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 your own words, does our society hold unrealistic expectations about sexuality and aging? Explain.

Explain in your own words Five factors about The country of  Mexico environment which discourages or impacts negatively on foreign direct investment and trade (include legal, political and socio-cultural factors)

Note : the answers should be computerized - Please do not copy and paste from the internet (include legal, political and socio-cultural factors)

Explain and give your opinion about Madison’s idea of factions and how electing elite representatives can reduce the problem.

Evaluate some background research on the Central Limit Theorem. Then discuss in scholarly detail using examples researched or based on life experiences how the Central Limit Theorem is used to answer questions about a sample population where data collected does not potentially fall under a normal bell curve?   

Please describe in as much detail as possible-

Interviews/Focus Groups

Surveys/Questionnaires

Public Meetings

As data sources for community health planning from a population viewpoint. Thank you! Just need information on everything about them when doing a data assessment for community health for a population viewpoint.

A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted, and the following conductivity data are obtained:

a) Is there a difference in conductivity due to a coating type? Use α= 0.05.

b) Estimate the overall mean and the treatment effects.

c) Calculate a confidence interval with 95% for the average coating type 4 and calculate the confidence interval with 99% for the difference between the average coating types 1 and 4.

d) Test all pairs of means using the Fisher LSD method with α= 0.05.

e) Use the graphical method discussed in section 3-5.3 to compare the means. What is the type of coating which produces the highest conductivity?

f) Assuming that coating type 4 is currently being used, what would you recommend to manufacturer? It wants to minimize conductivity.

g) Analyze the residuals and draw conclusions about the adequacy of the model.

Ana an employee earns $33 per hour. She worked 53 hours the third week of January.

Federal Income Tax rate = 20%
State Income Tax rate = 5%
FICA rate SOC SEC = 6.2% and Medicare = 1.45%
FUTA rate = .8%
SUTA rate = 5.6%
Red Cross =$10
Pension = $25
PROVIDE CALCULATIOS FOR:
1. Gross pay (2points)
2. Net pay  (3 points)
3. Journalize the payroll for the employee (6 points)
4. Journalize the payroll tax expense (5 points)

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic.

a. How many jurors would you expect to be Hispanic? - 4.8

b. The select process produces a jury with 3 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) - .25

c. Use the binomial distribution and find the probability that 3 or fewer jurors would be Hispanic. 0.2253

d. Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below.

e. Use Statistics to make an argument to the court on behalf of your client. Structure your essay as a paragraph that contains the following:

Your Honor,

Explain why random sampling in this situation of juror selection relates the expected sample proportion to the population proportion.
Compare the expected value to the actual sample proportion.
Show that the requirements for a binomial experiment are met in this situation, implying that the binomial distribution can be used.
Identify the values for n,p, and x for this situation
Interpret the answers to parts c. and d. and submit them as evidence.
Use this to argue that the juror selection was likely to be random or not likely to be random (depending on your answer to part c).
Request a new jury be selected or accept the selected jury (depending on your answer to part c)

Respectfully,

[Your Name]