. Many people believe that having more money will make them happy. Dr. Shakespeare designed an experiment in which he randomly and evenly assigned 15 people to three groups. He gave one group nothing, gave the second group a little money, and gave the third group a lot of money. The next day, he asked each group to report their happiness on a mood scale (0-100 with a higher score indicating happier mood). The first group reported an average of 80, the second 90, and the third group 85. Using the SS total provided in the following table to examine if the amount of money has an effect on the perceived happiness (make sure to fill out the ANOVA table). If yes, how? (14pts)

Buzz Bee Yard Company’ Apiary began operations on January 1, 2020, with the purchase of 100 bee hives for $500 total. Buzz follows IFRS and its standard on agricultural products. It has completed the first year of operations and has the following information for its bee hives at December 31, 2020:

1. Bee Hives – purchase of hives as per above                                                                 $   500
2. Honey harvested during 2020 (at net realizable value)                                         1,900                  
3. Honey sold during 2020 (at net realizable value)                                                    1,600
4. Hive maintenance costs directly traceable to hive activity in year                      $60        
5. Company general administration costs                                                                           $40
6. Fair value on Dec. 31, 2020 of hives                                                                              $1,300    

Required:

1. Prepare all the journal entries for Buzz’s bee hives activities for 2020, as per the information in (a) to (f).

For all U.S. students nationally who take the SAT, SAT Math scores are normally distributed with an average score of 500 for all U.S. students . A random sample of 100 students entering Whitmer College had an average SAT Math (SAT-M) score of 520 and a sample standard deviation of 120. The sample data can be used to test the claim that the mean SAT-M score of all Whitmer College students is different than the national mean SAT-M score. Based on the given information, use the appropriate formula and the provided Standard Normal Table (Z table). Determine the p-value for this two-sided hypothesis test. You will need to calculate the test statistic first. Enter the p-value in the space below as a decimal rounded to four decimal places:

Assume the following:

You buy some equipment today for $100 to produce and sell balloons.

you invest $25 in working capital today to support your sales efforts.

The business produces after tax cash flow of $30 per year for 5 years. All cash flows occur on the last day of the year.

You close the business at the end of 5 years and sell the equipment for $50 (it had been depreciated to $20; your tax rate is 33.33%)

You liquidate the working capital at the end of the first year as well.

Assume a 10% discount rate

Is this a good project? What is the present value of all of the combined cash flows?

Question 15 options:

Problem 3.6 Transaction Analysis, T Accounts and Trial Balance

** Alternative to Problem 3.5 Pradeep and Selvam set up Venus Photoshop Company in December 20XX. The transactions in the first month were as follows:

(a) Pradeep and Selvam invested cash in the company's share capital, 2,500 each.

(b) Took a bank loan, 31,000.

(c) Paid insurance for the month, 60.

(d) Bought supplies on credit, 350.

(e) Billed customers for services, *2,300.

(f) Used supplies, *270.

(g) Paid equipment rent for the month, 500.

(h) Collected receivables, 21,900.

(i) Repaid bank loan, 700.

j) Paid interest on bank loan, 100.

(k) Paid a dividend, *200.

Required

1. Record the transactions directly in the accounts.

2. Prepare the December 31 trial balance.

Consider the projectile motion of two balls. Ball A is launched horizontally (no vertical component of velocity) with an initial speed of 100 m/s from an initial position 1 m above the ground. Ball B is launched straight upward (no horizontal component of velocity) with an initial speed of 1 m/s from an initial position 0.5 m above the ground. The two balls are launched at the same time. Assume that air resistance doesn’t matter in this problem and assume the ground is perfectly flat.

a) What is the horizontal component of velocity for each ball when they hit the ground?

b) What is the vertical position of ball B when it reaches its maximum height?

c) What time does ball B reach its maximum height?

d) Which ball reaches the ground first?

Explain the impact of the steepening of the yield curve on two bonds portfolios. Both portfolios have equal Macaulay’s duration. The first portfolio is designed as a bullet (100% allocation to the mid-maturity in the yield curve) and the other as a barbell (allocation split between the short and the long maturities in the yield curve). You must demonstrate your answer with an example.

1. Explain the bullet and barbell strategy and why investor are indifferent between choosing one or the other when no expectations regarding changes in the terms structure.

2. Explain the link between yield curve flattening or steepening on the two investment strategies.

3. Show using an example: create the two portfolios and ensure durations are matched.

4. Explain how when yield curve flattens/steepens the effect on the two strategies.

You are planning a study of attitudes to the length of jail sentences for homicide, using a scale running from –4 to +4, where 0 indicates a judgment that current sentences are about right. Previous research suggests that the population SD for the scale is 1.2. You plan to use a single sample and would like to be able to detect a true effect of 0.5 scale units, using α = .01. If you use N = 100, using the same scale to compare attitudes in two very different neighborhoods. You would like to be able to detect a difference of 0.3 scale units. Consider power and make recommendations.

This is an exercise problem in one of the textbook by Geoff Cummings, Understanding The New Statistics, this is the first problem of chapter 12. This is all the information that it has and I must come with an answer regarding power and recommendations.

1. A tank starts with 100 litres of water and 1,000 bacteria in it. For now we assume the bacteria do not reproduce. Let B(t) be the number of bacteria in the tank as a function of time, where t is in hours. For each of the situations below, write down a first order differential equation satisfied by B(t), of the form dB dt = f(t, B). You DO NOT need to solve it.

(a) A little goblin is pouring bacteria into the tank at a rate of 2020 bacteria per hour.

(b) Like part (a), but we are also draining the tank at a rate of 3 litres per hour.

(c) Like part (b), but now the bacteria are reproducing. Suppose that the bacteria will double the present population in every hour. A gentle reminder: make sure that you write down the meaning of each term.