Three different companies each purchased trucks on January 1, Year 1, for $72,000. Each truck was expected to last four years or 200,000 miles. Salvage value was estimated to be $7,000. All three trucks were driven 67,000 miles in Year 1, 42,000 miles in Year 2, 40,000 miles in Year 3, and 62,000 miles in Year 4. Each of the three companies earned $61,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation. Answer each of the following questions. Ignore the effects of income taxes. Required a-1. Calculate the net income for Year 1. a-2. Which company will report the highest amount of net income for Year 1? b-1. Calculate the net income for Year 4. b-2. Which company will report the lowest amount of net income for Year 4? c-1. Calculate the book value on the December 31, Year 3, balance sheet. c-2. Which company will report the highest book value on the December 31, Year 3, balance sheet? d-1. Calculate the retained earnings on the December 31, Year 4, balance sheet. d-2. Which company will report the highest amount of retained earnings on the December 31, Year 4, balance sheet? e. Which company will report the lowest amount of cash flow from operating activities on the Year 3 statement of cash flows?

If x is a binomial random variable, compute ?(?) for each of the following cases:

(a)  ?(?≤1),?=3,?=0.4

?(?)=

(b)  ?(?>1),?=4,?=0.2

?(?)=

(c)  ?(?<2),?=4,?=0.8

?(?)=

(d)  ?(?≥5),?=8,?=0.6

?(?)=

1. Solve the equations 256? ≡ 442(??? 60), 3? + 4 ≡ 6(??? 13).

5. Prove that ?2 + ? + 1 is an irreducible polynomial of degree 2.

Carmelo is choosing how much pudding and how much of meat to purchase with limited budget of $200. The price of pudding (measured on vertical axis) is $1 per pound and the price of meat (measured on horizontal axis) is $4 per pound. The OC of pudding is

a. 4 units of meat

b. 1/4 units of meat

c. 1/2 units of meat

d. 4 units of pudding

Ball 1: m=1.8g, r=2cm & Ball 2: m=2.2g, r=2cm, Cylinder: V=24oz, m=17.2g

1) Find volume (V=4/3(pie)(r)^3) & density (p=m/V) for both balls

2) Find density of the cylinder

3) Draw free body diagrams of both balls on water (The upward force of the water on the ball is called the buoyant force)

4) Determine the net force on each ball. Show your work or explain your reasoning.

5) Determine the magnitude of the buoyant force on each ball, if possible. If not possible, explain why. Show your work.

1. A family researcher is interested whether there is an association between the number of siblings a person has and the number of children they have. She interviews six older adults and finds the following information.

1. Explain which variable more naturally plays the role of the independent variable, and which the dependent. (2 points)

2. Calculate the correlation coefficient. (8 points)

3. Write a sentence to interpret the correlation coefficient. (2 points)

4. Conduct a hypothesis test to see whether the association between number of siblings and number of children is statistically significant or not at the level of α = .01. Write a sentence to interpret your answer. (4 points)

5. Calculate and interpret the meaning of the regression slope. (4 points)

6. Calculate and interpret the meaning of the Y-intercept for the regression line. (4 points)

7. Would you feel comfortable predicting the value of Y when X = 6? If so, make the prediction. If not, explain why not. (2 points)

QUESTION 1

Studd Enterprises sells big-screen televisions. A concern of management is the number of televisions sold each day. A recent study revealed the number of days that a given number of televisions were sold.

                        # of TV units sold      # of days

                                       0                             2

1.                         4

2.                       10

3.                       12

4.                         8

5.                         4

Answer the questions below. For each part, show your calculations and/or explain briefly how you arrived at your answer, as appropriate or needed.

Required:

1. Convert the frequency distribution above into a probability distribution (or relative frequency distribution) showing the proportion of days (rather than the number of days) that the number of televisions sold was 0, 1, 2, 3, 4, and 5 respectively. ( 3 marks)

2. Compute the mean of this general discrete probability distribution. ( 3 marks)

3. Compute the standard deviation of this general discrete probability distribution. ( 5 marks)

4. What is the probability that exactly 4 televisions will be sold on any given day? ( 1 mark)

5. What is the probability that 2 or more televisions will be sold on any given day? ( 1 mark)

6. What is the probability that less than 2 televisions will be sold on any given day? (1 mark)

g What is the probability that between 1 and 4 televisions inclusive will be sold on any given day? (1 mark)

GBA 306 Statistical Methods of Business II – Case Study – Indiana Real Estate

Ann Perkins, a realtor in Brownsburg, Indiana, would like to use estimates from a multiple regression model to help prospective sellers determine a reasonable asking price for their homes. She believes that the following four factors influence the asking price (Price) of a house:
1)   The square footage of the house (SQFT)
2)   The number of bedrooms (Bed)
3)   The number of bathrooms (Bath)
4)   The lot size (LTSZ) in acres
She randomly collects online listings for 50 single-family homes. The data file is located in the Blackboard “Case Study Indiana Real Estate Data File Excel” within the Case Study folder.

Requirements and associated point values:
.
Part 2 – Estimate and interpret a multiple regression model where the asking price is the response variable and the other four factors are the explanatory variables.
The end result should be a Excel Regression Output
SUMMARY OUTPUT                  
                      
Regression Statistics                  
Multiple R                      
R Square                      
Adj. R Square                      
Standard Error                      
Observations                      
                      
ANOVA                      
    Df   SS   MS   F   Significance F  
Regression                      
Residual                      
Total                      
                      
    Coefficients   Standard Error   t Stat   P-value   Lower 95%   Upper 95%
Intercept                      
SQFT                      
Bed                      
Bath                      
LTSZ                      

Also provide the estimate model equation: Price =
A total of 40 points will be assigned to Part 2.

Part 3 – Interpret the resulting coefficient of determination.
A total of 20 points will be assigned to Part 3.

Price   SQFT   Bed   Bath   LTSZ
399900   5.026   4   4.5   0.3
375000   3.2   4   3   5
372000   3.22   5   3   5
370000   4.927   4   4   0.3
325000   3.904   3   3   1
325000   2.644   3   2.5   5
319500   5.318   3   2.5   2.5
312900   3.144   4   2.5   0.3
299900   2.8   4   3   5
294900   3.804   4   3.5   0.2
269000   3.312   5   3   1
250000   3.373   5   3.5   0.2
249900   3.46   2   2.5   0.6
244994   3.195   4   2.5   0.2
244900   2.914   3   3   0.3
239900   2.881   4   5   0.3
234900   1.772   3   2   3.6
234000   2.248   3   2.5   0.3
229900   3.12   5   2.5   0.2
219900   2.942   4   2.5   0.2
209900   3.332   4   2.5   0.2
209850   3.407   3   2.5   0.3
206900   2.092   3   2   0.3
200000   3.859   4   2   0.2
194900   3.326   4   2.5   0.1
184900   1.874   3   2   0.5
179900   1.892   3   1.5   0.7
179500   2.5   4   2.5   0.5
165000   2.435   4   2.5   0.4
159900   2.714   3   2.5   0.2
159900   1.85   3   2.5   0.5
155000   3.068   4   3.5   0.2
154900   2.484   4   2.5   0.3
152000   1.529   4   2   0.4
149900   2.876   4   2.5   0.2
148500   2.211   4   2.5   0.1
146900   1.571   3   2   0.2
145500   1.503   4   2   0.5
144900   1.656   3   2   0.5
144900   1.521   3   2   0.6
139900   1.315   3   2   0.2
137900   1.706   3   2   0.3
132900   2.121   4   2.5   0.1
129900   1.306   3   2   0.5
129736   1.402   3   2   0.5
125000   1.325   3   2   0.3
119500   1.234   3   2   0.2
110387   1.292   3   1   0.2
106699   1.36   3   1.5   0.1
102900   1.938   3   1   0.1
              
              

Problem 2

Psychologists have done several studies examining mode of delivery for textbooks, comparing comprehension after reading material from a traditional paper textbook versus various electronic devices. Dr. Hangon decided to see if he could replicate these earlier studies. He tested 13 participants in three conditions: 1) paper textbook, 2) reading from a laptop-sized screen, and 3) reading from a cell-phone sized screen. In each condition, participants read 1500 words. Order of text delivery mode was counterbalanced across participants.The dependent variable was the score on a 7-item comprenhension test. Did Dr. Hangon find any difference between the difference modes of text delivery?

For hypothesis testing questions, use the four-step procedure outlined in class and assume α = 0.05, unless instructed to do otherwise in the problem. For all problems, provide a conclusion for each question in everyday English.

For ANOVA question(s), include a post-hoc test and an effect size calculation. For correlation questions, include a scatterplot that incorporates a regression line.

To obtain full credit, show any calculations that are required via formulas in Excel. Use the sample assignment 3 as a model.

(Please show all your work! THANKS!!!)

1) The following data were collected from a repeated-measures study investigating the effects of 4 treatment conditions on test performance. Determine if there are any significant differences among the four treatments. State the null hypothesis. If you determine a significant treatment effect, use Tukey’s HSD test (overall α = .05) to determine which treatments differ from which other treatments. Also, compute the percentage of variance explained by the treatment effect (η2). Conclude with an appropriate summary describing what you found. Be sure that the statement includes/refers to some descriptive statistics and clearly states the outcome of any hypothesis and post-hoc tests you conducted.

Participant: 1, 2, 3, 4

Treatments A: 6, 4, 4, 6

   B: 3, 4, 2, 3

   C: 3, 2, 0, 3

   D: 0, 2, 2, 0