Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data79.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.)

times x =

times s =

lengths x =

lengths s =

r =

time = + length

length = time  

time length
10   .8
20   3
30   5.5
40   4.9
50   9.4
60   8.6
70   9.5
80   15
90   15.2
100   15.6
110   17.2
120   19.9
130   21.6
140   22.7
150   26
160   26.3
170   27.4
180   31.1

Periodic Inventory by Three Methods

Dymac Appliances uses the periodic inventory system. Details regarding the inventory of appliances at January 1, purchases invoices during the next 12 months, and the inventory count at December 31 are summarized as follows:

Required:

1. Determine the cost of the inventory on December 31 by the first-in, first-out method.

If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the units PURCHASED MOST RECENTLY first.

2. Determine the cost of the inventory on December 31 by the last-in, first-out method.

If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the OLDEST units first.

3. Determine the cost of the inventory on December 31 by the weighted average cost method.

A study compared the number of years a person has worked for the same company (X) with the person’s salary in thousands of dollars per year (Y). The data for nine employees appear in the following table. Use the data to answer the questions.

Answer these questions based on the research scenario and the data in this table.

1. What is the research question? What is the research hypothesis? (4 points)

2. What is the independent variable? What is the scale of measurement for the independent variable? (6 points)

3. What is the dependent variable? What is the scale of measurement for the dependent variable? (2 points)

4. What is the research design? (Be specific) (2 points)

5. Test the null hypothesis at the .05 level of significance that there is a significant relationship between the two variables. (Perform all 7 steps of null hypothesis testing

Kroger runs Buy One Get One (BOGO) promotions every year to promote charcoal for Memorial Day. Their data indicates that 76 customers per day per store purchase this deal every spring and the standard deviation historically is 12 customers. Assume that the population is normally distributed. What is the probability that for a random sample of 15 days, at least 70 customers per day will buy charcoal with the BOGO?

1) 0.6915

2) 0.9772

3) 0.0262

4)0.9738

he International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.

Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

The Coaster commuter train runs crowded trains (200 passengers per train-car) during peak rush-hour commute times, but the there are only 10 passengers per train-car during off-peak hours. A manager of the Coaster says that the cost of running a car for one trip is $50 regardless of the number of passengers onboard: Therefore, the manager says the per passenger cost is $0.25 during peak hours and $5 per passenger in off-peak hours. This implies the Coaster should discourage off-peak hour ridership. Is the manager correct in this assessment? Explain. Think about this in terms of the marginal cost of adding another passenger

Jacob is a basketball player who has a 40% probability of successfully making a free throw

(a) In practice, Jacob keeps shooting free throws until he makes one in. Then, he stops and runs a lap.

i. What is the probability that he attempts at most 2 free throws before he has to run a lap?

ii. What is the expected number of free throw attempts Jacob makes before he has to run a lap?

(b) In a game, Jacob attempts 10 free throws.

i. What is the probability that he makes at least 5 free throws in this game?

ii. What is the expected number of free throws made by Jacob in this game?

The amount of time (minutes) spent at a Smart Centre by 40 shoppers are given below.

a. Complete the following frequency distribution for the data.

b. What is the class midpoint for the fourth class?

c. What proportion of the shoppers spent less than 30 minutes at the Smart Centre?

d. Is the distribution symmetric, skewed left, or skewed right?

(click to select)Symmetric or Skewed Left or Skewed Right

Howard Rockness was worried. His company, Rockness Bottling, showed declining profits over the past several years despite an increase in revenues. With profits declining and revenues increasing, Rockness knew there must be a problem with costs.

Rockness sent an e-mail to his executive team under the subject heading, “How do we get Rockness Bottling back on track?” Meeting in Rockness’s spacious office, the team began brainstorming solutions to the declining profits problem. Some members of the team wanted to add products. (These were marketing people.) Some wanted to fire the least efficient workers. (These were finance people.) Some wanted to empower the workers. (These people worked in the human resources department.) And some people wanted to install a new computer system. (It should be obvious who these people were.)

Rockness listened patiently. When all participants had made their cases, Rockness said, “We made money when we were a smaller, simpler company. We have grown, added new product lines, and added new products to old product lines. Now we are going downhill. What’s wrong with this picture?”

Rockness continued, “Here, look at this report. This is last month’s report on the cola bottling line. What do you see here?” He handed copies of the following report to the people assembled in his office.

^a Return on sales before considering selling, general and administrative expenses.

Rockness asked, “Do you see any problems here? Should we drop any of these products? Should we reprice any of these products?” The room was silent for a moment, and then everybody started talking at once. Nobody could see any problems based on the data in the report, but they all made suggestions to Rockness ranging from “add another cola product” to “cut costs across the board” to “we need a new computer system so that managers can get this information more quickly.” A not-so-patient Rockness stopped the discussion abruptly and adjourned the meeting.

He then turned to the quietest person in the room—his son, Rocky—and said, “I am suspicious of these cost data, Rocky. Here we are assigning indirect costs to these products using a 260 percent rate. I really wonder whether that rate is accurate for all products. I want you to dig into the indirect cost data, figure out what drives those costs, and see whether you can give me more accurate cost numbers for these products.”

Rocky first learned from production that the process required four activities: (1) setting up production runs, (2) managing production runs, and (3) managing products. The fourth activity did not require labor; it was simply the operation of machinery. Next, he went to the accounting records to get a breakdown of indirect costs. Here is what he found:

Then, he began a series of interviews with department heads to see how to assign these costs to cost pools. He found that 40 percent of indirect labor was for scheduling or for handling production runs, including purchasing, preparing the production run, releasing materials for the production run, and performing a first-time inspection of the run. Another 50 percent of indirect labor was used to set up machinery to produce a particular product. The remaining 10 percent of indirect labor was spent maintaining records for each of the four products, monitoring the supply of raw materials required for each product, and improving the production processes for each product. This 10 percent of indirect labor was assigned to the cost driver “number of products.”

Interviews with people in the information technology department indicated that $19,500 was allocated to the cola bottling line. 80 percent of this $19,500 information technology cost was for scheduling production runs. 20 percent of the cost was for record keeping for each of the four products.

Fringe benefits were 40 percent of labor costs. The rest of the overhead was used to supply machine capacity of 28,500 hours of productive time.

Rocky then found the following cost driver volumes from interviews with production personnel.

• Setups: 710 labor-hours for setups.
• Production runs: 235 production runs.
• Number of products: 4 products.
• Machine-hour capacity: 28,500 hours.

Diet cola used 250 setup hours, 90 production runs, and 7,500 machine-hours to produce 75,000 units. Regular cola used 85 setup hours, 55 production runs, and 5,000 machine-hours to produce 50,000 units. Cherry cola used 290 setup hours, 55 production runs, and 1,400 machine-hours to produce 14,000 units. Grape cola used 85 setup hours, 35 production runs,and 350 machine-hours to produce 3,500 units. Rocky learned that the production people had a difficult time getting the taste just right for the Cherry and Grape colas, so these products required more time per setup than either the Diet or Regular colas.

Required:

a. Recompute the unit costs for each of the cola products: Diet, Regular, Cherry, and Grape.

b. What is the cost of unused capacity?

c. Now assume that Rockness is considering producing a fifth product: Vanilla cola. Because Vanilla cola is in high demand in Rockness Bottling’s market, assume that it would use 14,250 hours of machine time to make 142,500 units. (Recall that the machine capacity in this case is 28,500 hours, while Diet, Regular, Cherry, and Grape consume only 14,250 hours.) Vanilla cola’s per unit costs would be identical to those of Diet cola except for the machine usage costs. What would be the cost of Vanilla cola? Calculate on a per-unit basis, and then in total.

Write a program in C# for a Cricket match using Jagged Arrays. The name of the project will be on your name. It has the following modules:

• Create two functions in class Cricket_Match for random numbers generation.
  • The first function generates 1-6 numbers which is known as balls played by each player.
  • The second function generates a 0-6 number which is known as the score produced against each ball by an individual player.
• In the main show the individual player score.
• Show the total score.

Note: Random numbers are generated using the following function:

Random rnd = new Random();

int num = rnd.Next(1, 6);//Between 1-6

Output Example