SOLUTION: Answer each of the following questions as concisely as possible. Show all necessary working (including graphs, if necessary) and steps to obtain maximum marks.
Scan your answe
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Question 633201: Answer each of the following questions as concisely as possible. Show all necessary working (including graphs, if necessary) and steps to obtain maximum marks.
Scan your answer sheet as a single document and submit electronically.
Question 1: Introduction to Probability Distributions
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and IS middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
What is the expected value of the job satisfaction score for senior executives?
[7 marks]
What is the expected value of the job satisfaction score for middle managers?
[7 marks]
Compute the variance of job satisfaction scores for executives and middle managers.
[7 marks]
Compute the standard deviation of job satisfaction scores for both probability
distributions.
[7 marks]
Compare the overall job satisfaction of senior executives and middle managers.
[7 marks]
Question 2: Binomial Probability Distribution
A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents,
“When ravellers internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004).
In a sample of six international ravellers, what is the probability that two will stick with their tour group?
In a sample of six international ravellers, what is the probability that at least two will stick with their tour group?
[7 marks]
In a sample of 10 international travelers, what is the probability that none will stick with their tour group?
[7 marks]
Question 3: The Normal Distribution
Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.
(a) What percentage of the people taking the test score between 400 and 500?
[7 marks]
(b) Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
[7 marks]
(c) If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?
[7 marks]
Question 4: Sampling Distribution
BusinessWeek surveyed MBA alumni 10 years after graduation (BusinessWeek, September 22, 2003). One finding was that alumni spend an average of $115.50 per week eating out socially. You have been asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is $35.
(a) Show the sampling distribution of x ̅, the sample mean weekly expenditure for the
40 MBA alumni.
[7 marks]
(b) What is the probability the sample mean will be within $10 of the population mean?
[8 marks]
(c) Suppose you find a sample mean of $100. What is the probability of finding a sample mean of $100 or less? Would you consider this sample to be an unusually low spending group of alumni? Why or why not?
[8 marks]
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I can see that you just cut and pasted your entire assignment. This site doesn't work that way.
Ask about one problem only.
Tell us what it is that is giving you difficulty.
Show the work you have done so far.
What you have done is indicative of a person who has no real desire to learn about mathematics, but that just wants to get their homework done for them for free. Not happening.
John

My calculator said it, I believe it, that settles it
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