Where did the 1.463 and +- 1.960 came from ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Where did the 1.463 and +- 1.960 came from ?
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Energy Bar - Grams of Protein
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20.16 22.5 25.34 20.18 21.54 21.50
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19.72 18.28 17.5 17.46 20.53 22.12
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Summary Statistics
Sample: n = 30
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Median: x = 20.17
Mean: x 20.494333
Standard Deviation: s= 1.8498195
Variance s² = 3.4218323,
Significant level: 0.05
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Step 1: Test hypothesis
- Null hypothesis - Ho: u = 20
- Alternate hypothesis - Ho: u # 20
• Step 2: Level of significant
- Level of significant: 0.05
Step 3: Select Test statistic
- Using z value
- z = 1.463
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Step 4: Critical value
- Critical value: +/- 1.960
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Step 5: Decision
- Reject Ho if z < -1.960 or z> 1.960
- Since 1.463 < 1.960 -> Fail to Reject Ho
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Step 6: Interpret the result
- Fail to reject the null hypothesis that the mean grams of protein is not equal to 20.
- We make a practical conclusion that the labels are correct
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