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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Nov 2021

Given information

Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. She takes random samples from each of the populations.
The mean and standard deviation for 35 statistics day students were  and , respectively. The mean and standard deviation for  statistics night students were  and . The “day” subscript refers to the statistics day students.

Step-by-step explanation

Step 1.

Note that the statistics instructor considers that there isn't enough evidence between the mean of statistics day on Exam 2 and statistics night on Exam , the class scores of the mean of statistics day on Exam 2 and statistics night on Exam aren't comparable.

Hence, two-tailed is the alternate theory.

The following is an alternative hypothesis:

 

The answer is the option .  

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