From past experience, a teacher believes. score on an exam is 75. A sample of 20 follows: 78, 75, 72, 73, 76, 81, 71, 71, 65, 50, 63, 61, 70, 70, 76, 75, 69, 70, 72, 74

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Example Problem: Hypothesis Testing**

**Context:**
From past experience, a teacher believes that the average score on an exam is 75. A sample of 20 student scores is as follows:

78, 75, 72, 73, 76, 81, 71, 71, 65, 50, 63, 61, 70, 70, 76, 75, 69, 70, 72, 74

**Question:**
Do their scores still average 75 with a level of significance of 0.01? (Answer yes or no, and give the *t*-score.)

**Options:**
- ○ No, -2.87
- ○ Yes, 1.83
- ○ Yes, -1.83
- ○ No, 2.83

In this problem, a hypothesis test is conducted to determine if the average score of this sample still aligns with the expected average score of 75, using the given significance level.
Transcribed Image Text:**Example Problem: Hypothesis Testing** **Context:** From past experience, a teacher believes that the average score on an exam is 75. A sample of 20 student scores is as follows: 78, 75, 72, 73, 76, 81, 71, 71, 65, 50, 63, 61, 70, 70, 76, 75, 69, 70, 72, 74 **Question:** Do their scores still average 75 with a level of significance of 0.01? (Answer yes or no, and give the *t*-score.) **Options:** - ○ No, -2.87 - ○ Yes, 1.83 - ○ Yes, -1.83 - ○ No, 2.83 In this problem, a hypothesis test is conducted to determine if the average score of this sample still aligns with the expected average score of 75, using the given significance level.
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