Assign 8 4 PLEASE SHOW ALL WORK The examinations in a large

Assign. 8 #4 PLEASE SHOW ALL WORK

The examinations in a large statistics class are scaled after grading so that the mean score is 75. The professor thinks that one teaching assistant is a poor teacher and suspects that his students have a lower mean score than the class as a whole. The TA\'s students this semester can be considered a sample from the population of all students in the course, so the professor compares their mean score with 75. State the hypotheses H0 and Ha.

Solution

From the sentence

\"The professor thinks that one teaching assistant is a poor teacher and suspects that his students have a LOWER mean score.\"

Here, we see it is left-tailed, byt the word \"lower\".

Hence, that is the claim, which goes to the alternative hypothesis.

The null hypothesis bears the equal sign.
Thus,

Ho: u = 75
Ha: u < 75 [ANSWER, OPTION B]

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In some classes, they use the opposite inequality sign of the alternative hypothesis. If this is the case in your class, this is the alternative:

Ho: u > 75
Ha: u < 75 [ANSWER, OPTION C]