Question 3. (Independent Samples) In large corporations, an “intimidator” is an employee who tries to stop communication, sometimes sabotages others, and above all, likes to listen to him- or herself talk. Let x1 be a random variable representing productive hours per week lost by peer employees of an intimidator. x1 : 8 3 6 2 2 5 2 A “stressor” is an employee with a hot temper that leads to unproductive tantrums in corporate society. Let x2 be a random variable representing productive hours per week lost by peer employees of a stressor. x2 : 3 3 10 7 6 2 5 8 Assuming that the variables x1 and x2 are independent, do that the data indicate that the population mean time lost due to stressors is greater than the population mean time lost due to intimidators? Use Minitab to obtain the summary statistics for each sample. Round the sample statistics you find to 2 decimal places. Perform this test by hand and be sure to show full details. Use a significance level of 0.05. (15 points)

Do the following code by using python: ( Thank!)

You roll two six-sided dice, each with faces containing one, two, three, four, five and six spots, respectively. When the dice come to rest, the sum of the spots on the two upward faces is calculated.

• If the sum is 7 or 11 on the first roll, you win.

• If the sum is 2, 3 or 12 on the first roll (called “Mygame”), you lose (i.e., the “house” wins).

• If the sum is 4, 5, 6, 8, 9 or 10 on the first roll, that sum becomes your “point.”

To win, you must continue rolling the dice until you “make your point” (i.e., roll that same point value). You lose by rolling a 7 before making your point.

Please using python to do the following code:

You roll two six-sided dice, each with faces containing one, two, three, four, five and six spots, respectively. When the dice come to rest, the sum of the spots on the two upward faces is calculated. • If the sum is 7 or 11 on the first roll, you win. • If the sum is 2, 3 or 12 on the first roll (called “Mygame”), you lose (i.e., the “house” wins). • If the sum is 4, 5, 6, 8, 9 or 10 on the first roll, that sum becomes your “point.” To win, you must continue rolling the dice until you “make your point” (i.e., roll that same point value). You lose by rolling a 7 before making your point.

An air-freight company has 8 adjacent positions on its Boeing-727 aircraft for freight containers. The weights of this containers depend on what they are carrying. and company statistics indicate that %7 of the containers are classified as ”heavy”. While heavy containers are not inherently dangerous, having two such containers next to each other is considered dangerous should the plane encounter a wind gust.

Understandably, company wants to know how often will it be in a situation where two heavy cargo are next to each other, given that it loads the cargo in a random fashion. One of the engineers claim that this scenario is very unlikely, since chances of loading a single heavy crate is low (%7) and hence having two such containers next to each other is a very low chance event. Is the engineer right? Discuss using random variables and probabilities

Traditional marketing method of sending millions of customers the same advertisement is getting out of date as social media and mobile technologies enable us to communicate with each of the millions of customers and if necessary we can create one million different advertisements (I know, this is an extreme case but it really is possible to do this), customizing each advertisement to the individual consumer’s age, gender, lifestyle, culture, income level, etc. Pick any product or service and create two different advertisements involving retired people versus young single working females in your home country. Then create similarly two advertisements for a second country. Your student numbers last digit on the right will determine your second country. ( 1 China, 2 Korea, 3 Japan, 4 Italy, 5 Germany, 6 Sweden, 7 United Kingdom, 8 Brazil, 9 USA). Describe your advertisements in detail with at least 500 words for each, explaining why that advertisement will be liked by the target market audience in terms of its message and content.

Two passengers with masses MR=40 kg and ML=60 kg are standing on the two ends of A boat with mass Mb=100 kg. The length of the boat is L=10 m and its center of mass is in the middle of the boat

a) The two passengers start running toward each other with equal speeds u=1 m/s relative to the boat. With what velocity V=? does the boat start moving? b) After the two passengers reach each other at the center of the boat, how far

d=? has the boat moved?
c) If instead of running toward each other, passenger with mass MR=40 kg does

not move and the other passenger with mass ML=60 kg move and meet him at the other end of the boat, how much d’=? has the boat moved?

1. Construct a synthetic position providing full information on combined payoff and profit for all levels of open market / spot prices to expire in 3 months. The nominal annual interest rate is 8% and the current spot price for the stock is $40.
2. What is this position called? (Graph the position for visualization)
3. Identify its purpose – arbitrage, hedge, or speculation.

Your position includes the following items – buy a stock and buy a put; sell two calls and buy one call.

Stock: The price of the stock varies with the open market cash prices, in increments of $5 with a range between $20,$25,$30…..and $60.

Buy Put: strike $35; Premium $0.44

Write two calls: strike for both $40; Premium for each is $2.78

Buy call: strike $45; Premium $0.97

Quantitative Problem: Rosnan Industries' 2018 and 2017 balance sheets and income statements are shown below. Balance Sheets: 2018 2017 Cash and equivalents $80 $65 Accounts receivable 275 300 Inventories 375 350 Total current assets $730 $715 Net plant and equipment 2,000 1,490 Total assets $2,730 $2,205 Accounts payable $150 $85 Accruals 75 50 Notes payable 130 155 Total current liabilities $355 $290 Long-term debt 450 290 Common stock 1,225 1,225 Retained earnings 700 400 Total liabilities and equity $2,730 $2,205 Income Statements: 2018 2017 Sales $2,000 $1,500 Operating costs excluding depreciation 1,250 1,000 EBITDA $750 $500 Depreciation and amortization 100 75 EBIT $650 $425 Interest 62 45 EBT $588 $380 Taxes (40%) 235 152 Net income $353 $228 Dividends paid $53 $48 Addition to retained earnings $300 $180 Shares outstanding 100 100 Price $25.00 $22.50 WACC 10.00% What is the firm’s 2018 current ratio? Round your answer to two decimal places. If the industry average debt-to-total-assets ratio is 30%, then Rosnan’s creditors have a cushion than indicated by the industry average. What is the firm’s 2018 net profit margin? Round your answer to four decimal places. % If the industry average profit margin is 12%, then Rosnan’s lower than average debt-to-total-assets ratio might be one reason for its high profit margin. What is the firm’s 2018 price/earnings ratio? Round your answer to two decimal places. Using the DuPont equation, what is the firm’s 2018 ROE? Round your answer to two decimal places. %

Paymore Products places orders for goods equal to 75% of its sales forecast in the next quarter which has been provided in the below table. Quarter in Coming Year Following Year First Second Third Fourth First Quarter Sales forecast $372 $360 $336 $384 $384 On average, one-third of sales are collected in the quarter that they are sold, and two-thirds are collected in the following quarter. Assume that sales in the last quarter of the previous year were $336. Also, one third of the orders are paid for in the current month and then two thirds of the next quarter's orders are paid in advance. Assuming that Paymore’s labor and administrative expenses are $65 per quarter and that interest on long-term debt is $40 per quarter, work out the net cash flow for Paymore for the coming year using the below table. (Do not round intermediate calculations.)