A

2010

poll asked people in the United States whether they were satisfied with their financial situation. A total of

338

out of

833

people said they were satisfied. The same question was asked in

2012

, and

304

out of

1156

people said they were satisfied.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

(a) Construct a

99.8%

confidence interval for the difference between the proportions of adults who said they were satisfied in

2012

and

2010

. Let

p1

denote the proportion of adults who said they were satisfied in

2010

.Use tables to find the critical value and round the answer to at least three decimal places.

The concentration of sugar (glucose, C₆H₁₂O₆) in human blood ranges from about 80 mg/dL before meals to 120 mg/dL after eating. The abbreviation dL stands for deciliter = 0.1 L. Find the molarity of glucose in blood before and after eating.

Steam is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam
enters the high-pressure turbine at 8.0MPa, 480̊C, and expands to 0.6MPa. It is then reheatedto 450̊C before entering the low-pressure turbine where it expands to the condenser pressure of 10kPa. The net power output is 110MW.

A closed feedwater heater (CFWH) which uses steam extracted fromthe low-pressure turbine at 0.5MP. The extracted steam leaves the CFWH as a saturated liquid and is then pumped up to the boiler pressure before mixing with the feedwater. The feedwater leaves the CFWH at the same temperature as the now condensed extracted steam leaving the CFWH.
i.Plot the cycle on a T-s diagram, labeling all states.
ii.Thermal efficiency of the cycle
iii.The mass flow rate of steam, in kg/s
iv.The rate of heat transfer from the condensing steam as it passes through the condenser, in MW

Data Table A

Data Table B

% Difference= 2×(Change in momentum-Impulse)(Change in momentum+Impulse)×100=

Questions

1. What are possible reasons why the change in momentum is different from the measured impulse?
2. How will raising the end of the Dynamics Track give the cart the same acceleration each time?
3. Compare the impulse and force for an abrupt (hard) and a cushioned (soft) collision. Use words and also sketch the force vs. time graphs.

Summary:

Khalid, a statistics lecturer at King Faisal University, wanted to find the effects of special tutoring on scores achieved by 12 students. The lecturer administered the same exame before and after the tutoring period. The scores are displayed as below.

Before: 75, 64, 58, 82, 90, 55, 72, 57, 64, 88, 63, 79, 64, 65, 64, 71, 85, 74, 76, 78

After: 78, 62, 64, 82, 92, 54, 70, 68, 75, 92, 65,75, 62, 63, 70, 72, 80, 71, 78, 80

..

Use the sign test at 1% level of significance to test the null hypothesis that on the average the effects of special tutoring on scores before and after are equal against the alternative hypothesis that the effect after the special tutoring is better than before. [6 marks]

Please show work and explain.

To test the effectiveness of a business school preparation course, 9 students took a general business test before and after the course. The results:

(a) Use an appropriate hypothesis test, at 0.01 level of significance, to determine whether there is evidence of a difference between before and after scores of the students.

(b) What assumption is necessary to perform the hypothesis test in (a)?

(c) Construct a 99% confidence interval estimate of the mean difference in before and after scores. Interpret the interval. What is your decision based on this confidence interval estimate?

(d) Compare the results in (a) and (c).

You are able to obtain, for a sample of 9822 individuals,

information about their alcohol consumption habits. This data is shown

in the excel spreadsheet named alcohol data.xlsx. The data contains the

following variables:

id: unique identier for each individual i

abuse before tax: takes value 1 if individual reports that she abused

of alcohol before the tax liquor was introduced in Calgary, 0 if she

reports that she did not abuse of alcohol before the tax liquor was

introduced in Calgary

abuse after tax: takes value 1 if individual reports that she abused of

alcohol after the tax liquor was introduced in Calgary, 0 if she reports

that she did not abuse of alcohol after the tax liquor was introduced in

Calgary

For person i in the sample, Yi denotes the change in alcohol abuse between

after and before the tax is introduced. The mean of Y in the population is

.

1. The null hypothesis is that there was no change in alcohol abuse after

the adoption of the tax on liquor. State this formally in terms of .

2. The alternative hypothesis is that there alcohol abuse decreased after

the adoption of the tax on liquor. State this formally in terms of .

• You have married into a family business and you are in charge of the finances. Your father-in-law is considering an IPO and has asked you to come up with estimates for the equity value. Here are the figures you have been able to come up with so far:

• 2020 free cash flow: $800,000 - 2020 EBIT: $1.0MM
• 2021 free cash flow: $840,000 - 2020 Earnings: $550,000
• 2022 free cash flow: $882,000 - Total debt: $1MM
• Annual FCF growth after 2022: 5% - 2020 Depreciation: $200,000
• Company WACC (discount rate): 12%
• Liquidation value of assets: $12.3MM
• 2020 accounts payable: $300,000
• Overall PE ratio for similar companies: 20x
• EV / EBITDA multiple that similar companies have sold for: 10x

Please develop an equity valuation for the business using the free cash flow valuation method. Please also provide three additional equity valuations, using other methods.

Magpie Ltd enters into a non-cancellable two-year lease agreement with Tiger Ltd for an item of machinery on 1 January 2020. Magpie Ltd pays $15,000 on signing the agreement with Tiger Ltd on 1 January 2020. There are eight quarter payments of $10,000, the first being made on 31 March 2020. Included within the $10,000 lease payments is an amount of $1,000 representing payment to the lessor for insurance and maintenance of the machinery. The machinery is to be depreciated on a straight-line basis. The machinery is expected to have an economic life of five years, after which time it will have a zero-salvage value. There is a purchase option Magpie Ltd will be able to exercise at the end of the second year for $30,000. If this purchase option is exercised, the machinery will be transferred to Magpie Ltd. The rate of interest implicit in the lease is 12%. Refer to the appendix for the tables of Present Value Factor for a single future amount and Present Value of an ordinary annuity of $1.

Prepare the lease payments schedule for Magpie Ltd from 1 January 2020 to 30 June 2020.