regular

B) Normal

C) Non-normal

D) Rectangular

Question 7

Now suppose that the analyst calculates 100 averages each with a random set of 36 travel times in each sample. What will be the standard deviation of the sampling distribution. All other facts are the same.

A) 14

B) 4/6

C) 14/10

D) 4/7

Question 8

Which of the two sampling distributions will have a WIDER spread?

A) The first

B) The second

I actually did question 1-7, but I do have some problems in 8 and 9.

part I: Project Rescue (25 points) The Park Rangers protecting our national forests typically carry communication and sighting equipment that is used to help locate lost hikers, forest fires, airplanes crashes and other such like. In one instance, a light plane P crashed in a dense part of the forest, with the crash occurring to the northeast of a ranger R who witnessed the event. The witness was located 12 miles due east of the ranger station S. The bearing from the witness to the crash site was 20º, while the bearing from the Ranger Station, based on the smoke plume from the wreckage, was 52º. Answer the questions that follow, showing work to support your answers and rounding answers to nearest tenth, unless otherwise indicated. Answer the “Why?” questions in complete sentences.   

1) Use the information given to draw RSP. Draw the triangle large enough to fit the box below, labeling all given information and measurements appropriately.

2) What is the measure of ∠ PSR? Why?


3) What is the measure of ∠ PRS?



4) What is the measure of ∠ RPS? Why

5) Can we use the Law of Sines to find the distances SP and RP? Why/why not?

6) What is the distance SP from the ranger station to the crash site?

7) What is the distance RP from the ranger who witnessed the crash to the crash site?

part II: Project Rescue (15 points) Redraw the figure in Part I in the box below. A search and rescue team T is assembling at a point that is 7 miles due east of the ranger station S, directly between the ranger station and the witness. Draw a line connecting point T and point P.

8) How far is the rescue team T from the crash site?
9) What direction should they head to reach the crash site? Answer in terms of a bearing.

After the first interview, ABC Telecom could not decide whom to hire as the new project manager. Since Tom did well in his first interview, he was invited back to attend the second interview. He was given the following problem to solve:  The company is bidding for a tender to install and commission a fibre communication network at the new headquarter for AIG Australia Ltd located on Park Street, Sydney. The new headquarter occupies five (5) floors in a 20-storey commercial building and has a combined floor area of 4,000 sq. metres.  As the project manager, Tom is asked by his supervisor to provide an estimate of how long the project might take since the client has requested this information specifically for the kick-off project meeting in a week’s time. Tom’s supervisor told him that what the client wants are probabilities of finishing the project within a specified period of time, such as in four (4) weeks, five (5) weeks, or six (6) weeks’ time, for instance. a) If you were Tom, what would be your approach in calculating these probabilities. To receive full marks, you must describe your approach fully. [10 Marks] b) Below are listed the figures which are needed to come up with the measures that he could report to the client. Project initiation, scoping and planning estimates  6 weeks: 10%  7 weeks: 50%  8 weeks: 40% Project execution, closure and handover estimates  10 weeks: 20%  11 weeks: 40%  12 weeks: 40% For his report to the client, Tom decided to present those measures in a tree diagram that highlighted the estimates. i. Please help Tom draw the tree diagram. [3 Marks] ii. What would be the chance of finishing the project within 16 weeks? 21 weeks? To receive full marks, you must show your steps clearly.

Identifying Influence Tactics Instructions: After reading the following passage, identify which influence tactics the leader is using, and explain your reasoning.

Gina is the director of human resources in a diversified company with approximately 50,000 workers. She has assembled her five direct reports in a hotel conference room for a Saturday morning meeting. With an intense facial expression, Gina launched directly into her presentation, supported by PowerPoint slides on a large screen.

“Enjoy your coffee, tea, juice, donuts, bagels, and pastries because I can offer you no other goodies this morning. As HR professionals, you know we are in trouble. As hard as we all work, and as much good as we do, our jobs are in peril. The trend is clear. Our corporation, similar to many others, might be outsourcing our work to HR vendors. The movement has already begun with payroll being outsourced last year and health insurance this year.

“Even worse, the corporate group is planning to purchase HR software that will enable line managers throughout the company to take care of their own HR responsibilities, such as recruiting and selection.

“I want to work with all of you to develop strategies and tactics so vital that the top-management team will decide to keep our group intact, and not join the outsourcing movement. We need also to discourage line managers from being performing HR on their own without our help. Think of HR activities so vital that we become indispensable. Maybe we should be coordinating a flu-shot program. Maybe we should beef up our wellness program so much that absenteeism and insurance costs are reduced to an extent that our contribution to the bottom line is obvious even to our chief financial officer.

“Now that I’ve told you the truth, let’s get started having a true dialogue about the challenges facing us.”

All public assembly venues share a common thread in their mission statements or public purpose: to fill all available seats or fill all meeting room and exhibit space as frequently as possible. Why not sell all of the seats or floor space? Some public assembly venues may have financial profit as their primary focus while others may concentrate more on providing programming that best serves the community’s needs. The concept of selling every seat may be literally applied to arenas. With respect to convention centers, the goal may be to attract convention and multi-day meetings that bring large numbers of out-of-town attendees who spend “new” money in the community, thereby stimulating the local economy. Of course it must be recognized that other types of public assembly venues may attract out-of-town audiences from outside the taxing jurisdiction who also spend “new” money.

National Recreation and Park Association Annual Convention

-rental fee (move-in, move-out, and event days) (approximate total rental fee of $45,000 food and beverage commissions (banquets, meeting-room breaks, etc.)

-rentals (exhibit materials, AV equipment, etc.)

-39 Labor charge-backs

Bruno Mars Concert

-Venue rental fee (6% of gross ticket sales) (average ticket price of $75)

-ticket service charges and commissions

-concessions commission (% of gross sales)

-merchandise commission (% of gross sales)

-broadcast origination fee (flat flee of 2,000)

-labor charge-backs

-parking revenue

-only limited room nights would be generated, as concert attendees will be mostly locals

Based on the information provided:

1. Determine which of the two events will generate the greater amount of ancillary revenues for the complex.
2. Determine which of the two events will create greater positive economic impact for the metropolitan community.
3. Formulate for the board of directors a written recommendation regarding which event should be confirmed. Include at least 3 persuasive points to support your recommendation.

The following table shows age distribution and location of a random sample of 166 buffalo in a national park.

Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: Age distribution and location are independent.
H₁: Age distribution and location are independent.

H₀: Age distribution and location are not independent.
H₁: Age distribution and location are independent.    

H₀: Age distribution and location are not independent.
H₁: Age distribution and location are not independent.

H₀: Age distribution and location are independent.
H₁: Age distribution and location are not independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)


Are all the expected frequencies greater than 5?

Yes

No

What sampling distribution will you use?

Student's t binomial    

chi-square

uniform

normal

What are the degrees of freedom?


(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)


(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis.

Since the P-value > α, we reject the null hypothesis.    

Since the P-value ≤ α, we reject the null hypothesis.

Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that age distribution and location are not independent.

At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.

Part A

Java netbeans

☑ Create a project and in it a class with a main.

We will be using the Scanner class to read from the user. At the top of your main class , after the package statement, paste

import java.util.Scanner;

As the first line inside your main method, paste

Scanner scan = new Scanner(System.in);

Remember when you are getting a value from the user, first print a request, then use the Scanner to read the right type from the user and put it in a variable of that type.

In the main, do the following:

(You can use if, if-else, nesting, or boolean operators. You may not use special math methods, just relational and algebraic operators.)

☑ Get an int n from the user and print "high" "middle" or "low" depending on whether n is above 75, between 25 and 75, or below 25, but if it is exactly 75 or 25 print "hard to say"

☑ Ask the user their favorite animal and get a String as their answer. For five possible values ("cat" "dog" "capybara" etc... your choice) if the user said that animal, print a specialized comment about it (e.g. if they said "cat" you might print "oh, purr!"). If they said none of the types your program covers, instead print a general comment for all other types of animal.

☑ At a certain amusement park, children under 5 get in for $4, children up to (inclusive) 12 get in for $10, teens up to 19 get in for $12, adults up to 59 for $15, seniors up to 79 for $10, and seniors 80 and over for $5. In your main, ask the user for their age. Create a a single compound if-else statement that goes through all the possibilities for admission price above and prints out the appropriate price, given the user's age.

☑ [EC+10] read in an x from the user and print "even" if x is even and "odd" otherwise. You do not need any special math methods to do this.

Use the following table displaying 20 of the top (era-adjusted) grossing movies of all time, along with their Metacritic score (a weighted average of critics ratings), the amount of money they grossed (weighted for the year of release, in millions of dollars), and an indicator of whether or not the movie is a sequel to answer the following questions. You will need to use StatCrunch for this question.

a) Find the correlation between the Metacritic and Adj_Gross variables. Describe the strength and direction of the correlation.

b) Does having a higher Metacritic score have more an impact on gross revenue for original movies (non-sequels) or sequels? Put another way, does an increase of 1 in the Metacritic variable add more value to sequels or non-sequels? Justify your answer. You should be finding two different regression equations to answer this question.

c) Let’s say a new movie came out that received a Metacritic score of 89. Using your regression equations, how much money would it be expected to make if it is a sequel? How much money would it be expected to make if it is not a sequel?

Comprehensive Problem 12-53 (LO 12-1, LO 12-2, LO 12-3)

Pratt is ready to graduate and leave College Park. His future employer (Ferndale Corp.) offers the following four compensation packages from which Pratt may choose. Pratt will start working for Ferndale on January 1, year 1.

Assume that the restricted stock is 1,000 shares that trade at $5 per share on the grant date (January 1, year 1) and are expected to be worth $10 per share on the vesting date at the end of year 1. Each NQO allows the employee to purchase 10 shares at a $5 strike price). The stock trades at $5 per share on the grant date (January 1, year 1) and is expected to be worth $10 per share on the vesting date at the end of year 1. Also assume that Pratt spends on average $3,000 on health-related costs that would be covered by insurance if he had coverage. Assume that Pratt’s marginal tax rate is 35 percent. Assume that Pratt spends $3,000 in after-tax dollars for health expenses when he doesn’t have health insurance coverage (treat this as an outflow), and that there is no effect when he has health insurance coverage. (Ignore FICA taxes and time value of money considerations). (Leave no answers blank. Enter zero if applicable.)

Comprehensive Problem 12-53 part c

c. Assuming Pratt chooses Option 3 and sells the stock on the vesting date (on the last day of year 1), complete Pratt’s Schedule D and Form 8949 for the sale of the restricted stock.

The big idea behind hypothesis testing is that we have an assumption about reality, and we see if the data fits that assumption. The whole process gets complicated by all the notation and calculations, but essentially we’re deciding if the assumption is possible, or if the data leads us to reject it.

1. Your friend Hamad claims to be exceptional at basketball and can make 90% of free throws. You watch him at the gym for a week and find out that he makes 64 shots out of 176 attempts.

Don’t do any calculations here. Just give a quick look at his results and claim, and then a statement about whether it backs up Hamad’s claim. Please write a complete sentence (or more).

2. In each situation, determine whether you should reject or fail to reject H₀.

a.         p-value = 0.15, α = 0.10                      b.         p-value = 0.015, α = 0.02

c.         z = 2.345, critical value = 1.645          d.         test statistic = -2.56, critical value = 1.96

3. Yolanda thinks she can roll a 1 on a 6-sided die more often than chance would predict. Write hypotheses to test this. Be sure to define p in words (p = the proportion of…).

4. Test 2: The Japanese harvester beetle has infected several forests in the Northwest. Official estimates are that 17% of trees are infected. You are a park ranger who has been seeing a lot of these beetles lately, and you think the rate is higher in your area. You check 400 trees around your cabin and find that 79 of them are infected.

• Go through the steps on the Hypothesis Test Guide (D2L). List each step like Step 1, Step 2, etc.
• Please check the conditions using complete sentences.
• Please do the calculations out the long way, but definitely use GeoGebra or a calculator stats package to check.
• Even if the conditions aren’t met, do the rest anyway.
• Use α = 0.03