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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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