5. Amy, who is thirty seven years old, is a single mother with two children. Amy is employed as a

laboratory chemist with a national company. She is in good health. Her son Jimmy, age five, is

an active and healthy boy. Lane, her daughter, is an inquisitive and healthy eight-year-old girl.

Amy has come to you for advice about choosing the most appropriate health insurance plan for

her family, as well as preparing for future health insurance issues.

a. If Amy decides to join an HDHP at her work, what must she also contribute to at that time?

b. What factors should Amy consider when deciding to use an HDHP with an HSA?

c. Amy is wondering which of the following events will allow her to change her employersponsored

FSA election: (a) She gets married, (b) she adopts a baby, (c) her son is admitted

to a hospital for surgery, or if she is married and her spouse is fired from his job.

d. If Amy uses an HDHP plan, with an HSA, may she contribute to a health care FSA? May she

contribute to a dependent care FSA?

e. Although Amy is too young to purchase a Medigap or Medicare SELECT plan, she would

like to learn more about these policies for when she retires. If she were to purchase a

Medigap policy, she would want the policy to cover very large, unexpected, and catastrophic

expenses. She is also interested in a lower price plan. What plan would be appropriate for

Amy (select from one of the standard plans)?

f. When would it make sense for Amy to purchase a specified disease policy?

g. What health factors should be monitored as an element of the comprehensive financial

planning process?

h. At which age will Amy trigger a qualifying event under COBRA?

i. Health care coverage is a primary concern for many single mothers. The idea of being

without adequate insurance to cover health expenses for children is a worry for many. What

options are available to Amy should she accept a position at another firm and be without

coverage for a short period of time?

We anticipate that deadly two vehicle motorcycle accidents occur at the same frequency on all seven days of the week. However, is this true? The table shows the number of two-vehicle crashes including a motorbike and a passenger vehicle, with day of week, in a random sample of 1,792 accidents

A.What is the null and the alternative hypothesis.

B.Find the χ2 statistic and the degrees of freedom.

C.Use the critical value way to find the P-value with a significance level of α=0.05

D.What is the conclusion

Sony corporation conducts a study in which a sample of 44 employees is selected from one site with a population standard deviation of 3.3. The sample mean weight of the employees is 101.5kg. A sample of 46 employees is selected from a second site with a population standard deviation of 5.0kg. The sample mean weight of the employees is 99.9. Conduct the following test of hypothesis using the 0.10 significance level.

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

1. Is this a one-tailed or a two-tailed test?

• One-tailed test

• Two-tailed test

2. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

3. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

5. What is the p-value? (Round your answer to 4 decimal places.)

1. (a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7, find P (A or B).

(b) A randomly selected student takes Biology or Math with probability 0.8, takes Biology and Math with probability 0.3, and takes Biology with probability 0.5. Find the probability of taking Math.

2. A box contains 4 blue, 6 red and 8 green chips.

1. In how many different ways can you select 2 blue, 3 red and 5 green chips? (Give the exact numerical value).

2. Draw two chips in a row without replacement. Find the probability that both chips are green.

3. Based on the following table, compute the probabilities below:

P (Women and Yes) =

P (Men | Yes) =

P (No | Women) =

P (Men or No) =

Are Men and No Opinion mutually exclusive?

Are Men and No Opinion independent? Justify your answer by an appropriate computation.

Question 4: The HR department of a large company needs to assign a newly hired director to either their marketing development or their marketing operations division. To help in their decision, they organize two discussion groups with randomly selected employees from each division. During the talks, the director lays out his marketing vision and employees ask questions relevant to their daily work. At the end, each employee has to rate the director on a scale from 1 to 10 (1=very bad; 10=very good). The HR department wants to know if the distribution of ratings of the marketing development employees is different among the employees of the two divisions. Ratings data for the two groups of employees are included in the Minitab file HR_Ratings.mtw and in the Excel file Assign2.xlsx under the HR_Ratings tab.

a) Examine the distributions of the ratings (show histograms) by the two groups of employees and explain why a non-parametric test is justified to perform the analysis.

b) Perform an appropriate non-parametric test using a 5% significance level to determine if the distribution of ratings of the marketing development employees is different than that of the marketing operations employees. Specify any assumptions and/or conditions you need to make to apply the test and state your hypothesis clearly. Show your manual calculations.

c) Use Minitab to perform the test in b) above and compare your results here is the data for HR_Ratings.mtw

Datafrom HR_Ratings.wtw below

Question 18 options:

(Estimated time allowance: 40-50 minutes)

HL Construction Co. plans to replace one of its manufacturing equipment for a newer more technology-advance one. The new equipment has a purchase price of $8,000 and will be depreciated as a 7-year class for MACRS. Installation costs for the new equipment are $200. It is estimated that this equipment can be sold in 4 years (end of project) for $5,000. This new equipment is more efficient than the existing one and thus savings before taxes using the new equipment are $4,000 a year. Because of the advance technology of new equipment, there will be a reduction in inventory of $400 today and which will be reverted at the end of the project in year 4.

This existing equipment was purchased 2 years ago at a base price of $3,000. Installation costs at the time for this old equipment were $100. The existing equipment is considered also 7-year class for MACRS. The existing equipment can be sold today for $1,000 and for $0 in 4 years. The company's marginal tax rate is 30% and the cost of capital is 10%.

Answer the 7 questions below.

For your answer, round to the nearest dollar, do not enter the $ sign, use commas to separate thousands, use a negative sign in front of first number is the cash flow is negative (do not use parenthesis to indicate negative cash flows). For example, if your answer is $3,005.87 then enter 3,006; if your answer is -$1,200.25 then enter -1,200

1. What is today's remaining book value of existing equipment?

2. What is the project's initial cash flows (initial outlay: IO) at Year 0?

3. What is the incremental net operating profit (ΔNOPAT) for Year 4 of this replacement project?

4. What is the incremental cash flow (ΔFCF also known as ΔOCF) for Year 4?

5. What is the cash flow due to tax on salvage value of new equipment at Year 4? If this is a cash outflow put the negative sign (-) in front of the value ** do not use parentheses. If it is a cash inflow, then just enter the number

6. What is the after tax salvage value of the new equipment at Year 4?

7. What is the project's total incremental cash flow for Year 4?

Question 6 (a) A hospital cafeteria proposes to serve 4 main entrees. For planning purposes, the manager expects that the proportions of each that will be selected by his customers will be: Selection Proportion Chicken 0.4 Roast beef 0.2 Steak 0.1 Fish 0.3 Of the first 100 customers, 44 selected chicken, 25 selected roast beef, 13 select steak, and 18 selected fish. Should the manager revise his estimates? Use α= 0.01.

(b) Five brands of orange juice are displayed side by side in several supermarkets in Hobart. It was noted that in one day, 180 customers purchased orange juice. Of these, 30 picked Brand A, 40 picked Brand B, 25 picked Brand C, 35 picked Brand D, and 50 picked Brand E. In this city, can you conclude at the 5% significance level that there is a preferred brand of orange juice? (9 marks

Problem 2

You are curious about whether you can enhance the ability to hear differences between nonnative speech sounds when people learn a new language. You test your novel language training procedure on a group of 32 pariticipants using a pretest/posttest design. The pretest and the posttest measure performance as the number of correct trials out of 100. The data are shown on the right. Does the new language training procedure improve the perception of nonnative speech sounds?

Use the four-step hypothesis testing procedure described in class, formatted as in the sample assignment. In addition, calculate 1) the effect size and 2) confidence interval associated with the data. Show your work.

1) The following data shows the yearly production data collected from firms in XYZ state and ABC state.

1) Calculate:

• the coefficient of variation for XYZ and ABC
• the interquartile range for XYZ and ABC
• the median for XYZ and ABC
• the mode for XYZ and ABC
• the variance for XYZ and ABC
• mean deviation from the mean for XYZ and ABC

The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below:

1. Identify the decision variables, objective function, and constraints in simple verbal statements.

2. Mathematically formulate a linear optimization model.

3. Please show Step 2 in Excel