A 1,000-kg car moving east at 90 km/h collides head-on with a 1,500-kg car moving west at 50 km/h, and the two cars stick together. (a) Which way does the wreckage move and with what initial speed? (b) How much KE is lost in the collision?

One-Way ANOVA 1) Below is a hypothetical experiment with data included: Please perform a data analysis using SPSS. Include data inspection, description, and a one-way ANOVA with supporting graph showing confidence intervals (error bar graph). Attach both to this Board.

2) Add a brief paragraph explaining the conclusions about the data in this study. Did it show a significant difference? Why or why not.

A researcher wants to see if seating position in a classroom has a differential effect on learning. He randomly assigns students to sit in the first two rows (group A-closest to the instructor); the middle two rows (group B) or the last two rows (Group C - furthest from the instructor): He then teaches a unit and tests learning with a quiz (maximum possible score is 30). The results follow:

Group A: 8 14 12 13 15 15 9 19 13 22 15 12 26 13 19 18 15 13 18 8 16 11 14 19 8

Group B: 10 23 9 9 12 15 8 8 23 6 9 6 20 5 6 14 25 2 1 18 8 11 12 6 3

Group C: 8 1 2 23 9 28 6 9 11 1 8 11 13 13 10 8 7 6 9 10

Suppose a firm is expected to increase dividends by 10% in one year and by 15% in year two. After that, dividends will increase at a rate of 7% per year indefinitely. If the last dividend was $2 and the required return is 12%, what is the price of the stock?

Suppose a firm is expected to increase dividends by 10% in one year and by 15% in year two. After that, dividends will increase at a rate of 7% per year indefinitely. If the last dividend was $2 and the required return is 12%, what is the price of the stock?

Two sport teams A and B, 7 games in total, whoever reaches 4 wins is the winner, if we assume Markov chain, P(A wins game k|A wins game k-1)=p11, P(A wins game k|A lost game k-1)=p01,
How do we use simulation to get P(game 7 is played)?
# p11: A won game k given A won game k-1
# p01: A won game k given A lost game k-1
# p0: A won the first game

Chapter 6 Problem A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below. Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend. Product X (Price $10) Product Y (Price $2) Product Z (Price $8) Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ 1 42 1 14 1 32 2 82 2 26 2 60 3 118 3 36 3 84 4 148 4 44 4 100 5 170 5 50 5 110 6 182 6 54 6 116 7 182 7 56.4 7 120 (a) Complete the table by computing the marginal utility per dollar for successive units of X, Y, and Z to one or two decimal places. Remember the marginal utility per dollar would be calculated by first getting the marginal utility which is the change in utility as quantity increases and then dividing it by the price. When doing Quantity 1 you are going from 0 units to 1 unit. The utility for 0 units would be $0. (b) How many units of X, Y, and Z will the consumer buy when maximizing utility and spending all income? Show this result using the utility maximization formula. (Meaning they need to spend all of their income of $74) (c) Why would the consumer not be maximizing utility by purchasing 2 units of X, 4 units of Y, and 1 unit of Z?

The 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. 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. ( , )

: In this question we are going to return to the wonderful island of Alleybowlia where the inhabitants absolutely love bowling. Remember, that the island boasts one of the best bowling alleys of its continent and all citizens go play in the alley all weekend long. An entrepreneur in a neighbouring island has figured out a new way of producing super-smooth bowling balls (SSBB), which are supposed to guarantee plenty of strikes (which is a good thing in bowling). As a shipment of SSBB is arriving on the island, the citizens are busy figuring out how much they are willing to pay for them. The following table lists the citizens’ willingness to pay for their first, second and possibly third SSBB.

For instance, citizen A is willing to pay $500 for her first SSBB, $340 for the second and $130 for the third. In contrast, consumer B is not willing to pay anything for a third SSBB since she only needs or wants two.

A. Suppose the boat arrives and there are only seven SSBBs available for sale. Assume that it has cost $200 to produce and ship each of the seven SSBBs.

1. What is the range of prices compatible with market equilibrium?

2. Pick the highest market equilibrium price and calculate consumer surplus.

3. What is the producer surplus at the highest market equilibrium price?

4. What is total surplus at the highest market equilibrium price?

5. What is total surplus at the lowest market equilibrium price?

B. Now assume instead that the cost of shipping and producing each ball is $350, and any quantity can be produced.

6. What is the equilibrium price and quantity in this case?

7. Calculate consumer surplus, producer surplus and total surplus.

) Hector Gonzales runs the Floral Art Company, which supplies floral arrangements to three large supermarket chains throughout Australia. Management has become concerned about the rising costs associated with the process and dispatch of orders. An activity analysis of the indirect costs identified the following customer-related costs.

Required:

1. Assign the activity costs to each of the three customers