Questions
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 190000 dollars. Assume the standard deviation is 39000 dollars. Suppose you take a simple random sample of 96 graduates. Find the probability that a single randomly selected salary has a mean value between 184029.4 and 194776.5 dollars.

P(184029.4 < X < 194776.5) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n = 96 has a mean value between 184029.4 and 194776.5 dollars.

P(184029.4 < ¯ x < 194776.5) = (Enter your answers as numbers accurate to 4 decimal places.)

In: Statistics and Probability

You have just graduated from the MBA program of a large university, and one of your...

You have just graduated from the MBA program of a large university, and one of your favorite courses was Today’s Entrepreneurs. In fact, you enjoyed it so much you have decided you want to “be your own boss.” While you were in the master’s program, your grandfather died and left you $1 million to do with as you please. You are not an inventor, and you do not have a trade skill that you can market; however, you have decided that you would like to purchase at least one established franchise in the fast-foods area, maybe two (if profitable). The problem is that you have never been one to stay with any project for too long, so you figure that your time frame is 3 years. After 3 years you will go on to something else. You have narrowed your selection down to two choices: (1)Franchise L, Lisa’s Soups, Salads & Stuff, and (2)Franchise S, Sam’s Fabulous Fried Chicken. The net cash flows that follow include the price you would receive for selling the franchise in Year 3 and the forecast of how each franchise will do over the 3-year period. Franchise L’s cash flows will start off slowly but will increase rather quickly as people become more health-conscious, while Franchise S’s cash flows will start off high but will trail off as other chicken competitors enter the marketplace and as people become more health-conscious and avoid fried foods. Franchise L serves breakfast and lunch, whereas Franchise S serves only dinner, so it is possible for you to invest in both franchises. You see these franchises as perfect complements to one another: You could attract both the lunch and dinner crowds and the health-conscious and not-so-health-conscious crowds without the franchises directly competing against one another.

Here are the net cash flows (in thousands of dollars):

Expected Net Cash Flows
Year Franchise L Franchise S
0 ($100) ($100)
1 10 70
2 60 50
3 80 20

Depreciation, salvage values, net working capital requirements, and tax effects are all included in these cash flows.

You also have made subjective risk assessments of each franchise and concluded that both franchises have risk characteristics that require a return of 10%. You must now determine whether one or both of the franchises should be accepted.

Question: Please show all your work including formulas in excel if used.

You are also considering another project that has a physical life of 3 years—that is, the machinery will be totally worn out after 3 years. However, if the project were terminated prior to the end of 3 years, the machinery would have a positive salvage value. Here are the project’s estimated cash flows:

Year Initial Investment and Operation Cash Flows End of Year Ned Salvage Value
0 -5000 5000
1 2100 3100
2 2000 2000
3 1750 0

Using the 10% cost of capital, what is the project’s NPV if it is operated for the full 3 years? Would the NPV change if the company planned to terminate the project at the end of Year 2? At the end of Year 1? What is the project’s optimal (economic) life?

In: Finance

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $128,000. Assume the standard deviation is $43,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯¯¯XX¯? ¯¯¯XX¯ ~ N(,)
  3. For a single randomly selected graduate, find the probability that her salary is between $119,846 and $126,097.
  4. For a simple random sample of 15 graduates, find the probability that the average salary is between $119,846 and $126,097.
  5. For part d), is the assumption of normal necessary? NoYes

In: Statistics and Probability

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $167,000 dollars. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 96 graduates.

1) What is the standard deviation of the sampling distribution for this situation? Round to four places. Show work and answer using proper notation.

2) Find the probability that a single randomly selected salary has a value between $172,552 and $178,104. Your write up should include all of the following:

  • Define the variable you are using.
  • Use correct notation to label all quantities.
  • Show the calculations for the relevant z-scores using proper notation.
  • State or show how you found your final probability. You can use tables or StatCrunch, just specify what you did.
  • Write your answer using full and correct probability notation. Round to four places.

3) Find the probability that a random sample of size n=96n=96 has a mean value between $172,552 and $178,104.

  • Define the variable you are using.
  • Use correct notation to label all quantities.
  • Show the calculations for the relevant z-scores using proper notation.
  • State or show how you found your final probability. You can use tables or StatCrunch, just specify what you did.
  • Write your answer using full and correct probability notation. Round to four places.

Write your answers in complete sentence form.

Please be correct because this homework is very important for me. Thanks

In: Statistics and Probability

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 124000 dollars. Assume the standard deviation is 35000 dollars. Suppose you take a simple random sample of 52 graduates.

Find the probability that a single randomly selected salary is less than 128000 dollars. Answer = ?

Find the probability that a sample of size n=52 is randomly selected with a mean that is less than 128000 dollars. Answer = ?

Enter your answers as numbers accurate to 4 decimal places.

In: Statistics and Probability

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 167000 dollars. Assume the standard deviation is 32000 dollars. Suppose you take a simple random sample of 100 graduates.

Find the probability that a single randomly selected salary is more than 162000 dollars.
P(X > 162000) = _______

Find the probability that a sample of size n=100 is randomly selected with a mean that is more than 162000 dollars.
P(M > 162000) = _________

Enter your answers as numbers accurate to 4 decimal places.

In: Statistics and Probability

A survey of MBA graduates of a business school obtained data on the first-year salary after...

A survey of MBA graduates of a business school obtained data on the first-year salary after graduation and years of work experience prior to obtaining their MBA. The data are given in excel.

1. Run the regression analysis (Include all options). Report the least squares regression line. Give the 95% confidence interval for the least squares estimate of the slope. Report the correlation coefficient. Interpret.  Report the coefficient of determination. Interpret. and  Use the ANOVA output and write out the hypothesis being tested, the test statistic, the critical value, p-value, and fully write out the conclusion.

Experience Salary
8 113.9
5 112.5
5 109
11 125.1
4 111.6
3 112.7
3 104.5
3 100.1
0 101.1
13 126.9
14 97.9
10 113.5
2 98.3
2 97.2
5 111.3
13 124.7
1 105.3
5 107
1 103.8
5 107.4
5 100.2
7 112.8
4 100.7
3 107.3
3 103.7
7 121.8
7 111.7
9 116.2
6 108.9
6 111.9
4 96.1
6 113.5
5 110.4
1 98.7
13 120.1
1 98.9
6 108.4
2 110.6
4 101.8
1 104.4
5 106.6
1 103.9
4 105
1 97.9
2 104.6
7 106.9
5 107.6
1 103.2
1 101.6
0 99.2
1 101.7
6 120.1

In: Statistics and Probability

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 123000 dollars. Assume the standard deviation is 37000 dollars. Suppose you take a simple random sample of 69 graduates. Find the probability that a single randomly selected salary is less than 126000 dollars. Answer = Find the probability that a sample of size n = 69 is randomly selected with a mean that is less than 126000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.

In: Statistics and Probability

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of...

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $121,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 42 graduates. Round all answers to four decimal places if necessary. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected graduate, find the probability that her salary is between $122,679 and $130,519. For a simple random sample of 42 graduates, find the probability that the average salary is between $122,679 and $130,519. For part d), is the assumption of normal necessary? YesNo

In: Statistics and Probability

Compute in excel A college admission officer for an MBA program determines that historically candidates have...

Compute in excel

A college admission officer for an MBA program determines that historically candidates have undergraduate grade averages that are normally distributed with standard deviation of .45. A random sample of 25 applications from the current year yields a sample mean grade point average of 2.90. (i) Find a 95% confidence interval for the population mean, μ. (Round the boundaries to 2 decimal places.) (ii) Based on the same sample results, a statistician computes a confidence interval for the population mean as 2.81< μ < 2.99. Find the α for this interval and the probability content (1- α) as well. (Round to 4 digits.) (Note: the correct α is a higher number than traditional α used; so don’t worry if your number “looks” wrong!) Hint: first calculate α/2 using either the lower bound (2.81) or upper bound (2.99); then calculate α. Finally, calculate the probability content of the interval, which is (1- α). And make sure you use the standard error, not the standard deviation, to calculate α/2.

In: Math