The number of hours worked per year per adult in a state is normally distributed with a standard deviation of 37. A sample of 115 adults is selected at random, and the number of hours worked per year per adult is given below. Use Excel to calculate the 98% confidence interval for the mean hours worked per year for adults in this state. Round your answers to two decimal places and use ascending order.

Number of hours
2250
1987
2029
2018
1938
2197
2099
2228
2245
1913
1903
2298
2231
2200
1902
2161
2211
2124
2082
2257
2087
2123
1929
1948
2124
2013
1973
2000
2030
1932
1993
2014
2118
1900
2195
2222
2035
2088
2010
1962
2166
1918
2070
2277
2114
1975
2045
2050
1921
2103
1954
2017
2235
1993
2156
1984
2057
2200
2133
2144
2145
2219
2222
2210
2143
2163
2168
2246
2186
1907
2072
2142
2187
2036
2207
2270
2262
2159
1914
1926
2261
2006
1948
2028
2256
2182
1955
1969
1941
1924
2176
2256
2051
2111
2221
2222
2190
2068
1942
2024
2258
2201
2085
2061
2004
2260
2136
2244
1989
1941
2297
2159
2260
2093
2293

The dean of Mihaylo Business School is forecasting total student enrollment for next year based on the following historical data:

Year Total Enrollment

2015 1600

2016 2000

2017 2200

2018 2600

2019 3000

What is 2020's forecast using a 2-period moving average? Select one:

a. 2,800

b. None of the choices

c. 3,000

d. 1,960

e. 2,450

What is the MAPE value based on 2 year moving average?
Select one:

a. None of the choice
b. 0.191
c. 0.178
d. 0.144
e. 0.237

What is the forecasted value of 2020 by using a 3 year weighted moving average by using weights of 0.6, 0.3 and 0.1.
Select one:
a. 2480
b. 2800
c. 2680
d. None of the choices
e. 2400
a. None of the choice
b. 0.191
c. 0.178
d. 0.144
e. 0.237

What is the MSE value based on exponential smoothing forecast with smoothing constant of 0.4?
Select one:
a. 1,557,436
b. None of the choices
c. 576
d. 1,297,863
e. 357,985

Compare 2 year moving average and exponential smoothing with alpha=0.4, which forecasting approach is better? Using MAE as your forecast accuracy measure.
Select one:
a. Exponential smoothing with alpha=0.4
b. 2 year moving average

The dean of Mihaylo Business School is forecasting total student enrollment for next year based on the following historical data: Year Total Enrollment 2015 1600 2016 2000 2017 2200 2018 2600 2019 3000 What is 2020's forecast using a 2-period moving average? Select one: a. 2,800 b. None of the choices c. 3,000 d. 1,960 e. 2,450 What is the MAPE value based on 2 year moving average? Select one: a. None of the choice b. 0.191 c. 0.178 d. 0.144 e. 0.237 What is the forecasted value of 2020 by using a 3 year weighted moving average by using weights of 0.6, 0.3 and 0.1. Select one: a. 2480 b. 2800 c. 2680 d. None of the choices e. 2400 a. None of the choice b. 0.191 c. 0.178 d. 0.144 e. 0.237 What is the MSE value based on exponential smoothing forecast with smoothing constant of 0.4? Select one: a. 1,557,436 b. None of the choices c. 576 d. 1,297,863 e. 357,985 Compare 2 year moving average and exponential smoothing with alpha=0.4, which forecasting approach is better? Using MAE as your forecast accuracy measure. Select one: a. Exponential smoothing with alpha=0.4 b. 2 year moving average

The table below gives the annual total returns on Global Balanced Index Fund from 1999 to 2008. The returns are in the local currency. Use the information in this table to answer the following questions:

1. (5.0 pts) Calculate the mean absolute deviation (MAD).

2. (4.0 pts) Calculate the variance.

Solution

3. (2.0 pts) Calculate the standard deviation.

Solution

3. (4.0 pts) Calculate the semi variance (the average squared deviation below the mean), a measure of downward risk.

Solution:

Workers are compensated by firms with “benefits” in addition to wages and salaries. The most prominent benefit offered by many firms is health insurance. Suppose that in 2000, workers at one steel plant were paid $35 per hour and in addition received health benefits at the rate of $7 per hour. Also suppose that by 2010 workers at that plant were paid $36.75 per hour but received $31.5 in health insurance benefits.

a. By what percentage did total compensation (wages plus benefits) change at this plant from 2000 to 2010?

total compensation increased or decreased(choose one) by _______ percent

What was the approximate average annual percentage change in total compensation?

b. By what percentage did wages change at this plant from 2000 to 2010?

wages increased or decresed (choose one) by ________ percent

What was the approximate average annual percentage change in wages?

c. If workers value a dollar of health benefits as much as they value a dollar of wages, by what total percentage will they feel that their incomes have risen over this time period?

What if they only consider wages when calculating their incomes?

incomes increased or decreased (choose one) by _____ percent

d. Is it possible for workers to feel as though their wages are stagnating even if total compensation is rising?

The town of Cypress Creek is preparing to go to war against the American government. To do this, it is building a giant satellite laser! To build the laser, the government of the town will resort to taxation to fund its expenditure. The initial economy of Cypress Creek can be expressed by the following agents:

Consumers, C = 25 + 0.95(Y-T)

Output, Y = 5000

Government expenditures, G = 2000

Taxation, T = 2000

Investors, I = 750-125r

Markets are fully competitive and the equilibrium condition for markets are:

Goods and service market: Y =C + I + G

Financial market: I = S

When it builds the Satellite, government and taxation change to

Government expenditures, G = 4000

Taxation, T = 4000

Hank Scorpio, the towns' founder, announces that "even by increasing government spending and

taxation, we are not worst off, as production has not changed!"

i) [2 points] check to make sure output does not change.

j) [2 points] find the consumption level in both scenario's (low and high government spending)

k)[3 points] who is paying for the burden of taxation? (how is this new spending/taxation being

distributed between investors and consumers)

l)[2 points] as the government increases its spending (G from 2000 to 4000) why won't output

change?

1. During the spring of 1999, many fuel storage facilities in Serbia were destroyed by bombing. As a result, significant quantities of oil products were spilled and burned, resulting in soil pollution. An article reports measurements of heavy metal concentrations at several industrial sites in June 1999, just after the bombing, and again in March of 2000. At the Smederevo site, on the banks of the Danube River, eight soil specimens taken in 1999 had an average lead concentration (in mg/kg) of 10.7 with a standard deviation of 3.3. Fifteen specimens taken in 2000 had an average lead concentration of 33.8 with a standard deviation of 0.50. Let μXμX represent the population mean for the year 2000 and let μYμY represent the population mean for the year 1999. Find a 95% confidence interval for the difference μX−μYμX−μY. Round down the degrees of freedom to the nearest integer and round the answers to three decimal places.

The 95% confidence interval is (, ).

2. In a survey of 500 residents in a certain town, 272 said they were opposed to constructing a new shopping mall. Can you conclude that more than half of the residents in this town are opposed to constructing a new shopping mall? Find the P-value and state a conclusion. Round the answer to four decimal places.

The P-value is_.

(Hybrid Harrod-Domar-Solow Model) An economy has a population of 2 million, the current capital stock of $6 billion, and a current GDP of $3 billion. The savings rate is a constant 8% and depreciation rate is 3%. The population growth rate is 0. Its production function is given by Yt=AtKt, where Yt denotes GDP, Kt denotes capital stock and At denotes productivity of capital in year t. Capital productivity will remain at its current level until the economy achieves a per capita income of $2000. Between per capita income of $2000 and $3000, capital productivity will be at a constant level, which will be 10% lower than what it is currently, owing to some natural resource (energy) constraints. Between per capita income of $3000 and $4000, capital productivity will also be at a constant level, which will be 10% lower what it would be between per capita income of $2000 and $3000. And so on: for every successive range of per capita income of a thousand dollars, capital productivity will be (constant at a level which is) 10% lower what it was for the previous range.

A) Calculate the current and future growth rates of per capita income. how will they differ?

B) What will the growth rate and level of per capita income be in the long-run?

Segment profitability Calculation

(Please show both the calculation process and the final answer)

Q1 What is the margin ($ dollar value) of each segment (experientials, indulgents and frugals) per customer per year for Red Lobster according to the table below?

(hint: food margin($)for each customer+ alcohol margin($)for each customer)

Q2 Which segment is the most profitable and should be target at according to results in Q1?

Q3 Calculate each segment’s total margin change ($) if Red Lobster gain 2000 new unique Experiential customers, but lose 1000 Indulgent and 1000 Frugals.

Q4 Calculate the restaurant level total margin($)change if Red Lobster gain 2000 new unique Experiential customers, but lose 1000 Indulgent and 1000 Frugals.