For the population of Marionasty agents, let X = {Gun Type} and Y = {Knife Type}.“You found that bullet,” marveled Dr. Witless, “hidden in the victim’s auditory canal?” “Alimentary, my dear Witless,” the mirthful Hopeless did grin, “alimentary!”

                                      Knives

a. Do these data provide strong evidence that the proportion of agents who carry

switchblades is less than one quarter?

i. Test the hypothesis that less than one quarter of agents carry switchblades;

ii. Find a comparable confidence interval for the proportion of agents who carry

switchblades;

iii. Compare your interval and test results.

b. Use these data to test the hypothesis that there is an association between

the types of knives and guns that Marionasty agents carry.

The management at Sage National Bank located in Key West, Florida, is calculating the key capital adequacy ratios for its third-quarter reports. At quarter-end, the bank’s total assets are $90 million and its total risk-weighted assets including off-balance-sheet items are $80 million. Tier 1 capital items sum to $4 million, while Tier 2 capital items total $2.5 million. Calculate Sage National’s leverage ratio, total capital-to-total assets, core capital-to-total risk-weighted assets, and total capital-to-total risk-weighted assets. Does Sage National meet the requirement stipulated for a bank to qualify as adequately capitalized? In which of the five capital adequacy categories created by U.S. federal regulators for PCA purposes does Sage National fall? Is Sage National subject to any regulatory restrictions given its capital adequacy category?

Your daughter just turned 4 years old. You anticipate she will start University when she turns 18. You would like to have funds in a registered education savings plan (RESP) to fund her education at that time. You anticipate she will spend 6 years in university, and it will cost $20,000 per year. She will need the $20,000 at the start of each school year. When she graduates (debt free) you would also like her to have $40,000 for a down payment on a condo or to travel. If the account promises to pay a fixed interest rate (APR) of 6% per year with monthly compounding, how much money do you have to deposit each quarter to ensure you will have enough when she starts university? Assume you will make the same deposit at the end of each quarter until she starts university.

For the population of Marionasty agents, let X = {Gun Type} and Y = {Knife Type}.“You found that bullet,” marveled Dr. Witless, “hidden in the victim’s auditory canal?” “Alimentary, my dear Witless,” the mirthful Hopeless did grin, “alimentary!”

                                      Knives

a. Do these data provide strong that the proportion of agents who carry

switchblades is less than one quarter?

i. Test the hypothesis that less than one quarter of agents carry switchblades;

ii. Find a comparable confidence interval for the proportion of agents who carry

switchblades;

iii. Compare your interval and test results.

b. Use these data to test the hypothesis that there is an association between

the types of knives and guns that Marionasty agents carry.

The quarterly sales data (number of copies sold) for a college textbook over the past three years follow. Quarter Year 1 Year 2 Year 3 1 1690 1800 1850 2 940 900 1100 3 2625 2900 2930 4 2500 2360 2615

a. Construct a time series plot. What type of pattern exists in the data?

b. Show the four-quarter and centered moving average values for this time series.

c. Compute the seasonal and adjusted seasonal indexes for the four quarters.

d. When does the publisher have the largest seasonal index? Does this result appear reasonable? Explain.

e. Deseasonalize the time series.

f. Compute the linear trend equation for the de-seasonalized data and forecast sales using the linear trend equation. g. Adjust the linear trend forecasts using the adjusted seasonal indexes computed in part (c).

EXERCISE 8–1 Schedule of Expected Cash Collections LO8–2 Silver Company makes a product that is very popular as a Mother’s Day gift. Thus, peak sales occur in May of each year, as shown in the company’s sales budget for the second quarter given below:

From past experience, the company has learned that 20% of a month’s sales are collected in the month of sale, another 70% are collected in the month following sale, and the remaining 10% are collected in the second month following sale. Bad debts are negligible and can be ignored. February sales totaled $230,000, and March sales totaled $260,000. Required:

1. Using Schedule 1 as your guide, prepare a schedule of expected cash collections from sales, by month and in total, for the second quarter.

2. What is the accounts receivable balance on June 30th?

Production of Product B has been budgeted at 2,000, 1,800, 1,600, and 1,700 units for October, November, December, and January, respectively. One unit of Product B requires 2 pounds of raw material at $5 per pound. Required ending inventory for raw materials is 25% of the next month's demand. Raw material inventory at 9/30 is 1,000 pounds. 70% of material purchases is paid in the month of purchase, with the remaining 30% paid in the month after purchase. The A/P balance at 9/30 is $5,400. How many pounds of material is budgeted to be purchased during the last quarter of the year?

Budgeted payment of A/P during the last quarter is?

1.Short Case A

In December 2019, Donald Trench, the CMO of Green Light Trucks, identified three new segments that the company wanted to enter in 2020. As the third quarter comes to an end, Donald would like to assess their performance in each of the new segments they penetrated. Donald needs your help!

1. Let’s say that the company has a Marketing Information System. What information do you need to extract from the system for you to analyze the third quarter performance?
2. For each segment, how would you know if it performed well or not?

2. Short Case B

You are a marketing consultant. A client of yours, a CMO wants your advice. Her project is to create a dashboard of indicators that show the contribution of marketing to the performance of the business. She wants to create this but unsure on the criteria she should use in designing the dashboard to make it effective.

What would you advise her?

1. Vesta Ventures wishes to borrow $10 million for one year. A bank offers an interest-only loan with quarterly interest payments at a floating rate of 90-day Libor plus 90 bps and full principal repayment due at the end of the one-year term of the loan. Vesta also enters a one-year, quarterly payment interest rate swap as the fixed rate payer to hedge interest rate risk. The swap has a notional principal of $10 million, the floating rate is Libor, and the fixed rate is 3.15%. The loan and the swap utilize a 30/360 day count convention.

Assuming 90-day Libor evolves as given below, what is Vesta’s projected loan interest payment, net swap payment, and overall net interest payment on the hedged loan each quarter? (3 points)