
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
A: write a null and alternate hypothesis being tested here
B: state clearly the conclusion of this hypothesis test
![Hypothesis Tests
The t-test below was conducted on measurements from a high performance ceramics experiment with the
goal of characterizing the effect of grinding parameters on sintered reaction-bonded silicon nitride. The
experimenters were interested, in, among other things, if ceramic strength [in MPa] differed across batches
A and B, using 16 samples from each batch. Use alpha = 0.1.
t.test(Strength Batch, silveNitrade, conf.level = 0.9, alternative = "t")
Welch Two Sample t-test
data: Y by Batch
t = 1.6813, df = 29.585, p-value = 0.1032
alternative hypothesis: true difference in means between group A and group B is not equal to 0
90 percent confidence interval:
-0.643492 130.362242
sample estimates:
mean in/group A mean in/group B
579.3256
514.4662
cohen.d(Strength Batch, silveNitrade, conf.level = 0.9)
Cohen's d
d estimate: 0.5944431 (medium)
90 percent confidence interval:
lower
upper
-0.01873877 1.20762491](https://content.bartleby.com/qna-images/question/a589a0b1-5940-47b0-b798-8fa24b0ff23c/e055900a-33f0-4b73-88c8-f08c3a645b62/62k273c_thumbnail.jpeg)
Transcribed Image Text:Hypothesis Tests
The t-test below was conducted on measurements from a high performance ceramics experiment with the
goal of characterizing the effect of grinding parameters on sintered reaction-bonded silicon nitride. The
experimenters were interested, in, among other things, if ceramic strength [in MPa] differed across batches
A and B, using 16 samples from each batch. Use alpha = 0.1.
t.test(Strength Batch, silveNitrade, conf.level = 0.9, alternative = "t")
Welch Two Sample t-test
data: Y by Batch
t = 1.6813, df = 29.585, p-value = 0.1032
alternative hypothesis: true difference in means between group A and group B is not equal to 0
90 percent confidence interval:
-0.643492 130.362242
sample estimates:
mean in/group A mean in/group B
579.3256
514.4662
cohen.d(Strength Batch, silveNitrade, conf.level = 0.9)
Cohen's d
d estimate: 0.5944431 (medium)
90 percent confidence interval:
lower
upper
-0.01873877 1.20762491
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