Retirement plans, are divided into two phases: the payments periods and the pension periods. The participants pay an ordinary annuity during the payment period (say for n₁ years) where upon retirement they are paid an annual retirement pension. Assume the average pension period is n₂ years. If a retirement organization believes that the participants should pay one tenth of as much as they should get as pension every year, what is the value of n₁ and n₂ that keeps the cash flow of the two periods balanced at a discount rate of 10%. Suppose that the sum of payment and pension periods is 50 years.

Problem 1

An investigator is interested in knowing whether managers who were raised under authoritarian child-rearing practices are more authoritarian in their management practices than those raised in more democratic home backgrounds. He gets 300 managers to complete questionnaires that indicate the sort of child-rearing practices they experienced. From the results, it was possible to divide the 300 managers into 170 who came from democratic homes and 130 from authoritarian homes. The management practices of these two groups were assessed using rating scales completed by their subordinates.

Which statistical test of differences should be used in this study? Why?

Should a one- or two-tailed test be applied? Why?

What is the null hypothesis that is being tested?

If the researcher sets a criterion significance level of p<.001 prior to conducting the study and obtains p of exactly .01, what statement is made about the rejection or retention of the null hypothesis?

Given the information about significance in (d) above is Type I or Type II error more likely?

Use the following information to answer the next four questions.

The cash flows for two mutually exclusive projects are shown in the following table. Investors require a 16% rate of return for each project.

Find the profitability index for project S. Round intermediate steps and your final answer to four decimals.

QUESTION 14

Which project or projects would you take based on the profitability index?

QUESTION 15

Find the crossover rate. Round your final answer to four decimals and enter it in decimal format (.XXXX)  

QUESTION 16

Find project T's MIRR. Round intermediate steps and your final answer to four decimals. Enter your answer in decimal format (ex: .XXXX).

In this scenario, explain which trait will be favored by natural selection and why. If you think particular numbers do or do not matter, your answer should explain why they do or do not matter (in other words, show your work).

Organisms of species Beta live in family units consisting of a mother and all her children who always share the same father. Sometimes there are 2 children, sometimes 3, sometimes 7, etc. On average, the group consists of 5 individuals. When a predator attacks, there are two possible strategies:

Strategy A is to simply run away. If you do so, the chance of being killed yourself is 5% and the chance of some other member of your group being killed is 80%. There is a 15% chance you will all get away.

Strategy B is to send up an alarm call warning everyone in your group. The chance of being killed yourself is now 10% but there is only a 40% chance of someone else in your group being killed and a 50% chance that you will all get away.

Will natural selection favor strategy A or strategy B?

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

  Click here for the Excel Data File

1. Determine the standard error of estimate. (Round your answer to 3 decimal places.)

2. Determine the coefficient of determination. (Round your answer to 2 decimal places.)

3. Interpret the coefficient of determination. (Round your answer to the nearest whole number.)

The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and it selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

The regression equation is Ŷ=11.18-0.49X, the sample size is 12 and the standard error of the slope is 0.23. Use the .05 significance level. Can we conclude that the slope of the regression line is less than zero?

(NEED ALL THE WORKINGS AND STEP)

1-way ANOVA test

A researcher hypothesized that if people were to use his newly-developed caffeine pill, that they would have more energy and have a better attention span throughout the day, but not feel jittery at night. To test his hypothesis, he gathered 30 participants and randomly assigned them to one of 3 conditions: a placebo condition (0mg) in which they were given a sugar pill, a 50mg condition, or a 100mg condition. Each participant was made to stay awake the night before and given one of the three pills to take the next morning. That night, the participants were asked to rate their energy level from 1 (no energy) to 10 (high energy).

Data Set:

Pharoah Innovations, Inc. produces exercise and fitness gear. Two of its newer products require a finishing process that can only be completed on machines that were recently purchased for this purpose. The machines have a maximum capacity of 10,500 machine hours, and no other products that the company makes use these machines.

Sarah Jacob, the company’s operations manager, is preparing the production schedule for the coming month and can’t seem to find enough machine time to produce enough units to meet the customer demand that the marketing department has included in the sales budget.

Michael Stoner, the company’s controller, has gathered the following information about the two products:

(a)

Correct answer iconYour answer is correct.

Calculate the total number of machine hours needed to produce enough units to meet the sales demand for the two products.

eTextbook and Media

Attempts: 1 of 3 used

(b)

How should Sarah allocate the 10,500 available machine hours between the two products so that Pharoah maximizes its profits?

1. Two Rules (504 and 506) under Reg D relate to the (a) amount of offerings and (b) number of investors. Match Rules 504, 506, or “none” with each of the following:
   1. $5 million offering limit (in a 12 month period)
   2. $5 million offering limit (in a 12 month period)
   3. No limit on the amount of offering (in a 12 month period)
   4. No limit on the number of investors
   5. No limit on number of accredited investors; limit of thirty-five unaccredited investors