7) During the last two decades, there has been an increase in income inequality in the United States.

Which of the following is a reason income inequality in the United States has increased?

A) There are sharply lower marginal tax rates now than in the 1970s.

B) Marginal tax rates have increased significantly since the 1970s.

C) There has been a great increase in efficiency of government antipoverty programs.

D) There has been a significant drop in the number of single-parent families.

8) Which of the following is correct regarding these income transfers?

A) Means-tested income transfers have more than doubled per-capita income during the period 1970–2014.

B) Means-tested government programs lead to lower implicit marginal tax rates.

C) Means-tested income transfers have not been very effective in reducing poverty.

D) Means-tested government programs are not linked to income levels.

9) As income transfer programs accompanying the War on Poverty increased beginning in the latter half of the 1960s, what happened to poverty in the United States? Check all that apply.

A) In 2014, the adjusted poverty rate was only 2 percentage points lower than the official rate in 1970.

B) The poverty rate declined substantially in the period before the War on Poverty, but not in the period after the start of the War on Poverty.

C) The adjusted poverty rate has declined rapidly and is now less than half of the official poverty rate.

D) The poverty rate in the United States declined substantially after the start of the War on Poverty.

10) Consider the following scenario in the state of Taxopia.

One family has an annual income of $100,000, while another family has an annual income of only $20,000. Under what circumstances would this outcome be considered unfair in terms of the process view of fairness?

A) The family with the high income has three income earners, whereas the family with the lower income has only one income earner.

B) In the family with the high income, both spouses work, whereas the family with the lower income relies on Social Security payments.

C) The family with the higher income is headed by a person who completed a college degree, whereas the other family is headed by someone with low educational achievement.

D) The family with the higher income derives most of its income from the farm subsidy program.

True or False: Please explain why

A Hotelling's T2 control chart is used to monitor processes with short production runs

A stock price is currently $40. Over each of the next two three-month periods it is expected to go up by 10% or down by 10% (meaning, precisely, if the stock price at the start of a period is $40, it will go to $40*1.1=$44 or to $40*0.9=$36 at the end of the period and if the stock price at the start of a period is $44, it will go to $44*1.1=$48.44 or to $44*0.9=$39.6 at the end of the period). The risk-free interest rate is 12% per annum with continuous compounding.

a. What is the value of a six-month European put option with a strike price of $42?

b. What is the value of a six-month American put option with a strike price of $42?

c. What is the value of a six-month American put option with a strike price of $45? What do you conclude about whether or not it is optimal to exercise this American option immediately (Hint: What would be the value of this American option if it were to be exercised immediately)

1. The common cricket can be used as a crude thermometer. The colder the temperature, the slower the rate of

chirping. The table below shows the average chirp rate of a cricket at various temperatures.

A) Determine the equation of the regression line for the given data (You may use your calculator to find the line). Round values to the nearest hundredth (two decimals).

B) State and interpret the vertical intercept of the regression line in the context of this problem. Be sure to include units in your interpretation.

C) State and interpret the slope of the regression line in the context of this problem. Be sure to include units in your interpretation.

D) State and interpret the correlation coefficient, r, in context.

E) What does the least squares regression line predict that the temperature will be if a cricket is chirping at a rate of 2 chirps per second? Determine the residual when x = 2. Does the regression line over or under estimate the temperature when a cricket chirps at a rate of 2 chirps per second?

An MRP exercise is being implemented over an 8-week period and the following relevant information is provided:

One (1) unit of A is made of two (2) units of B and three (3) units of C. One (1) unit of B is made up of three (3) units of D and two (2) units of E. One(1) unit of C is made up of two (2) units of B and two (2) units of D. Items A, C and E have one (1) week lead time. Items B and D have lead times of two (2) weeks. Assume that lot-for-lot (L4L) lot sizing is used for Items A, C and E and a lot size of 100 is used for items B and D. Items A and D have beginning inventories of twenty (20) and forty ( 40) units respectively; all other items have zero beginning inventory. We are scheduled to receive ten (10) units of item B in week two (2) and twenty (20) units of item D in week one (1). There are no other scheduled receipts.

a. Draw the product structure tree with low level coding.

b. Draw the corresponding time-phased diagram showing lead times to scale.

c. If fifty (50) units of A are required in Week eight (8), determine the necessary planned order releases for all components {five(5) schedules}

Table 3 and 4 present the particle size and index properties of soils. Use at least two methods to qualitatively identify the swell potential of the samples. Conclude on the effect of sand addition.

Table 4. Percentages of fines passing 75um size sieve.

Table 3. Atterberg limits of natural soil and mixtures with sand.

JAVA

Cricket County Selections

A local cricket county invited players from two neighbouring towns Norwich, Ipswich to form a cricket team of 11 players to participate in an upcoming cricket tournament. After selection process, it has shortlisted 22 players from both towns together and tagged each player skill points between 5 to 10 (both numbers included, only whole numbers are considered) based on their performance. The county has also categorised players into pool of batsmen, bowlers, wicket keepers and all-rounders. A player can only belong to one pool. Now the county has asked its final selection committee to pick 11 players from all shortlisted players following the below rules:

A minimum of 3 and a maximum of 6 batsmen must be selected.

• A minimum of 3 and a maximum of 6 bowlers must be selected.
• A minimum of 1 and a maximum of 4 Wicket Keeper must be selected.
• A minimum of 1 and a maximum of 4 All-rounders must be selected.
• A maximum of 7 players can be selected from each town.
• Skill points of selected players combined must not exceed 100 points.

Can you help the selection committee to understand in how many ways they can pick final 11?

Input Format

There will be 22 lines of input.

Each line of the input consists of skill of player, skill points of player and town of player space separately.

Constraints

5<= Skill Points <=10

Output Format

Print the total number of unique 11 member teams that can be formed with all the criteria mentioned in a separate line.

Sample TestCase 1

Input

Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Batsman 10 Ipswich
Bowler 10 Suffolk
Bowler 5 Suffolk
Bowler 5 Suffolk
WicketKeeper 10 Suffolk
AllRounder 10 Suffolk
Bowler 10 Suffolk
Bowler 10 Suffolk
Bowler 10 Suffolk
Bowler 10 Suffolk
Bowler 10 Suffolk
Bowler 10 Suffolk

Output

24486

Is the percentage average room rate increase from May to August affected by the number of stars of a hotel? In order to answer this question you are asked to use one way analysis of variance. 1.1 Compute the percentage Average Room Rate Increase from May to August for each hotel in the sample, rounding up to the second decimal. Call this variable PCT_ARR_INCREASE. 1.2 State the null and alternative hypotheses.

We have 3 columns ARR_MAY(AVERAGE ROOM RATE MAY) ,ARR_AUG(AVERAGE ROOM RATE AUG) AND STARS

STARS   ARR_MAY   ARR_AUG
5   95   160
5   94   173
5   81   174
5   131   225
5   90   195
5   71   136
5   85   114
4   70   159
4   64   109
4   68   148
4   64   132
4   59   128
4   25   63
3   76   130
3   40   60
3   60   70
3   51   65
3   65   90
2   45   55
1   35   90
4   22   51
4   70   100
3   60   120
3   40   60
3   48   55
2   52   60
2   53   104
2   80   110
2   40   50
1   59   128
4   90   105
3   94   104
2   29   53
2   26   44
1   42   54
1   30   35
2   47   50
1   31   49
1   35   45
1   40   55
1   40   55
1   35   40
3   40   55
4   57   97
2   35   40
5   113   235
5   61   132
5   112   240
5   100   130
4   87   152
4   112   211
4   95   160
4   47   102
4   77   178
4   48   91
3   60   104
3   25   33
5   68   140
4   55   75
3   38   75
3   45   70
3   45   90
5   100   180
4   180   250
3   38   84
3   99   218
3   45   95
2   28   40
2   30   55
1   16   35
3   40   70
2   60   100
1   16   20
2   22   41
2   55   100
1   40   100
1   80   120
1   80   120
1   18   35
3   80   100
2   30   45
1   40   65
1   30   50
1   25   70
1   30   35
4   215   265
4   133   218
2   35   95
2   100   150
2   70   100
5   60   90
5   119   211
5   93   162
5   81   138
5   44   128
5   100   187
5   98   183
5   100   150
5   102   211
5   103   160
4   40   56
4   69   123
4   112   213
4   80   124
3   53   91
4   73   134
4   94   120
4   70   100
3   40   75
3   50   90
3   70   120
3   80   95
3   85   120
3   50   80
3   30   68
3   30   100
2   32   55
2   50   90
2   70   120
2   30   73
2   94   120
4   100   180
2   70   120
2   19   45
2   35   70
2   50   80
1   25   45
1   30   50
2   55   80
3   95   120
1   25   31
1   16   40
1   16   40
1   19   23
1   30   40

PLEASE ANSWER QUESTION 1.1 AND 1.2 THANKS IN ADVANCE

The next two questions (7 and 8) refer to the following:

The weight of bags of organic fertilizer is normally distributed with a mean of 60 pounds and a standard deviation of 2.5 pounds.

7. What is the probability that a random sample of 33 bags of organic fertilizer has a total weight between 1963.5 and 1996.5 pounds?

8. If we take a random sample of 9 bags of organic fertilizer, there is a 75% chance that their mean weight will be less than what value? Keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places.

The next two questions (8 and 9) refer to the following:

Question 10 and 11

Suppose that 40% of students at a university drive to campus.

10. If we randomly select 100 students from this university, what is the approximate probability that less than 35% of them drive to campus?

Keep 6 decimal places in intermediate calculations and report your final answer to 4 decimal places.

11. If we randomly select 100 students from this university, what is the approximate probability that more than 50 of them drive to campus?

Keep 6 decimal places in intermediate calculations and report your final answer to 4 decimal places.

12. Suppose that IQs of adult Canadians follow a normal distribution with standard deviation 15. A random sample of 30 adult Canadians has a mean IQ of 112.

We would like to construct a 97% confidence interval for the true mean IQ of all adult Canadians. What is the critical value z* to be used in the interval? (You do not need to calculate the calculate the confidence interval. Simply find z*. Input a positive number since we always use the positive z* value when calculating confidence intervals.)

Report your answer to 2 decimal places.