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Problem 2 A professor has given the same exam to every Stats class for the last 30 years (during which thousands of students have taken the exam), with a historical mean of 70.8 and a standard deviation of 10.1. Moreover, the historical exam results closely follow a normal distribution. This year he experiments by using a totally new teaching method to the class of 25 students, but he gives them the same exam as in all prior years. Part a How likely is a randomly selected student from last year (before the new teaching method) to have scored more than 80? Part b Refer to Problem 2. The professor considers his new teaching method to be successful if, in his own words, "he sees more scores around the mean". What exam results are required for this to happen (with 95% certainty)?

Problem 2 A professor has given the same exam to every Stats class for the last 30 years (during which thousands of students have taken the exam), with a historical mean of 70.8 and a standard deviation of 10.1. Moreover, the historical exam results closely follow a normal distribution. This year he experiments by using a totally new teaching method to the class of 25 students, but he gives them the same exam as in all prior years. Part a How likely is a randomly selected student from last year (before the new teaching method) to have scored more than 80? Part b Refer to Problem 2. The professor considers his new teaching method to be successful if, in his own words, "he sees more scores around the mean". What exam results are required for this to happen (with 95% certainty)?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 2 A professor has given the same exam to every Stats class for the last 30 years (during which thousands of students have taken the exam), with a historical mean of 70.8 and a standard deviation of 10.1. Moreover, the historical exam results closely follow a normal distribution. This year he experiments by using a totally new teaching method to the class of 25 students, but he gives them the same exam as in all prior years. Part a How likely is a randomly selected student from last year (before the new teaching method) to have scored more than 80?
Transcribed Image Text:Problem 2 A professor has given the same exam to every Stats class for the last 30 years (during which thousands of students have taken the exam), with a historical mean of 70.8 and a standard deviation of 10.1. Moreover, the historical exam results closely follow a normal distribution. This year he experiments by using a totally new teaching method to the class of 25 students, but he gives them the same exam as in all prior years. Part a How likely is a randomly selected student from last year (before the new teaching method) to have scored more than 80?
Part b Refer to Problem 2. The professor considers his new teaching method to be successful if, in his own words, "he sees more scores around the mean". What exam results are required for this to happen (with 95% certainty)?
Transcribed Image Text:Part b Refer to Problem 2. The professor considers his new teaching method to be successful if, in his own words, "he sees more scores around the mean". What exam results are required for this to happen (with 95% certainty)?
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