A researcher wanted to know if a particular brand was preferred by different age groups. The researcher observed the data below. Is there a relationship between age and brand?

1. Which test are you using?
2. What are your H0 (null hypothesis) and Ha (alternative hypothesis)?
3. Calculate your statistic.
4. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.)
5. Write a one to two sentence conclusion that correctly responds to the question.

Please use only  Chi-Squared test

6. The worst case scenario in the quick sort occurs when the array is partitioned to two equal sized subarray every time that a recursive call takes place.

True

False

7.Suppose that we want to sort an array of n elements, where each element is a string of at most 1000 characters. What is the time requirement for applying radix sort to sort this array?

8.Suppose we want to sort the following array of integers using radix sort:

a=[14 682 120 50 327]

What are the intermediate steps?

9.What are the intermediate steps for patitioning the folloiwng array when taking the pivot as the median of the first,middle, and last items (suppse that the threshold for calling insertion sort is an array of size 2)

a= [12 5 8 6 9 11 10 ]

10.Although radix sort has the best time efficiency among other sorting algorithm it is not always applicable because it imposes some restrictions on the type of the data that can be sorted.

True

False

1.MCGG is Australian MNC that exports cricket equipment to Asia. MCGG has exposure to both the Indian Rupee (INR) and the Pakistani Rupee (PKR). 60% of the MCGG's funds are INR and 40% are PKR. The standard deviation of exchange movements is 7% for INR and 8% for PKR. Correlation coefficient for the two currencies is 0.50. Based on this information, the standard deviation of these two-currency portfolio is

2.The interest rate in the Sri Lanka is 12.5%. The interest rate in the Australia is 1.5%. The spot rate for the Sri Lankan Rupee is A$0.0082. According to the international Fisher effect (IFE), the Sri Lankan Rupee should adjust to a new level of:

3.A bank has quoted the following exchange rates: A$1.21/US$ and €0.60/A$. Which of the following is a correct cross-rate for the above rates?

4.The FX dealer has two quotes. The exchange rate between Sri Lankan Rupee and the Australian dollar is Rs.120 / A$. The exchange rate between Myanmar Kyat and the Australian dollar is MMK895 / A$. Assume that the Australian dollar is the home currency. What is the exchange rate between the two foreign currencies?

5.The 60-day period lending rate for the Mexican Peso (MXN) is 0.80 percent and the 60-day period borrowing rate for the Australian dollars (A$) is 1.05 percent. Delta bank expects the exchange rate of the MXN to appreciate from its current level of A$0.063 to A$0.070 in 60 days. Assume that Delta can borrow A$ 1,000,000.

If the MXN appreciates to A$0.07 in 60 days as expected, what is Delta’s profit in Australian dollars?

( PARTS 5-8 Only )

1.Generate a scatter plot for CREDIT BALANCE vs. SIZE, including the graph of the "best fit" line. Interpret.

2.Determine the equation of the "best fit" line, which describes the relationship between CREDIT BALANCE and SIZE. Interpret the values for slope and intercept.

3.Determine the coefficient of correlation. Interpret.

4.Determine the coefficient of determination. Interpret.

5. Test the utility of this regression model (use a two tail test with α=.05) by setting up the appropriate test of hypothesis. Interpret your results, including the p-value.

6. Based on your findings in 1-5, what is your opinion about using SIZE to predict CREDIT BALANCE? Explain.

7.Compute the 98% confidence interval for β1 (the population slope). Interpret this interval.

8. What can we say about the credit balance for a customer that has a household size of 9 ? Explain your answer.

Mr. and Mrs. Z, both in their late 30s, file a joint tax return. They have one dependent child who is age 5. Mr. Z is an employee with wages = $100,000. Federal tax withholding from his paycheck = $16,000. Their itemized deductions = $30,000. Any preferential tax rate = 0%. Allowable adjustment for retirement account = $5,000. Mrs. Z runs a part-time business that she operates as a sole proprietor. This year’s information is as follows:

Revenue $30,000, Cost of Goods Sold, $16,000, Other Expenses = $4,500 (including cost recovery = $800 and entertainment of clients = $500). She sold some business assets, one for a gain of $1,000, all of which is subject to depreciation recapture, and the others for a net loss of $1,500.

Mr. and Mrs. Z have some investments. This year they received $3,000 from an investment in bonds issued by the state of Alabama. They also sold two stocks they had held for several years, one for a gain of $6,000 and one for a loss of $4,000.

Calculate Mr. and Mrs. Z’s adjusted gross income (AGI), taxable income, total tax liability, and amount due or refund

can you include the QBI and self employment too

Kathleen is a 1.68 m, 59 kg, 20-year-old university student. Over the last few years she has gained, then lost, five to seven kilograms several times. Recently, she has been trying hard to keep her weight down. Like many university students, Kathleen goes out every weekend and tends to overindulge. During the week she lives the life of a serious student, eating very little and getting seven to eight hours of sleep every night. By Friday, she is ready to have some fun. She usually goes out with friends to a nearby Chinese or Thai restaurant and then out to a bar or club. At the bar Kathleen will have four or five drinks and munch on hot chips or salted nuts. By 3 a.m., when she and her friends are ready to call it a night, they are usually hungry again. This means finding pizza, burgers or any other food they can find at that hour of the morning. After a late night out, Saturdays are spent catching up on some sorely needed sleep. By Saturday night, Kathleen is ready to go out and do it all over again. Sundays are usually spent relaxing at a hearty Sunday brunch, watching movies with her friends accompanied by a giant bowl of popcorn, and finishing homework that is due on Monday morning.

Kathleen realises that her weekend binges may cause her to gain weight, so she cuts down on kilojoules from Monday to Thursday. Kathleen has been trying to stay active and build up some muscle mass by running. Recently, her strict dieting is making this more difficult. During the week Kathleen eats so little that she often feels weak or lightheaded, especially following her long-distance runs. Although she is running a great deal, her muscles are not getting as large as she had hoped they would. She finds her diet is very hard to stick to on Mondays and Tuesdays. Kathleen is always starving. However, by the end of the week she no longer feels so hungry. Kathleen also notices that she has a much harder time paying attention, is sensitive to the cold temperatures and finds it all too easy to catch a cold or flu.

1. During periods of feasting, how are metabolic fuels used differently compared to their use with a healthy, consistent diet?

2. What are the long-term consequences of Kathleen's eating pattern and alcohol consumption on her vitamin status?

please use R for solving the questions

(e) Is multicollinearity a potential problem in this model?

(f) Construct a normal regression plot of residuals. Does there seem to be any problem with the normality assumption?

(g) Construct and interpret a plot of the residuals versus predicted response.

(h) Based on the above analysis, what is your recommended model?

[Hint: Use the lm commend in R to fit a regression equation.

Table B.4

A company that uses the gross method of recording purchases and a perpetual inventory system made a purchase of $2,200 with terms of 2/10, n/30. The entry to record the purchase would be:

Debit Merchandise Inventory $2,156; credit Accounts Payable $2,156. Debit Merchandise Inventory $2,200; credit Accounts Payable $2,200. Debit Merchandise Inventory $2,156; credit Cash for $2,156. Debit Merchandise Inventory $2,156; debit Discounts Lost $44; credit Accounts Payable $2,200. Debit Accounts Payable $2,200; credit Discounts Lost $44; credit Cash $2,156.

1. (10 pts) A firm has the following short run total costs, where Q is output and TC is total cost:

1. What is total fixed cost equal to? $100

2. What is average total cost at Q = 4? $50

3. What is average variable cost at Q = 7? $40

4. What is marginal cost at Q = 8?

5. At Q=8, is the firm operating under increasing or decreasing returns? Why?

2. (6 pts) An economy has the following total transactions (or total requirements) input-output matrix:

                                             Agriculture    Manufact.   Energy    Services

Agriculture                               1.40                0.30         0.40         0.40

Manufacturing                         0.40                1.50         0.50          0.60

Energy                                      0.30                0.60        1.20           0.40

Services                                    0.40                0.50        0.40           1.30

1. If final demand for manufacturing increases by $ 50 billion, what will be the increase in total production in each industry? In the economy as a whole?

2. Calculate the industry multiplier for services.  

3. (2 pts) A firm is producing a product using only labor and physical capital. The price of labor (wage rate) is $ 20/hour, and the cost of capital is $ 60/hour. If the marginal product of labor is 300 units an hour, what must be the marginal product of capital if the firm is a profit maximizer?      

4. (2 pts) A firm has the following production function, where Q is output, K is capital and L is labor:

Q = 400K^0.5L^0.7

Does this firm operate under increasing, decreasing or constant returns to scale, and why?