Professor Snape is your instructor for Chemistry 101. He has given the same final exam for his class for a long time; he happens to know that exam scores on this test are normally distributed and have a population mean of µ=80. Because of prior laboratory catastrophes (don’t worry, all students were returned to their original species), he tried a new method of instruction this year. He got a random sample of n=16 students and taught them using virtual reality (VR). These students then took his original final exam, and their sample average was M=76. Assume for this first question that Snape’s final exam has a population standard deviation of σ=12. Can he demonstrate that the VR instruction method was significantly different from his traditional teaching method?  (Assume a two-tailed test with α=.05)     No, he cannot conclude that his VR method is significantly different from his traditional method.  This is because the  z-test equals -1.00 and is not significant     Yes, he can conclude that his VR method is significantly different from his traditional method.  This is because the  z-test equals -1.33 and is significant     No, he cannot conclude that his VR method is significantly different from his traditional method.  This is because the  z-test equals -1.33 and is not significant     Yes, he can conclude that his VR method is significantly different from his traditional method.  This is because the  z-test equals -1.00 and is significant

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
Question

5. Professor Snape is your instructor for Chemistry 101. He has given the same final exam for his class for a long time; he happens to know that exam scores on this test are normally distributed and have a population mean of µ=80.

Because of prior laboratory catastrophes (don’t worry, all students were returned to their original species), he tried a new method of instruction this year. He got a random sample of n=16 students and taught them using virtual reality (VR). These students then took his original final exam, and their sample average was M=76.

Assume for this first question that Snape’s final exam has a population standard deviation of σ=12.

Can he demonstrate that the VR instruction method was significantly different from his traditional teaching method?  (Assume a two-tailed test with α=.05)

   

No, he cannot conclude that his VR method is significantly different from his traditional method. 

This is because the  z-test equals -1.00 and is not significant

   

Yes, he can conclude that his VR method is significantly different from his traditional method. 

This is because the  z-test equals -1.33 and is significant

   

No, he cannot conclude that his VR method is significantly different from his traditional method. 

This is because the  z-test equals -1.33 and is not significant

   

Yes, he can conclude that his VR method is significantly different from his traditional method. 

This is because the  z-test equals -1.00 and is significant

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