We want to investigate now whether the average occupancy rate in May differs across the three regions.2.1 State the null and alternative hypotheses for the above research question.2.2 Conduct a Levene test for the homogeneity of the variances at the 10% level using the absolute deviations from the median. Make sure you state both the null and alternative hypotheses and the conclusions of your test.2.3 Test the null hypothesis in 1.1 at the 10% significance level.2.4 What can you conclude from the above test in 2.3? Explain the importance of the results in 2.2 for the procedure you performed in 2.3.

region id 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3

A basketball player shoots 3 free throws. On each throw, she has a 70% chance of making the shot. Assume the outcomes of the throws are independent. What is the probability that she makes the first two free throws and then misses the last one?

Customers arrive at a service center according to a Poisson process with a mean interarrival

time of 15 minutes.

1. If two customers were observed to have arrived in the first hour, what is the probability that at least

   one arrived in the last 10 minutes of that hour?

Refer to the information in the table that follows to answer the question that follows:

Calculate the marginal propensity to save (MPS)?

Select one:

a. 0.2

b. Cannot be determined from the information available

c. 0.8

d. 0.1

Refer to the information in the table that follows to answer the question that follows: (Difficult Question)

If taxes are reduced from 100 to 25, then calculate the CHANGE in the equilibrium level of income?

Select one:

a. -1800

b. 75

c. 450

d. 675

Refer to the information in the table that follows to answer the question that follows:

The economy is at the equilibrium level of output. If government spending increases by 250 (from 200 to 450), then calculate the new equilibrium level of output?

Select one:

a. 5400

b. 450

c. 3650

d. 5900

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 $12.173 million, and it faces a 30% federal-plus-state tax rate. The market risk premium is 4%, and the risk-free rate is 4%. 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 8%. BEA has a beta of 1.2.

What is the total value of the firm with 40% debt? Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Do not round intermediate calculations. Round your answer to three decimal places.
$   million

1. What is BEA's unlevered beta? Use market value D/S (which is the same as w_d/w_s) when unlevering. Do not round intermediate calculations. Round your answer to two decimal places.
2. What are BEA's new beta and cost of equity if it has 40% debt? Do not round intermediate calculations. Round your answers to two decimal places.
   Beta:  
   Cost of equity:   %
3. What are BEA’s WACC and total value of the firm with 40% debt? Do not round intermediate calculations. Round your answer to two decimal places.
     %

​Beryl's Iced Tea currently rents a bottling machine for $ 54 comma 000 per​ year, including all maintenance expenses. It is considering purchasing a machine instead and is comparing two​ options: a. Purchase the machine it is currently renting for $ 160 comma 000. This machine will require $ 24 comma 000 per year in ongoing maintenance expenses. b. Purchase a​ new, more advanced machine for $ 265 comma 000. This machine will require $ 20 comma 000 per year in ongoing maintenance expenses and will lower bottling costs by $ 11 comma 000 per year.​ Also, $ 40 comma 000 will be spent up front to train the new operators of the machine. Suppose the appropriate discount rate is 7 % per year and the machine is purchased today. Maintenance and bottling costs are paid at the end of each​ year, as is the cost of the rental machine. Assume also that the machines will be depreciated via the​ straight-line method over seven years and that they have a​ 10-year life with a negligible salvage value. The marginal corporate tax rate is 35 %. Should​ Beryl's Iced Tea continue to​ rent, purchase its current​ machine, or purchase the advanced​ machine? To make this​ decision, calculate the NPV of the FCF associated with each alternative.

​Beryl's Iced Tea currently rents a bottling machine for $ 52 comma 000 per​ year, including all maintenance expenses. It is considering purchasing a machine instead and is comparing two​ options: a. Purchase the machine it is currently renting for $ 165 comma 000. This machine will require $ 21 comma 000 per year in ongoing maintenance expenses. b. Purchase a​ new, more advanced machine for $ 265 comma 000. This machine will require $ 18 comma 000 per year in ongoing maintenance expenses and will lower bottling costs by $ 13 comma 000 per year.​ Also, $ 37 comma 000 will be spent up front to train the new operators of the machine. Suppose the appropriate discount rate is 7 % per year and the machine is purchased today. Maintenance and bottling costs are paid at the end of each​ year, as is the cost of the rental machine. Assume also that the machines will be depreciated via the​ straight-line method over seven years and that they have a​ 10-year life with a negligible salvage value. The marginal corporate tax rate is 40 %. Should​ Beryl's Iced Tea continue to​ rent, purchase its current​ machine, or purchase the advanced​ machine? To make this​ decision, calculate the NPV of the FCF associated with each alternative.

Assume that you want to play a game called “who is the murderer?” with a total of seven suspects including Angelina, Boris, Chris, Dillon, Eve, Frank, and Gunther. Among them, Angelina and Eve are girls and all the other five suspects are boys. According to the polygraph and some other technology tools, you are sure about the following clues. • The number of murders is either one or two; • All the murderer(s) must be among them; • If Angelina is the murderer, the number of murderers is two; • If Chris is a murderer, so is Frank; • At least one of the girls is innocent; • If Frank is a murderer, so is Eve; • If both Gunther and Boris are innocent, Angelina is a murderer; • If Dillon is innocent, so is Gunther; • If both Chris and Dillon are innocent, so is Boris; • Angelina and Dillon cannot be both murderers; • If Dillon is a murderer, either Boris is a murderer or Gunther is innocent; • If Eve is murderer, either Chris is a murderer or Boris is innocent. Now, who did it? Why?