For each of the scenarios below, determine how the total mass of the described object or system is changing, and say whether the scenario Increases the Mass, Decreases the Mass, or that the Mass Remains Unchanged:

A hot stone cooling down

A closed, thermally isolated box containing a controlled exothermic nuclearreaction

A closed, thermally isolated box containing a controlled exothermic chemicalreaction

A glass full of ice cubes melting

A compressed spring slowly relaxing

A car batter being charged

Suppose that k is a field which is not algebraically closed. a. Show that if I ⊂ k[x1, . . . , xn ] is maximal, then V(I) is either empty or a point in kn . Hint: Examine the proof of Theorem 11. b. Show that there exists a maximal ideal I in k[x1, . . . , xn ] for which V(I) = ∅. Hint: See the previous exercise. c. Conclude that if k is not algebraically closed, there is always a maximal ideal of k[x1, . . . , xn ] which is not of the form <x1 − a1, . . . , xn − an >

Data about Annabelle Company’s production and inventories for the month of June are as follows:

Annabelle Company applies factory overhead at 80% of direct labor cost. Over or under applied overhead is closed to cost of goods sold at year end. The company’s accounting period is on the calendar year basis/

Annabelle Company applies factory overhead at 80% of direct labor cost. Over or under applied overhead is closed to cost of goods sold at year end. The company’s accounting period is on the calendar year basis/

Provide the following:

1.Prime cost

2. Conversion Cost

3. Total Manufacturing Cost

4. Cost of Good Transferred to Finished Goods Inventory Account

5. Cost of Goods Sold

6. The amount of over/under applied overhead.

7. Cost of goods sold - after closing the over/under applied overhead

The following transactions were completed by Winklevoss Inc., whose fiscal year is the calendar year:

Required:

The Insurance company recently conducted an aggressive and expensive advertising campaign. The manager is trying to figure out how this campaign affected branch’s profits. The branch manager is pretty skeptical about the campaign and asked you to check whether there was any significant influence (positive or, maybe, negative). A sample is randomly selected of sales reps and calculated monthly combined profits of the policies sold by them before and after the advertising campaign. The sample is small, but as far as all conditions are satisfied we can use t-test for matched pairs. See the data in the data file. Provide Excel output.

1. Write the null and alternative hypotheses for this test using d = Before ─ After:
2. What is the value of the t-test statistic?
3. What is the associated P-value?
4. State the conclusion using α = 0.02. Do it using both P-value and critical value.

The efficacy of salt-free diets for controlling high blood pressure is studied for a sample of 8 patients.

Each has their diastolic blood pressure measured before going on the diet and after. The data appear below:

Assume the differences in blood pressure fit a normal distribution.

Use the matched pairs test and a 0.05 significance level to test the claim that the blood pressure before the diet is higher than the blood pressure after going on the diet.

a) Identify the Null and Alternative Hypotheses.

b) Find the critical value for the test.

c) Calculate the test statistic. Round off the descriptive statistics to one decimal place. Round off your test statistic to three decimal places.

d) What is your decision about the null hypothesis?

e) Write your conclusion about the claim.

What more data is required?

A mechanical. person is intrested in testing if tuning a car engine would improve the gas miliage. A simple random sample of 8 cars were selected to determine the milage (miles per gallon). Then each of the 8 cars were given a tune up
(SHOW WORK, please helpp)
Data:
After Tune up: 28.21, 29.4, 30.42, 29.67, 31.31, 29.68, 28.82, 29.38
Mean: 29.61
Standard Deviation: 0.94

Before Tune Up: 26.9, 26.37, 29.13, 28.46, 28.17, 27.67, 27.84, 27.18,
Mean: 27.72
Standard deviation: 0.89

Difference (After-Before): 1.31, 3.03, 1.29, 1.21, 3.14, 2.01, 0.98, 2.2,
Mean: 1.9
Standard Deviation: 0.84

1.) Are the 2 samples (Before and after Tune Mileage) independent or dependent? Explain

2.) Show which plot you would use to check your assumptions? Show picture of it

3.)Are their and serious violations of any other assumption plots? Explain

4.) What is your output? state below Explain why you chose this output

5.) What is your conclusion at a 5% confidence level?

1.)
A mechanical. person is intrested in testing if tuning a car engine would improve the gas miliage. A simple random sample of 8 cars were selected to determine the milage (miles per gallon). Then each of the 8 cars were given a tune up

Data
After Tune up: 28.21, 29.4, 30.42, 29.67, 31.31, 29.68, 28.82, 29.38
Mean: 29.61
Standard Deviation: 0.94

Before Tune Up: 26.9, 26.37, 29.13, 28.46, 28.17, 27.67, 27.84, 27.18,
Mean: 27.72
Standard deviation: 0.89

Difference (After-Before): 1.31, 3.03, 1.29, 1.21, 3.14, 2.01, 0.98, 2.2,
Mean: 1.9
Standard Deviation: 0.84

1.) Are the 2 samples (Before and after Tune Mileage) independent or dependent? Explain

2.) Show which plot you would use to check your assumptions? Show picture of it

3.)Are their and serious violations of any other assumption plots? Explain

4.) What is your output? state below Explain why you chose this output

5.) What is your conclusion at a 5% confidence level?

8. Given Qd = 100 PiQs = 20 + 3P, draw the diagram and answer the following questions!

What is the autarky price and quantity produced?

What is the Welfare of the country as a whole before trade?

If the world Price is $60, is this country a net importer or exporter? _________

And by how much? _________

What is the welfare of the country after trade? ____________

What is the net gain from trade?__________

9.The following relations describe monthly demand and supply for a computer support service catering to small businesses.

Q_d= 3000 – 10P

Q_s= -1000 + 10P

What is the autarky price and quantity produced?

What is the Welfare of the country as a whole before trade? ________________

If the world Price is $250, is this country a net importer or exporter? _________

And by how much? _________

What is the welfare of the country after trade? ____________

What is the net gain from trade?

10. The following relations describes the demand and supply for good x..

Q_d= 100 – 20P

Q_s= 20 + 20P

What is the autarky price and quantity produced?

What is the Welfare of the country as a whole before trade?

If the world Price is $1, is this country a net importer or exporter?

And by how much?

What is the welfare of the country after trade?

What is the net gain from trade? __________

1. The manufacturer of an Engine Energizer System (EES) claims that it improves gas mileage and reduces emissions in automobiles by using magnetic-free energy to increase the amount of oxygen in the fuel for greater combustion efficiency. Following are test results, performed under international and U.S. government agency standards, on a random sample of 14 vehicles. The data (also see file M09_Gas_Paired.txt) give the carbon monoxide (CO) levels, in parts per million, of each vehicle tested, both before installation of EES and after installation.