Are the alloy means different at the 1% significance level (a = 0.01). Perform t-test using the sample data and do not assume the standard deviations are equal. Yes / No. Justify answer. ## Oneway Analysis of Strength By Alloy Type### Box Plot ExplanationThe box plot represents the strength distribution of two alloy types, Alloy B and Alloy A. Each box plot displays the following statistics:- **Median**: The line inside the box shows the median strength.- **Quartiles**: The top and bottom of each box represent the 75th percentile (upper quartile) and 25th percentile (lower quartile), respectively.- **Whiskers**: The lines extending from the top and bottom of each box indicate variability outside the upper and lower quartiles. These whiskers typically represent 1.5 times the interquartile range from the quartiles.- **Outliers**: Individual points beyond the whiskers indicate potential outliers.### Quantiles TableThis table provides detailed quantile data for each alloy type:| Level | Minimum | 10% | 25% | Median | 75% | 90% | Maximum ||---------|---------|-------|-------|--------|-------|-------|---------|| Alloy B | 8.63 | 9.428 | 10.86 | 12.3 | 13.49 | 15.036| 16.26 || Alloy A | 8.77 | 8.818 | 9.5625| 10.515 | 11.3175| 12.015| 12.18 |### t Test AnalysisThis section presents a t-test comparing Alloy A and Alloy B strengths:- **Assuming unequal variances** - **Difference**: -1.7005 - **Std Err Dif**: 0.5896 - **t Ratio**: -2.88434 - **DF**: 22.92358 - **Upper CL Dif**: -0.0449, Prob > |t| = 0.0084* - **Lower CL Dif**: -3.3561, Prob > t = 0.9958 - **Confidence**: 0.99, Prob < t = 0.0042*The probabilities marked with an asterisk (*) indicate statistical significance, suggesting a meaningful difference in strength between the two alloys. The t-test graph visually represents the null hypothesis distribution and critical regions.

The significance level is 0.01.

Answered: Are the alloy means different at the 1%…

Are the alloy means different at the 1% significance level (a = 0.01). Perform t-test using the sample data and do not assume the standard deviations are equal. Yes / No.

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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