
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Educational Website Content: Statistical Analysis Exercise**
**Chapter 7: Hypothesis Testing for Science Achievement Scores**
**Background:**
An educational publication claims that the mean score for grade 12 students on a science achievement test is more than 145. To test this claim, a random sample of 36 grade 12 test scores has been selected. The scores are as follows:
188, 80, 165, 222, 175, 195, 201, 143, 119, 81, 118, 119,
109, 134, 200, 110, 199, 181, 79, 135, 124, 205, 90, 120,
216, 167, 198, 183, 173, 187, 143, 166, 147, 219, 206, 97
The test is conducted at a 1% significance level (α = 0.01).
**Tasks:**
a) **State the Hypotheses:**
- **Null Hypothesis (H₀):** µ ≤ 145
- **Alternative Hypothesis (H₁):** µ > 145
b) **Calculate the p-value:**
Use statistical software (StatCrunch) to compute the p-value associated with the test statistic. Include the software printout with your exercise submission.
c) **Decision at α = 0.01:**
Determine whether to reject or not reject the null hypothesis based on the calculated p-value.
d) **Interpretation:**
Provide an interpretation of the results in the context of the claim made by the publication.
**Note:** This exercise focuses on hypothesis testing and requires critical analysis of statistical outputs to make informed decisions regarding the claim.
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