1-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample MEAN?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

2-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample MEDIAN?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

3-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample MODE?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

4-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample STANDARD DEVIATION?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

5-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample VARIANCE?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

6-

Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample COEFFICIENT OF VARIATION?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

7-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample RANGE?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

8-

Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample 35th PERCENTILE?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

9-Consider the below data for ALL PARTS of this question:

4 2 5 7 8 14 1   5 23 17

What is the sample INNER QUARTILE RANGE?

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Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; 3.562 is entered as 3.6; 0.3750 is entered as 0.4; 17.351 is entered as 17.4

You are planning to save for retirement. You would like to retire 22 years from today and you currently have $205,000 set aside. You anticipate saving $750 per month ($500 out of your pocket and $250 from a company match into your 401(k) plan. You anticipate earning an 8.7% rate of return over the next 9 years. After 9 years, you will up your monthly savings to $X per month (combined contribution from you and your employer into your 401(k) plan) over the last 13 years of your savings period. During this 13 year, you will lower your risk-return strategy so that the expected return will be 7.8%. Once you hit retirement, you want to take out $160,000 on the day you retire. After that you will take out money at the end of each year as follows: Years 1-7 $110,000 per year Years 8-15 $130,000 per year Years 16-21 $120,000 per year Finally, you want to have $300,000 remaining at the end of the 21-year retirement period and you anticipate earning 4.3% per year in retirement (Hint: Note that the $300,000 remaining is at year 21 of the retirement period so that your year 21 CF is $420,000 – the last $120,000 plus the $300,000). Figure out how much you need to save per month over the final 13 years leading to retirement in order to meet your plan.

Collect fifty pennies and record the year that each was minted. Once you have found the year each coin was minted determine the age of each coin in year Each student should have his or her own sample. Fill in the table below with the data you selected for your random sample:

Draw a histogram for the age of the coins (in years) for your sample. (You may use technology and insert the histogram below or you may print this document and draw it by hand. Be sure that, either way, it is neat and clearly labeled.)

Is the t-distribution valid in this problem? Explain why or why not – including any necessary calculations. (Remember there are three conditions you should be checking.)

Did you have any outliers? If so, describe them

Calculate the mean and standard deviation for your sample.

Use your sample to compute a 98% confidence interval for the mean age of pennies in circulation. Show all necessary calculations including the standard error and how you found the critical value. Write a sentence to describe the meaning of the confidence interval in the context of this problem.

We Know Coinz Ltd., a national numismatic organization, believes that the average age of pennies in circulation is greater (older) than that of the average age of quarters in circulation. They have estimated the average age of quarters in circulation to be approximately 16.75 years. Use the sample data you have collected to carry out the appropriate hypothesis test to answer the question: Is the average age of pennies in circulation greater than the estimated average age of quarters?

Write the null and alternative hypotheses you would use to investigate the answer to that question. Write them in symbolic notation AND write each hypothesis statement in a sentence.

Carry out the hypothesis test. Including: (1) make a sketch of the sampling distribution with the axis labeled to show the mean and standard error, (2) mark the sample mean and shade the appropriate area and (3) show calculations of the test statistic and the pvalue. Use a significance level of 0.05.

State your decision about the hypothesis test and then state your conclusion carefully in the context of this problem.

An ice cube whose mass is 50 g is taken from a freezer at a temperature of -10C and then dropped into a cup of water at 0C. If no heat is gained or lost from the outside, how much water will freeze onto the cup?

    For questions 2 – 8:  

There are three projects.  Binary variablesX₁, X₂, and X₃are defined as follows:

X_i=     1 if project i is selected, and

X_i=     0 if project i is not selected,           for i = 1, 2, 3.

2. Write a constraint to represent: “At least one of the three projects must be selected”.

3. Write a constraint to represent: “Between project 1 and project 2, exactly one is selected”.

4. Write a constraint to represent: “At most two projects of the three can be selected”.

5. Write a constraint to represent: “Project 2 and project 3 must go together.  That is, it is not allowed to select one while deselect the other”.

6. Write a constraint to represent: “The three projects can not be all selected.  There must be at least one that is not selected”.

7. Write a constraint to represent: “If project 2 is selected, then project 1 must be selected; but if project 2 is not selected, then there is no restriction on project 1”.

8. (Bonus question) Write a constraint to represent: “If project 1 is not selected, then project 2 must not be selected; but if project 1 is selected, then there is no restriction on project 2”.

A market research company examines the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

1) What is the appropriate test for this problem (1 points)?

2) Set up the null and alternative hypotheses (2 points).

3) Write the formula of the test statistic (2 points).

4) Calculate the test statistic based on the formula (5 points).

5) Use Excel to calculate the p-value. Should we reject the null hypothesis at 5% significance level (5 points)?

6) Given the results of the test, does it make sense to advertise wine during a televised tennis match (assuming that the ratings for the tennis match are high enough)? Explain. (5 points)

A market research company examines the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

1) What is the appropriate test for this problem (1 points)?

2) Set up the null and alternative hypotheses (2 points).

3) Write the formula of the test statistic (2 points).

4) Calculate the test statistic based on the formula (5 points).

5) Use Excel to calculate the p-value. Should we reject the null hypothesis at 5% significance level (5 points)?

6) Given the results of the test, does it make sense to advertise wine during a televised tennis match (assuming that the ratings for the tennis match are high enough)? Explain. (5 points)

Charlene is evaluating a capital budgeting project that should last for 4 years. The project requires $800,000 of equipment. She is unsure what depreciation method to use in her analysis, straight-line or the 3-year MACRS accelerated method. Under straight-line depreciation, the cost of the equipment would be depreciated evenly over its 4-year life (ignore the half-year convention for the straight-line method). The applicable MACRS depreciation rates are 33%, 45%, 15%, and 7%. The company's WACC is 14%, and its tax rate is 40%.

What would the depreciation expense be each year under each method? Round your answers to the nearest cent.

Which depreciation method would produce the higher NPV?
-Straight-Line or MACRS

How much higher would the NPV be under the preferred method? Round your answer to two decimal places. Do not round your intermediate calculations.
$

DEPRECIATION METHODS

Charlene is evaluating a capital budgeting project that should last for 4 years. The project requires $275,000 of equipment. She is unsure what depreciation method to use in her analysis, straight-line or the 3-year MACRS accelerated method. Under straight-line depreciation, the cost of the equipment would be depreciated evenly over its 4-year life (ignore the half-year convention for the straight-line method). The applicable MACRS depreciation rates are 33%, 45%, 15%, and 7%. The company's WACC is 11%, and its tax rate is 40%.

1. What would the depreciation expense be each year under each method? Round your answers to the nearest cent.

Year 1:

Year 2:

Year 3:

Year 4:

Which depreciation method would produce the higher NPV?
Straight-Line or MACRS?

How much higher would the NPV be under the preferred method? Round your answer to two decimal places. Do not round your intermediate calculations.

How many positive integers less than 1,000,000 have exactly one digit

that is 7 and the product of this digit (7) with the sum of other digits is

between 50 and 65?