After testing the null hypothesis that the population difference = zero against an alternate hypothesis that the population means are different. Use a = 0.05 significance level.Paired Data, Accept or Reject Null hypothesis: Yes / No - Distributions4- Material AL17017518018514--09-0.80.7-0.6000504-0.3-467-0.2-1.30-0.1190Normal Quantile PlotSummary Statistics176.716.97765482.2065282181.70151171.7184910MeanStd DevStd Er MeanUpper 95% MeanLower 95% MeanNDistributions- Material B165 170 175 180 185190128-09DAT0.80.7-0.60-0.5-0.67-0.4-0.30.2-1.30-0.1195Normal Quantile Plot4 Summary StatisticsMean179.002Std Dev7.99972062.5297338Std Err MeanUpper 95% Mean 184.72466Lower 95% Mean 173.27934N2510

Introduction: It is required to conclude regarding rejecting the null hypothesis, based on the given…

Answered: After testing the null hypothesis that…

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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Question

After testing the null hypothesis that the population difference = zero against an alternate hypothesis that the population means are different. Use a = 0.05 significance level.

Paired Data, Accept or Reject Null hypothesis: Yes / No

- Distributions
4- Material A
L
170
175
180
185
14--09
-0.8
0.7
-0.6
0005
04
-0.3
-467-
0.2
-1.30-0.1
190
Normal Quantile Plot
Summary Statistics
176.71
6.9776548
2.2065282
181.70151
171.71849
10
Mean
Std Dev
Std Er Mean
Upper 95% Mean
Lower 95% Mean
N
Distributions
- Material B
165 170 175 180 185
190
128-09
DAT
0.8
0.7
-0.6
0-0.5
-0.67-
0.4
-0.3
0.2
-1.30-0.1
195
Normal Quantile Plot
4 Summary Statistics
Mean
179.002
Std Dev
7.9997206
2.5297338
Std Err Mean
Upper 95% Mean 184.72466
Lower 95% Mean 173.27934
N
25
10

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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