Overview: There are numerous courses at the collegiate level that students are able to takeeither face to face or online. Some students prefer the flexibility and structure of the onlineformat, while other students prefer face to face. A statistics professor at a local communitycollege was interested in determining whether students performed better in a traditional face toface classroom or in an online format. During a semester where she was teaching statistics bothface to face and online, she decided to provide all of her students with the exact same resources(reviews, assignments, etc.) and the exact same final exam. She wanted to compare the finalexam scores to try and determine if students learn better through a specific modality. Shecollected the final exam scores from all of her students in each class; however, for our purposeswe will focus on a random sample of 12 students from her online class and 12 students from herface to face class. Their final exam scores are shown below.

Name: Overview: There are numerous courses at the collegiate level that stu
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Description: Overview: There are numerous courses at the collegiate level that students are able to takeeither face to face or online. Some students prefer the flexibility and structure of the onlineformat, while other students prefer face to face. A statistics

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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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Overview: There are numerous courses at the collegiate level that students are able to take
either face to face or online. Some students prefer the flexibility and structure of the online
format, while other students prefer face to face. A statistics professor at a local community
college was interested in determining whether students performed better in a traditional face to
face classroom or in an online format. During a semester where she was teaching statistics both
face to face and online, she decided to provide all of her students with the exact same resources
(reviews, assignments, etc.) and the exact same final exam. She wanted to compare the final
exam scores to try and determine if students learn better through a specific modality. She
collected the final exam scores from all of her students in each class; however, for our purposes
we will focus on a random sample of 12 students from her online class and 12 students from her
face to face class. Their final exam scores are shown below.

Expert Solution

Step 1

Null Hypothesis:

H0: There is no sufficient evidence that the standard deviation of face to face exam scores is larger than the standard deviation of Online.

Alternative Hypothesis:

H1:There is a sufficient evidence that the standard deviation of face to face exam scores is larger than the standard deviation of Online.

Excel Procedure:

Enter the data for face to face and online in Excel sheet.
Go to Data
Click on Data Analysis.
Select ‘F test Two-sample for Variances’ and click on ‘OK’
Select the column of ‘face to face’ under ‘Variable 1 Range’.
Select the column of ‘online’ under ‘Variable 2 Range’.
Enter 0 under ‘Hypothesized Mean Difference’.
Click on ‘OK’.

Excel Output:

From the output, the p value for one tail test is 0.017.

The two tail p value is 2*0.017=0.034.

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