**Transcription for Educational Website:**### 10.2.14 Analysis of Grinding Force at Different Vibration LevelsAn article in *Quality Engineering* [2012, Vol. 24(1)] described an experiment on a grinding wheel. Below is the grinding force data (in Newtons) from this experiment at two different vibration levels.- **Low Vibration Level:** 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252- **High Vibration Level:** 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302#### Tasksa. **Hypothesis Testing:** - Determine whether there is evidence to support the claim that the mean grinding force increases with the vibration level.b. **Confidence Interval Calculation:** - Calculate a 95% confidence interval for the difference in the mean grinding force at the two vibration levels.c. **Interpretation of Confidence Interval:** - Check if the value zero is contained within the 95% confidence interval and explain its connection to the conclusion from part (a).d. **Assessment of Assumptions:** - Evaluate normal probability plots of grinding force to identify any violations of assumptions needed for the tests and confidence interval calculations. This analysis will help in understanding how vibration levels affect grinding force and the reliability of the experimental results.

LowHigh242302249421235419250399254317244311258350311363237392261367314301252302Determine the mean…

Answered: 10.2.14 An article in Quality…

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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8.6 A large laboratory has four types of devices used to determine the pH of soil samples. Thelaboratory wants to determine whether there are differences in the average readings given bythese devices. The lab uses 24 soil samples having known pH in the study and randomly assignssix of the samples to each device. The soil samples are tested, and the response recorded for eachsample is the difference between the pH reading of the device and the known pH of the soil.These values, along with summary statistics, are given in the following table.SampleDevice 1 2 3 4 5 6A 2.307 2.294 .079 .019 2.136 2.324B 2.176 .125 2.013 .082 .091 .459C .137 2.063 .240 2.050 .318 .154D 2.042 .690 .201 .166 .219 .407Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).Editorial review has deemed that any suppressed content does not materially…
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8.6 A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table. Sample Device 1 2 3 4 5 6 A -.307 -.294 .079 .019 -.136 -.324 B -.176 .125 -.013 .082 .091 .459 C .137 -.063 .240 -.050 .318 .154 D -.042 .690 .201 .166 .219 .407 a. Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? b. Run an analysis of variance to confirm or reject your conclusion in…

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