Consider a binomial experiment with n=.14 with and p= 0.2.

a. Compute F(0) (to 4 decimals).

b. Compute f(12) (to 4 decimals).

c. Compute P(x< or equal to 1) (to 4 decimals).

d. Compute P(x >or equal to 4) (to 4 decimals).

e. Compute E(x) (to 1 decimal).

f. Compute Var(x) and mean . (to 2 decimals) (to 2 decimals)

1. using the following data set, write a null hypothesis. Record both a generic version (through the use symbols) and an English version (using words) – for the generic version.

2. Compose an alternative hypothesis to accompany the test. Record both a generic version (through the use of symbols) and an English version (using words) – for the generic version.

3. What type of test should be used?

4. Interpret the results.

id	Pre	Post
1	2	4.00
2	2	4.00
3	4	6.00
4	1	0.00
5	4	6.00
6	3	5.00
7	0	2.00
8	2	3.00
9	7	6.00
10	5	4.00

A 10 year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (100 times ) that a person will have a stroke over the next 10 year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker.

Risk		Age	Blood Pressure		Smoker
20		83	196		1
36		65	132		1
14		66	112		0
63		56	142		0
26		69	137		0
47		79	143		1
7		66	111		1
26		77	212		0
33		74	150		1
23		87	143		0
38		82	141		0
36		71	145		0
22		55	103		0
59		63	218		0
36		64	198		1
35		66	217		1
37		65	118		0
37		77	118		0
16		88	200		1
39		78	107		0

a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood pressure level. Enter negative value as negative number. Use Table 4 in Appendix B.

The regression equation is (to 4 decimals)

s= (to 4 decimals) r^2= (to 4 decimals) adjusted r= (to 4 decimals)

Analysis of Variance

SOURCE DF SS (to 2 decimals) MS (to 2 decimals) (to 2 decimals) -value (to 4 decimals) Regression Residual Total

b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood pressure level and the other for whether the person is a smoker. Develop an estimated regression equation using these four independent variables. Enter negative value as negative number. Use Table 4 in Appendix B.

The regression equation is (to 4 decimals)

risk=

s= (to 4 decimals) r^2= (to 4 decimals) adjusted r= (to 4 decimals)

Analysis of Variance

SOURCE DF SS (to 2 decimals) MS (to 2 decimals) (to 2 decimals) -value (to 4 decimals) Regression Residual Total

4.            What is the empirical probability of a loss? [Topic 2]

Date      OLIM Int.

15/6/2014          2.36

22/6/2014          2.46

29/6/2014          2.52

6/7/2014             2.46

13/7/2014          2.44

20/7/2014          2.54

27/7/2014          2.46

3/8/2014             2.42

10/8/2014          2.54

17/8/2014          2.53

24/8/2014          2.65

31/8/2014          2.64

7/9/2014             2.56

14/9/2014          2.54

21/9/2014          2.4

28/9/2014          2.3

5/10/2014          2.2

12/10/2014        2.08

19/10/2014        2.06

26/10/2014        2.13

2/11/2014          2.11

9/11/2014          2.25

16/11/2014        2.24

23/11/2014        2.16

30/11/2014        2.09

7/12/2014          2.04

14/12/2014        2.11

21/12/2014        2.09

28/12/2014        2.04

4/1/2015             2.01

11/1/2015          1.96

18/1/2015          2

25/1/2015          1.975

1/2/2015             2.03

8/2/2015             2

15/2/2015          2

22/2/2015          2

1/3/2015                     2

8/3/2015                     2.01

15/3/2015          1.98

22/3/2015          1.99

29/3/2015          2

5/4/2015                     2.03

12/4/2015          2.05

19/4/2015          2

26/4/2015          2.02

3/5/2015             2

10/5/2015          1.98

17/5/2015          1.985

24/5/2015          1.985

31/5/2015          1.88

7/6/2015                      1.885

14/6/2015          1.865

21/6/2015          1.865

28/6/2015          1.885

5/7/2015             1.825

12/7/2015          1.79

19/7/2015          1.78

26/7/2015          1.84

2/8/2015             1.8

9/8/2015             1.8

16/8/2015          1.755

23/8/2015          2.07

30/8/2015          1.98

6/9/2015             1.975

13/9/2015          2.04

20/9/2015          1.995

27/9/2015          2

4/10/2015          2

11/10/2015        2

18/10/2015        1.98

25/10/2015        2

1/11/2015          1.99

8/11/2015          1.915

15/11/2015        1.845

22/11/2015        1.82

29/11/2015        1.805

6/12/2015          1.77

13/12/2015        1.81

20/12/2015        1.835

27/12/2015        1.82

3/1/2016             1.695

10/1/2016          1.665

17/1/2016          1.63

24/1/2016          1.62

31/1/2016          1.61

7/2/2016             1.58

14/2/2016          1.585

21/2/2016          1.61

28/2/2016          1.755

6/3/2016                     1.74

13/3/2016          1.745

20/3/2016          1.74

27/3/2016          1.69

3/4/2016             1.655

10/4/2016          1.72

17/4/2016          1.725

24/4/2016          1.65

1/5/2016             1.595

8/5/2016             1.6

15/5/2016          1.705

22/5/2016          1.815

29/5/2016          1.835

5/6/2016                       1.86

12/6/2016          1.815

19/6/2016          1.855

26/6/2016          1.88

3/7/2016             1.91

10/7/2016          1.885

17/7/2016          1.88

24/7/2016          1.91

31/7/2016          1.83

7/8/2016             1.85

14/8/2016          1.96

21/8/2016          2.06

28/8/2016          2.07

4/9/2016             2.09

11/9/2016          2.03

18/9/2016          2.04

25/9/2016          2.06

2/10/2016          2.05

9/10/2016          2.07

16/10/2016        2.06

23/10/2016        2.1

30/10/2016        2.08

6/11/2016          2.1

13/11/2016        1.95

20/11/2016        1.96

27/11/2016        2.02

4/12/2016          2.07

11/12/2016        2.13

18/12/2016        2

25/12/2016        1.97

1/1/2017             2

8/1/2017             2.06

15/1/2017          1.995

22/1/2017          2

29/1/2017          2.01

5/2/2017             2.02

12/2/2017          2.1

19/2/2017          2.06

26/2/2017          2

5/3/2017             1.975

12/3/2017          1.93

19/3/2017          1.86

26/3/2017          1.92

2/4/2017             1.955

9/4/2017             1.91

16/4/2017          1.91

23/4/2017          1.91

30/4/2017          1.9

7/5/2017             1.96

14/5/2017          1.995

21/5/2017          2.07

28/5/2017          2.02

4/6/2017             2.03

11/6/2017          2

18/6/2017          1.96

25/6/2017          1.95

2/7/2017             1.915

9/7/2017             1.94

16/7/2017          1.945

23/7/2017          1.93

30/7/2017          1.96

6/8/2017             1.95

13/8/2017          2.02

20/8/2017          2.1

27/8/2017          2.06

3/9/2017             2.02

10/9/2017          2.01

17/9/2017          2.01

24/9/2017          2.02

1/10/2017          2.14

8/10/2017          2.22

15/10/2017        2.29

22/10/2017        2.35

29/10/2017        2.36

5/11/2017          2.33

12/11/2017        2.19

19/11/2017        2.2

26/11/2017        2.25

3/12/2017          2.19

10/12/2017        2.16

17/12/2017        2.07

24/12/2017        2.03

31/12/2017        2.04

7/1/2018             2.09

14/1/2018          2.11

21/1/2018          2.19

28/1/2018          2.22

4/2/2018             2.08

11/2/2018          2.17

18/2/2018          2.26

25/2/2018          2.23

4/3/2018             2.4

11/3/2018          2.34

18/3/2018          2.37

25/3/2018          2.34

1/4/2018             2.34

8/4/2018             2.35

15/4/2018          2.29

22/4/2018          2.28

29/4/2018          2.18

6/5/2018             2.3

13/5/2018          2.29

20/5/2018          2.28

27/5/2018          2.19

3/6/2018             2.21

10/6/2018          2.17

Assignment Purpose

The purpose of this lab is to write a well commented java program that demonstrates the use of one dimensional arrays and methods.(Need Comment, Write by Java Code)

Instructions

1. Write a method rotateArray that is passed to an array, x, of integers (minimum 7 numbers) and an integer rotation count, n. x is an array filled with randomly generated integers between 1 and 100.
2. The method creates a new array with the items of x moved forward by n Elements that are rotated off the array will appear at the end. Forward rotation means moving elements from right to left on paper. For example, suppose x contains the following items in sequence:

1 2 3 4 5 6 7 and the value of n = 3

3. Your program should first calculate the sum of numbers at even indexes (consider 0 as even) which in this case is 1 + 3 + 5 + 7 = 16, and then average of numbers at odd indexes which in this case is (2 + 4 + 6) / 3 = 4.
4. After that it should make a call to rotateArray with arguments as x and n.

Sample output

-----------------------Output Begins-------------------------

The randomly generated integers in array are: 1 2 3 4 5 6 7

Sum of numbers at even indexes = 16

Average of numbers at odd indexes = 4

Enter rotation count: 3

Calling rotateArray with rotation count as 3………

After 1^st rotation the array contents are         2 3 4 5 6 7 1

After 2^nd rotation the array contents are        3 4 5 6 7 1 2

After 3^rd rotation the array contents are        4 5 6 7 1 2 3

-----------------------End of Output----------------------------

So after rotating by 3, the elements in the new array will appear in this sequence:

4 5 6 7 1 2 3

Assignment Purpose

The purpose of this lab is to write a well commented java program that demonstrates the use of one dimensional arrays and methods.

Instructions

1. Write a method rotateArray that is passed to an array, x, of integers (minimum 7 numbers) and an integer rotation count, n. x is an array filled with randomly generated integers between 1 and 100.
2. The method creates a new array with the items of x moved forward by n Elements that are rotated off the array will appear at the end. Forward rotation means moving elements from right to left on paper. For example, suppose x contains the following items in sequence:

1 2 3 4 5 6 7 and the value of n = 3

3. Your program should first calculate the sum of numbers at even indexes (consider 0 as even) which in this case is 1 + 3 + 5 + 7 = 16, and then average of numbers at odd indexes which in this case is (2 + 4 + 6) / 3 = 4.
4. After that it should make a call to rotateArray with arguments as x and n.

Sample output

-----------------------Output Begins-------------------------

The randomly generated integers in array are: 1 2 3 4 5 6 7

Sum of numbers at even indexes = 16

Average of numbers at odd indexes = 4

Enter rotation count: 3

Calling rotateArray with rotation count as 3………

After 1^st rotation the array contents are         2 3 4 5 6 7 1

After 2^nd rotation the array contents are        3 4 5 6 7 1 2

After 3^rd rotation the array contents are        4 5 6 7 1 2 3

-----------------------End of Output----------------------------

So after rotating by 3, the elements in the new array will appear in this sequence:

4 5 6 7 1 2 3

Assignment Purpose

The purpose of this lab is to write a well commented java program that demonstrates the use of one dimensional arrays and methods.

Instructions

1. Write a method rotateArray that is passed to an array, x, of integers (minimum 7 numbers) and an integer rotation count, n. x is an array filled with randomly generated integers between 1 and 100.
2. The method creates a new array with the items of x moved forward by n Elements that are rotated off the array will appear at the end. Forward rotation means moving elements from right to left on paper. For example, suppose x contains the following items in sequence:

1 2 3 4 5 6 7 and the value of n = 3

3. Your program should first calculate the sum of numbers at even indexes (consider 0 as even) which in this case is 1 + 3 + 5 + 7 = 16, and then average of numbers at odd indexes which in this case is (2 + 4 + 6) / 3 = 4.
4. After that it should make a call to rotateArray with arguments as x and n.

Sample output

-----------------------Output Begins-------------------------

The randomly generated integers in array are: 1 2 3 4 5 6 7

Sum of numbers at even indexes = 16

Average of numbers at odd indexes = 4

Enter rotation count: 3

Calling rotateArray with rotation count as 3………

After 1^st rotation the array contents are         2 3 4 5 6 7 1

After 2^nd rotation the array contents are        3 4 5 6 7 1 2

After 3^rd rotation the array contents are        4 5 6 7 1 2 3

-----------------------End of Output----------------------------

So after rotating by 3, the elements in the new array will appear in this sequence:

4 5 6 7 1 2 3

Demand Schedule						Supply Schedule
Price	Jake	Chris	Tanner	Antwan		Price	Taylor	Shaina	Digger	Amelia
0.1	20	16	6	8		0.1	1	1	1	1
0.5	18	12	4	6		0.5	2	2	2	1
1	14	10	3	5		1	3	4	4	2
1.5	12	8	3	4		1.5	4	7	6	4
2	6	6	2	2		2	6	11	8	8
2.5	2	4	1	1		2.5	9	13	12	11
3	1	2	1	1		3	11	14	14	12
3.5	1	1	1	1		3.5	13	15	15	13

1. Copy and paste the data into Excel (or, do it by hand). Tabulate market demand and supply, plot these curves, and add a linear trend line for each. Make sure there is one figure that shows both supply and demand together. Give me a function that approximates the demand and supply trends that you plot.
2. Estimate the equilibrium price and quantity in this market (hint: use the trend lines). Prices are in dollars $ and tattoos are in each.
3. What consumers appear to have the highest willingness to pay for temporary tattoos? Is there a consumer that seems to have a fairly inelastic demand for tattoos?
4. Calculate own price elasticity of demand for tattoos for when the price increases from $1 to $1.50 (hint: |e|=%∆Q/%∆P). Use the midpoint formula). Is market demand elastic, inelastic, or unit elastic?
5. If the advertising elasticity of demand is 3.4, what effect will a 1% change in ad spending have on quantity demanded in this market? Is demand ad sensitive?
6. This is your chance to be creative. Give me a quick story or scenario in which there might be a negative supply shock to the temporary tattoo market. What do you predict the effect to be on equilibrium price and quantity? Show in your figure (draw/sketch a new trend line in to illustrate).
7. What is a potential long-run condition brought about by this shock? As profits in this market trend upward after your shock, what do you expect to happen to the market structure in the long-run? Be specific (there are numerous correct answers).

7) In order to maximize profits, the firm should adjust its output level to that point at which marginal

cost equals average revenue. This statement is true for

1. perfect competition

2. monopoly

3. monopolistic competition

4. oligopoly

A) 2 and 3

B) 2, 3, and 4

C) 1 and 3

D) 1 only