Time to Complete Final Exam. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 75 minutes and a standard deviation of 10 minutes. Answer the following questions.   1. What is the probability of completing the exam in one hour or less? 2. What is the probability that a student will complete the exam in more than 60 minutes but less than 90 minutes? 3. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time? 4. Assuming that the 10 minutes is historically correct what is the confidence interval for 90% of the sixty students to complete the exam? 5. Hypothesis Test using level of significance of .10. This current year the sample size was 80. The mean completion time had dropped to 72 minutes. Is there substantial proof that the mean is less than 75 minutes? What is the Z- test Statistic and the p-value? Explain your conclusion. 6. Describe a type I and Type II error. Give an example of how this could impact a business decision.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Time to Complete Final Exam. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 75 minutes and a standard deviation of 10 minutes.

Answer the following questions.

 

1. What is the probability of completing the exam in one hour or less?

2. What is the probability that a student will complete the exam in more than 60 minutes but less than 90 minutes?

3. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time?

4. Assuming that the 10 minutes is historically correct what is the confidence interval for 90% of the sixty students to complete the exam?

5. Hypothesis Test using level of significance of .10. This current year the sample size was 80. The mean completion time had dropped to 72 minutes. Is there substantial proof that the mean is less than 75 minutes? What is the Z- test Statistic and the p-value? Explain your conclusion.

6. Describe a type I and Type II error. Give an example of how this could impact a business decision.

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