Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client contacts last month and the y column shows the value of sales ($ thousands) last month for each client sampled.

1. Determine the regression equation. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round final answers to 2 decimal places.)

b. Determine the estimated sales if 40 contacts are made. (Do not round intermediate calculations. Round final answers to 2 decimal places.)

"Three Sample ANOVA QB"

Researcher wants to compare test performance for tests printed on three different colors of paper; Red, Green, and the Standard White. The researcher selects a sample of 11 individuals and has each individual take one test on Red paper, another test on Green paper, and a third test on the Standard White paer. The data are listed below. The researcher wants to minimize the probability of making a Type I error.

   Red Green White   
90 88 86
89 87 85
88 86 84
87 85 83
86 84 82
85 83 81
84 82 80
83 81 76
82 80 78
81 79 77
    80 78 79   

Means 85 83 81 Grand Mean = 83

2)What is the correct observed test statistic value for this statistical test of the means (Round to two decimal places)?

3) What is the correct critical value for this statistical test of the means?

6) conduct post-hoc analysis using Tukey’s HSD. What is the critical value?

7)what is the value of Tukey’s HSD for comparing Red paper to Green paper (Round to two decimal places)?

8)what is the value of Tukey’s HSD for comparing Red paper to White paper (Round to two decimal places)?

9)what is the value of Tukey’s HSD for comparing Green paepr to White paper (Round to two decimal places)?

Exercise 8-16

You are the vice president of finance of Novak Corporation, a retail company that prepared two different schedules of gross margin for the first quarter ended March 31, 2020. These schedules appear below.

The computation of cost of goods sold in each schedule is based on the following data.

Debra King, the president of the corporation, cannot understand how two different gross margins can be computed from the same set of data. As the vice president of finance, you have explained to Ms. King that the two schedules are based on different assumptions concerning the flow of inventory costs, i.e., FIFO and LIFO. Schedules 1 and 2 were not necessarily prepared in this sequence of cost flow assumptions.

Prepare two separate schedules computing cost of goods sold and supporting schedules showing the composition of the ending inventory under both cost flow assumptions.

:

:

Schedules Computing Ending Inventory

The following table shows the record of the weight of all boxes in an EMS delivery truck.

a) If you randomly select 8 boxes from this truck without replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

b) If you randomly select 8 boxes from this truck with replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

As you showed on the last exam, an experiment at U of Arkansas a couple of years ago showed that the genes for CHF and RA are linked by a distance of 10.2 cM in pigs. In order to test the linkage relationship obtained by the U of Arkansas team, a U of Missouri biology team repeated the experiment making exactly the same cross, but using independently obtained pigs.

Healthy pigs: 255

CHF: 40

RA: 44

Both CHF & RA: 261

Total: 600

Conduct a chi2 test to ascertain if there is sufficient grounds for the Missouri team to reject the Arkansas linkage value. Hint: For your expected values, use the linkage estimate provided by the Arkansas researchers to calculate what the Missouri team would have expected in their experiment. Be sure to show how you calculated your X2 value, your d.f., p-value, and conclusion from your test. For expected values use to 1 decimal, for X2 values use to 2 decimals. If you reject the Arkansas hypothesis, propose an alternative explanation

A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other. He puts the cards in the bag, pulls out one, and puts it on the table. Both of you can see that the card is blue on top, but haven't seen the other side. The street performer bets you $50 that the other side of the card is also blue. Should you take the bet and WHY? Now that the previous two questions have gotten you thinking about probability, how does probability apply to your profession?

Suppose jobs vary along two dimensions: wages and noise and that all workers dislike noise but vary in their distaste for it. Assume that the combinations of wages and noise for which firms’ profits are zero are given by the equation W = 5 + .1N (for 0?N?100) where W is the wage in dollars per hour and N is the noise the worker is subjected to, in decibels. Also, assume at the jobsite of any firm that spends nothing on noise reduction N = 100. a. Draw the offer curve. b. Assume two employed workers, Manny and Moe. Assume that at Moe’s jobsite workers are subject to 50 decibels of noise and at Manny’s workers are subject to 75 decibels. Draw one indifference curve for Manny and another for Moe, representing their respective utilities at their respective jobs. What are these workers’ wages? c. Which worker has a greater willingness to pay for a one decibel reduction in noise at the wage-decibel combination of $10 and 50 decibels? d. At their current wages and levels of noise, how much wage is Manny willing to give up to reduce noise by one decibel? How much wage is Moe willing to give up to reduce noise by one decibel? e. Suppose OSHA sets a cap of 50 decibels at all jobsites. How does this cap affect Manny’s and Moe’s employment choices? How does the cap affect Manny’s and Moe’s well-being? f. Assume again no OSHA and no cap. Suppose it becomes costless for firms to reduce or eliminate noise. What does the new offer curve look
2
like? What would be the new combinations of wage and noise chosen by Manny and Moe? Are they better off at these new combinations of wage and noise? Are their employers better off?

solve using r if coding is required

The data in air-pollution.txt are 42 measurements on air-pollution variables recorded at noon in the Los Angeles area on different days.

Variables: X₁ = Wind, X₂ = Solar radiation, X₃ = Carbon monoxide, X₄ = Nitric oxide, X₅ = Nitrogen dioxide, X₆ = Ozone, and X₇ = Hydrocarbon content.

(a) Evaluate the sample mean vector x.

(b) Evaluate the sample variance-covariance matrix, S, and its inverse, S−1.

(c) Evaluate the sample correlation matrix R. Interpret the pairwise correlations. Also con- struct a scatterplot matrix (a matrix of scatter plots) for these data

(d) Construct a normal quantile plot (Q-Q plot) for the solar radiation measurements (X2) and carry out a test for normality using the Shapiro-Wilk test. Does the data appear to be normally distributed? Explain.

data is

Wind Radiation CO NO NO2 O3 HC
  8  98  7  2  12  8  2
  7  107  4  3  9  5  3
  7  103  4  3  5  6  3
  10  88  5  2  8  15  4
  6  91  4  2  8  10  3
  8  90  5  2  12  12  4
  9  84  7  4  12  15  5
  5  72  6  4  21  14  4
  7  82  5  1  11  11  3
  8  64  5  2  13  9  4
  6  71  5  4  10  3  3
  6  91  4  2  12  7  3
  7  72  7  4  18  10  3
  10  70  4  2  11  7  3
  10  72  4  1  8  10  3
  9  77  4  1  9  10  3
  8  76  4  1  7  7  3
  8  71  5  3  16  4  4
  9  67  4  2  13  2  3
  9  69  3  3  9  5  3
  10  62  5  3  14  4  4
  9  88  4  2  7  6  3
  8  80  4  2  13  11  4
  5  30  3  3  5  2  3
  6  83  5  1  10  23  4
  8  84  3  2  7  6  3
  6  78  4  2  11  11  3
  8  79  2  1  7  10  3
  6  62  4  3  9  8  3
  10  37  3  1  7  2  3
  8  71  4  1  10  7  3
  7  52  4  1  12  8  4
  5  48  6  5  8  4  3
  6  75  4  1  10  24  3
  10  35  4  1  6  9  2
  8  85  4  1  9  10  2
  5  86  3  1  6  12  2
  5  86  7  2  13  18  2
  7  79  7  4  9  25  3
  7  79  5  2  8  6  2
  6  68  6  2  11  14  3
  8  40  4  3  6  5  2

Prime Co. produces two products, A and B. The unit revenues are $2 and $3, respectively. Two
raw materials, M1 and M2, used in the manufacture of the two products have daily availabilities
of 8 and 18 units, respectively. One unit of A uses 2 units of M1 and 2 units of M2, while one
unit of B uses 3 units of M1 and 6 units of M2.
(a) Using simplex method, determine the dual prices of M1 and M2 and their feasibility ranges.
(b) Suppose that 2 additional units of M1 can be acquired at the cost of 25 cents per unit.
Would you recommend the additional purchase? Justify your answer.
(c) Due to a change in people’s preferences, the unit revenue of A changes to $(2 + ?).
Determine the optimality range for ? so that the optimum solution stays the same.

show the steps please

​Beryl's Iced Tea currently rents a bottling machine for $54,000 per​ year, including all maintenance expenses. It is considering purchasing a machine instead and is comparing two​ options:
a. Purchase the machine it is currently renting for $150,000. This machine will require $22,000 per year in ongoing maintenance expenses.
b. Purchase a​ new, more advanced machine for $250,000. This machine will require $16,000 per year in ongoing maintenance expenses and will lower bottling costs by $13,000 per year.​ Also, $35,000 will be spent upfront to train the new operators of the machine.
Suppose the appropriate discount rate is 9% per year and the machine is purchased today. Maintenance and bottling costs are paid at the end of each​ year, as is the cost of the rental machine. Assume also that the machines will be depreciated via the​ straight-line method over seven years and that they have a​ 10-year life with negligible salvage value. The marginal corporate tax rate is 40%.
Should​ Beryl's Iced Tea continue to​ rent, purchase its current​ machine, or purchase the advanced​ machine? To make this​ decision, calculate the NPV of the FCF associated with each alternative.