Jorge was at the park playing with friends. He found a typical die with 6 sides on the ground. He took it home and rolled it 100 times and recorded the results (found in the table below). He wanted to see if the die was a 'fair die' or if it was weighted on one side so somone could cheat when playing games!

Is this a 'fair die' or has it been tampered with? Test at the α=0.05 level of significance.

Which would be correct hypotheses for this test?

H0:μ1=μ2

; H1:μ1≠μ2
H0:
The die is a fair die; H1:
The die has been tampered with
H0:p1=p2
; H1:p1≠p2
H0:
The die has been tampered with; H1:

The die is a fair die

Roll count:

Rolled   Count
1   1
2   5
3   4
4   6
5   9
6   75

Test Statistic:

Give the P-value:

Which is the correct result:

Reject the Null Hypothesis
Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?

There is enough evidence to suggest that the die has been tampered with.
There is not enough evidence to suggest that the die has been tampered with.

Adjusted WACC. ​ Hollydale's is a clothing store in East Park. It paid an annual dividend of ​$1.20 last year to its shareholders and plans to increase the dividend annually at 3.0​%. It has 590 comma 000 shares outstanding. The shares currently sell for ​$17.37 per share. ​ Hollydale's has 11 comma 000 semiannual bonds outstanding with a coupon rate of 6​%, a maturity of 24 ​years, and a par value of ​$1 comma 000. The bonds are currently selling for ​$638.46 per bond. What is the adjusted WACC for​ Hollydale's if the corporate tax rate is 40​%?

A new roller coaster at an amusement park requires individuals to be at least​ 4' 8"

​(56 inches) tall to ride. It is estimated that the heights of​ 10-year-old boys are normally distributed with

mu equals μ=55.0 inches and sigma equals σ=4 inches.

a. What proportion of​ 10-year-old boys is tall enough to ride the​ coaster?

b. A smaller coaster has a height requirement of

50 inches to ride. What proportion of​ 10-year-old boys is tall enough to ride this​ coaster?

c. What proportion of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a?

A pair of bumper cars in an amusement park ride collide elastically as one approaches the other directly from the rear, as seen in part (a) of the figure below. ((a) before collision, (b) after collision) One has a mass of m1 = 462 kg and the other m2 = 546 kg, owing to differences in passenger mass. If the lighter one approaches at v1 = 4.48 m/s and the other is moving at v2 = 3.63 m/s, calculate the velocity of the lighter car after the collision.

Calculate the velocity of the heavier car after the collision.

Calculate the change in momentum of the lighter car.

Calculate the change in momentum of the heavier car.

(a) Have you ever visited an amusement park and taken a ride on a parachute drop ride? These types of rides take the passengers to a great height, and then drop them in free fall. Before they hit the ground, the ride is slowed using a Lenz’s law mechanism thus avoiding certain death. For this discussion, first locate a photo of one of these rides (either one you’ve personally experienced or one you might like to try someday), and in your initial post, upload the photo and respond to the following:

• Explain how Lenz’s law applies to this situation.
• Why is the Lenz’s law mechanism ideal for such a use?
• What other mechanisms can be used to slow the descent? Compare and contrast these options with the Lenz’s law mechanism.

(b) As you have learned, an electromagnet is a magnet that is produced by electric current. Think about how electromagnets are used and what you have seen or heard of them being used for. In your initial discussion post, respond to the following:

• Which of the principles or laws discussed in this module explain how an electromagnet works?
• Describe in detail two modern applications of electromagnets. Do these electromagnets draw a large amount of current or a little? How do you know? What supplies that current?
• Why do you think electromagnets are used in these different ways?
• What is the advantage of using an electromagnet rather than a permanent magnet?

a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child?

YesNo     

(b) Is the mass of the child a factor in determining his speed at the bottom of the slide?

YesNo     

(c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level?

following the curved rampdropping straight down     same speed in either case

(d) If friction is present, how would the conservation-of-energy equation be modified?


(e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 13.5 m. (Assume the child is initially at rest.)
m/s

Water Planet is considering purchasing a water park in Miami, Florida​, for $ 2,100,000. The new facility will generate annual net cash inflows of $ 535,000 for eight years. Engineers estimate that the facility will remain useful for eight years and have no residual value. The company uses​ straight-line depreciation. Its owners want payback in less than five years and an ARR of 10​% or more. Management uses a 12% hurdle rate on investments of this nature.

.

Requirement 1. Compute the payback​ period, the​ ARR, the​ NPV, and the approximate IRR of this investment.​ (If you use the tables to compute the​ IRR, answer with the closest interest rate shown in the​ tables.) ​(Round the payback period to one decimal​ place.)

​(Round the percentage to the nearest tenth​ percent.)

​(Round your answer to the nearest whole​ dollar.)

The IRR​ (internal rate of​ return) is between

.

Requirement 2. Recommend whether the company should invest in this project.

Detmer Liebold uses a job-order costing system with a single predetermined overhead rate based on direct labor hours. The predetermined overhead rate is based on the following data: Total direct labor hours 70,000

Total fixed overhead cost 273,000

Variable manufacturing overhead per direct labor hour $6.00

Job 924 was recently completed with the following characteristics.

Number of units produced 50

Total direct labor hours 100 Direct materials $680

Direct labor cost $7,000

Complete the following table to calculate the unit product cost for Job 924:

Account                                                                            Amount                                               Calculations

Total fixed manufacturing overhead cost

+ Total variable manufacturing overhead cost

Total manufacturing overhead cost

/ Direct labor hours

Predetermined overhead rate

Direct materials

Direct labor

Manufacturing overhead applied

Total cost of Job 924

Total cost of Job 924    From calculation above

/ Number of units produced Unit product cost for Job 924

For each scenarios below "hr strategy: responding to a union organizing drive, assume that the union won and is now bargaining for a contract.

As a local union leader developing a strike contingency plan, what particular concerns should you have in each scenario?

ACME AUTO PARTS Acme Auto Parts is a small nonunion manufacturer of auto parts located in a small town in the South. The work is repetitive and routine. There are no particular skill or educational requirements for the production employees. Acme sells nearly all its parts to the Big Three automakers (Ford, General Motors, and Chrysler) according to the specifications they provide. The highly unionized Big Three have largely outsourced the manufacturing of parts. Many of their traditional parts suppliers have closed their unionized operations in Michigan and opened nonunion plants in the South and in Mexico. The Big Three, however, continue to face competitive cost pressures from the Japanese car companies and therefore are continually trying to wring cost concessions from their suppliers. The parts workers at various companies that are still represented by the United Auto Workers (UAW) face demands for concessions during every contract negotiation. The UAW is therefore trying to organize the nonunion parts factories. You have seen UAW organizers in town trying to contact Acme workers for the past few weeks. This morning you overheard two workers talking about the UAW.

THE ZINNIA The Zinnia is a 300-room hotel in the central business district of a major Midwestern metropolitan area. This is a full-service hotel—a hotel providing a wide variety of services including food and beverage facilities and meeting rooms—that caters to individual business travelers, convention attendees, and local businesspeople who need meeting space. The Zinnia emphasizes outstanding service and amenities and is owned by a prominent local real estate magnate, Ms. Lucy Baldercash, who closely monitors the management and financial performance of her diversified properties. Many of this city’s major hotels are unionized, and the Zinnia’s wage rates are equal to the local union wage scale. You feel that while the Zinnia’s employee benefit package is modest compared to what the union has been able to extract from your unionized competitors, it is competitive with other low-skilled occupations in the area—and is particularly generous for the undocumented immigrants that you have quietly hired to fill the dishwashing and room cleaning positions. You also feel that your unionized competitors are saddled with myriad work rules that restrict flexibility. The local union organizes aggressively and isn’t afraid to have public marches and demonstrations in support of its goal of social justice. But you thought your workers were content, and you were astonished to learn this morning that Zinnia workers have been quietly signing authorization cards. You received notice from the NLRB that a petition was filed by the local hotel union requesting an election covering back-of-the-house workers (kitchen, laundry, and room cleaning employees—not front-of-the-house employees like bellhops, bartenders, and waitresses) and that this petition was supported by signed authorization cards from 40 percent of the workers.

SCHOOL DISTRICT 273 School District 273 is a medium-sized public school district in a Northeastern state with a comprehensive bargaining law that includes teachers. The bargaining law allows strikes (except for police, firefighters, and prison guards) and also allows unions to be recognized through a card check recognition procedure if the employer does not object. Otherwise a representation election will be conducted when a petition is supported by 30 percent signed authorization cards. No employees in District 273 are represented by a union, though teachers in many neighboring districts are. District 273 receives 75 percent of its funding from the state based on a statewide per-student funding formula; the remainder comes from local property taxes and fees. To balance the state budget, school funding was reduced by 10 percent. School budgets are also being squeezed by rising health care costs. And teachers are frustrated by the state’s emphasis on standardized test scores; they feel they are losing control over educational standards and curriculum. A grassroots unionization effort started among some teachers at the district’s high school near the beginning of the school year. It is now the middle of the school year, and the leaders of this grassroots effort—which they are now calling the District 273 Teacher’s Association—claim to have signed authorization cards from 70 percent of the teachers, including large numbers at all the district’s schools. They have asked the school board to voluntarily recognize their union and schedule bargaining sessions to hear their concerns and negotiate a contract that preserves teachers’ input into the educational process.

WOODVILLE HEALTHCARE Woodville HealthCare is a for-profit health care provider formed through the merger of several networks of physicians. It operates 50 managed care clinics and employs 400 doctors in the West. The merger has resulted in a Page 228major restructuring of operations. Several clinics have been closed, and a number of new operating guidelines have been implemented. Doctors are now required to see more patients; specialty medical procedures and nongeneric prescriptions must be approved by the medical authorization department; and expensive procedures can negatively affect a doctor’s salary. Some doctors contacted a national doctors’ union that is affiliated with one of the largest U.S. unions, and an organizing drive was launched. After a petition was filed with the NLRB, Woodville filed objections and argued that the doctors were supervisors and therefore excluded from the NLRA. The NLRB eventually ruled that 100 of the doctors had supervisory responsibilities, but that 300 were nonmanagerial doctors. Woodville then spent $300,000 (plus staff time) on an antiunion campaign leading up to last week’s election for the 300 nonmanagerial doctors. The election results were 142 voting in favor of the union, 128 against. This is a slim seven-vote margin, and you have until tomorrow to decide whether to appeal the results of the election by filing objections with the NLRB. Several days before the election, the union’s website reported salary figures for Woodville’s top executives that were grossly inflated. You have also investigated several allegations of inappropriate union campaigning on the day of the election but have uncovered only weak evidence. Your attorney predicts that there is a 20 percent chance an appeal would succeed.