An engineering supervisor randomly measured the calorific value of a combustiblesubstance produced in a plant before and after the implementation of a qualityimprovement policy. The following random measurements were obtained:Before82208096708388528166After77627068843782828822Use the 0.05 level of significance to test whether the difference between the meansof these two samples is significant.Instructions: Assume 8 = 0, in addressing the problem obtain the value of the teststatistic and its corresponding p – value up to four decimal places.t%3D 0. 0221; р — value= 0.4914Ot%3D 0.0221; р- value= 0.5086Ot = 0.0221; p – value=0. 2457t %3D 0. 0221; р — value= 0. 9829

We want to find the paired t test H0: mud=0 vs H1: mud≠0

Answered: An engineering supervisor randomly…

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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Assume we know the following for a paired-samples t test: N = 32, Mdifference = 1.75, s = 4
Concerned about the initial monitoring data, the environmental action group decides to continue to monitor the plant, and try to gather more evidence for their case. A random sample of twenty-six hours is selected over a period of a week. The observations (gallons of wastewater discharged per hour) are 1036 1047 996 1052 1136 1131 958 1058 1087 1146 1111 1040 884 997 1130 994 963 1127 1136 1126 The output of a statistical analysis software on this dataset is shown below N Mean Std. Dev. 26 1081 89.6 Reading the output, we find that • The sample size is n = • The sample mean is a • The sample standard deviation is s = • From this we can calculate the standard error to be SE Note that the observed sample mean is is greater than 1000 gallons per hour. This could mean that the plant is discharging more wastewater than they promised, or the plant could be in compliance, and the large numbers were due to sampling variability. To see if this is the case, we will test the hypothesis that u…
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