1. Based on her own experiences in court, a prosecutor believes that some judges provide more severe punishments than other judges for people convicted of domestic violence. Five of the most recent domestic violence sentences (in years) handed down by three judges are recorded below.

Using this information, test the null hypothesis at the .05 level of significance that judges do not vary in the sentence lengths imposed on individuals convicted of domestic violence. In so doing, please: (1) identify the research and null hypotheses, (2) the critical value needed to reject the null, (3) the decision that you made upon analyzing the data, and (4) the conclusion you have drawn based on the decision you have made.

2. For a sample of 900 police officers at a local police department, a researcher believes there is a relationship between “number of arrests per month” and “police use of force.” Using the following data, test the null hypothesis at the .01 level of significance that police use of force does not differ by the number of arrests per month that an officer makes. In so doing, identify: (1) the research and null hypothesis, (2) the critical value needed to reject the null, (3) the decision that you made upon analyzing the data, and (4) the conclusion you have drawn based on the decision you have made.

                                                                 Number Of Arrests Per Month

            Use of Force                           One                  Two                 Three               Four or More               Total

            No Force                                  120                  100                 40                       120                                    380

            Force                                       120                  140                 100                       160                                    520_

                                                            240                  240                 140                       280                                   900

3. How is an Analysis of Variance (ANOVA) similar to and different from a t-test for two samples?

4. What statistical test would a researcher use to test the following research hypothesis: Individuals who report less favorable attitudes toward the police (measured as 1 = very favorable, 2 = somewhat favorable, 3 = somewhat not favorable, and 4 = not at all favorable) are more likely to be sentenced to higher security prisons (measured as 1 = minimum, 2 = medium, and 3 = maximum).

5. Why is it not possible to calculate a chi-square on the following hypothesis: Males have a higher number of total arrests than females?

6. Why is it impossible to calculate a negative F value when using an Analysis of Variance to test a hypothesis?

Given the following price and dividend information:

A. calculate the holding period return. (Round to 4 decimals)

B. calculate the $1 investment equivalent. (Round to 4 decimals)

C.calculate the probability of losing money. (Round to 4 decimals)

consider execution of the following switch statement:

int Enter = 10;

cin >> Enter;

switch (Enter)

{

case 1: Enter = -4;

case 2: Enter = -6;

case 4: break;

case 6: Enter = -8;

break;

default: Enter = -1;

}

What would the value of Enter be after execution of this code if the value read for Enter were 4?

-4,-6,-8 or none

Question 1. How many statements are true? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Statement 1. Scheduled receipts are future receipts of past order releases

Statement 2. The MPS contains the GR of the end -item.

Statement 3. The POR is the inventory policy of the MRP

Statement 4. MRP minimizes cost.

Part 2. Questions 2,3,4.

Consider the end-item weekly MRPs for May 1 with Qd missing in each MRP. Match the correct MRP with the proper lot size discipline.

You may complete the following table. Units of labour Total production (units) Average production Marginal production 0 0 ---------------- --------------------- 1 2 2 5 3 9 4 12 5 14 6 15 7 15 8 14 Increasing returns to scale occur when the range of units of variable factor is from A. 1 to 3 B. 4 to 6 C. 6 to 8 D. 3 to 5

2. Microeconomics

Question 1-6 are based on the following series of futures price (F(0), F(1),... F(6)):

Day 0: F(0)=$212

Day 1: F(1)=$211

Day 2: F(2)=$214

Day 3: F(3)=$209

Day 4: F(4)=$210

Day 5: F(5)=$202

Day 6: F(6)=$200

Suppose you are going to long 20 contracts. The initial margin=$10 per contract, and the maintenance margin is $2.

1) from the set of information: how much do you need to deposit in the trading account at Day 0?

2) Using the same set of information from Question 2,  what is the ending balance in Day 1?

3) Using the same set of information from Question 2, figure out what is the first day, on which, you receive margin call and need to put extra money into the trading account?

4) Using the same set of information from Question 2, answering what is the additional fund that needs to put into account on Day 6?

5) Using the same set of information from Question 2, answering what is the ending balance at Day 6?

6) Using the same set of information from Question 2, answering which day has the largest gain among the 6 days?

KFA has issued a 100-year coupon bond with par of $1,000, and a 6.50% annual coupon paid semi-annually. Calculate its price for each of the following three YTM scenarios: 4.0%, 6.0%, and 8.0%.

KFA is evaluating a project with the following cash flows in the first 4 years: $4,000, $5,000, $6,000, and $7,000. Use an 8.0% discount rate to calculate the project's net present values (NPV) for three potential initial investments: $11,000 (scenario 1), $13,000 (scenario 2), and $15,000 (scenario 3). Assume no residual value.

The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 120°.

(a) Find the rate of change of T at (1, 2, 2) in the direction toward the point (3, 3, 4).

Consider the following definition:
A positive integer num is called a factorion if it equals to the sum of the factorials of its digits.
For example, 145 is a factorion because 1! + 4! + 5! = 1 + 24 + 120 = 145.
Write a program that asks the user to enter a positive integer and reports if that number is a
factorion or not.
Reminder: the factorial of a positive integer n, denoted by n!, is the product of all positive
integers less than or equal to n: ?! = ? × (? − 1) × (? − 2) × … × 2 × 1.
For example, 5! = 5 × 4 × 3 × 2 × 1 = 120
Also, the value of 0! is defined as 1
Your program should interact with the user exactly as demonstrated in the following two
executions:
Execution example 1:
Please enter a positive integer:
145
145 is a factorion

South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $315,000 in the first year of operation to $1,075,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars.

a. Which of the following is the correct time series plot?

What type of pattern exists in the data?

There appears to be a seasonal pattern in the data and perhaps a

b. Use the following dummy variables to develop an estimated regression equation to account for any seasonal effects in the data: Qtr1=1 if Quarter 1, 0 otherwise; Qtr2=1 if Quarter 2, 0 otherwise; Qtr3=1 if Quarter 3, 0 otherwise. Round your answers to whole number.

Revenue= _ + _ Qtr1 + _ Qtr2 + _ Qtr3

Compute the quarterly forecasts for next year.

c. Let Period =1 to refer to the observation in quarter 1 of year 1; Period=2 to refer to the observation in quarter 2 of year 1; . . . and Period=20 to refer to the observation in quarter 4 of year . Using the dummy variables defined in part (b) and Period, develop an estimated regression equation to account for seasonal effects and any linear trend in the time series. Based upon the seasonal effects in the data and linear trend, compute the quarterly forecasts for next year. Round your answers to whole number. Enter negative value as negative number.

The regression equation is:

Revenue = _ + _ Qtr1 + _ Qtr2 + _ Qtr3 + _ Period

The quarterly forecasts for next year are as follows: