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# Probability

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1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

2. If 10 business shcools were selected at random what is the probability that at least five of the business school deans agree or strongly agree that improvement in technology and computer usage is crucial to their school recieving accreditaion?

3. Suppose that 20 business schools were selected at random. What is the probability that at least 15 of these schools have deans that agree or strongly agree that improvement in communication skills is crucial to their school receiving accreditation.

4. From question 3 how many business schools would you expect to have deans that agree or stongly agree that improvement in communication skills is crucial to receiving accredidation at their school? What is the standard deviation?

5. For 20 business schools selected from Michigan, suppose it is known that 15 agree or strongly agree that improvement in the global issues competency is crucial to their business school receiving accredidation. If eight of these 20 business schools were selected at random, what is the probability that all eight schools agree or strongly agree that improvement in the global issues competency is crucial to their accreditation.

##### Solution Summary

1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

2. If 10 business shcools were selected at random what is the probability that at least five of the business school deans agree or strongly agree that improvement in technology and computer usage is crucial to their school recieving accreditation?

3. Suppose that 20 business schools were selected at random. What is the probability that at least 15 of these schools have deans that agree or strongly agree that improvement in communication skills is crucial to their school receiving accreditation.

4. From question 3 how many business schools would you expect to have deans that agree or stongly agree that improvement in communication skills is crucial to receiving accredidation at their school? What is the standard deviation?

5. For 20 business schools selected from Michigan, suppose it is known that 15 agree or strongly agree that improvement in the global issues competency is crucial to their business school receiving accredidation. If eight of these 20 business schools were selected at random, what is the probability that all eight schools agree or strongly agree that improvement in the global issues competency is crucial to their accreditation.

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Please see the attachment. Hope this helps.

1. For the eight compentecies listed above, what are the means and standard deviations? What two compentencies have the highest means? What two compentencies have the highest standard deviations? Are these what you would expect from vieving the probabilities presented in this table?

Solution. We have computed all means and standard deviations on stat.xls. From that we know that "Global issue" and "Professional integrity/ethic" have the highest means, and they have the highest standard deviations as well. "Communication skills" has the smallest mean and standard deviation, "Critical thinking" has the second smallest mean and standard deviation. So these competencies are we would expect.

2. If 10 business shcools were selected at random what is ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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