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.)

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

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

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.

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.

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.

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

Please solve the hypothesis testing problems (#1, and 2) using Minitab as the tool. For each problem, (1) specify the business and statistical hypotheses, (2) specify what the Type I and Type II errors are in this business context, and, the implications of making those errors, (3) include the results from Minitab, (4) draw appropriate conclusions to your statistical hypotheses based on the results, and, finally, (5) present the business conclusions in a short non-statistical summary.

After receiving your bachelor’s degree in personnel management, you were hired by a small but expanding life insurance company. Your first assignment is to develop a more efficient technique for the preliminary screening of applicants for sales positions. Since the firm employs only college graduates, you decide to work with information focusing on their performance during college.

A random sample of 25 from the firm’s current sales force is selected and the following information is obtained:

Last year’s performance evaluation score

College grade point average (GPA)

Percent of total college expenses earned by the individual

Number of social organizations the individual belonged to

                                    Percent of        Number of

Performance                Expenses          Social

Score               GPA    Earned             Organizations

43                    2.1       50                    2

47                    2.8       20                    5

53                    2.6       10                    3

56                    2.7       60                    1

57                    3.8       0                      0

64                    2.6       30                    2

68                    3.2       10                    1

68                    2.8       30                    2

74                    2.6       10                    2

75                    2.9       40                    1

77                    3.0       30                    0

78                    3.2       15                    1

81                    3.4       20                    2

83                    2.8       40                    3

87                    2.6       60                    5

88                    3.1       50                    0

89                    2.4       80                    4

90                    3.3       10                    2

91                    2.9       50                    6

92                    3.5       40                    1

93                    3.7       30                    2

94                    3.1       20                    5

95                    3.6       70                    1

96                    3.2       10                    4

97                    3.4       40                    0

Who are we as a country? With all the demographic changes currently under way, and given how political ideology divides us, can our political culture truly continue to bring us together?

Enron: The Smartest Guys in the Room

Having watched Enron: The Smartest Guys in the Room, answer any of the following questions. Provide examples from the film.

What ethical issues does the film raise?

Who do you consider the most immoral person in the film? Why?

Who do you consider most responsible for the immoral and illegal activities of Enron? Why?

Do you admire anyone in the film for their moral character and/or courage? If so, who and why?

What might this film teach us about the ethics of being a professional? Explain.