Please be as clear as possible.
Textbook - Applied Statistics and Probability for Engineers by
Montgomery, 6th Edition
Final answers are highlighted in colour.
Q1.
a)Calculated using Excel.
Mean()=
AVERAGE(A1:A20)= 19.1
Standard Deviation()=
STDEV.P(A1:A20)= 6.402
Coefficient of variation=
= 6.402/19.1= 0.3352= 33.52%
Q2.
b) Mean()=
AVERAGE(C1:C9)= 17
Standard Deviation(S)= 5.809
Coefficient of variation=
= 5.809/17= 0.3417= 34.17%
c) Standard Error on the mean(SE)=
=5.809/sqrt(9)= 5.809/3= 1.9365
d)90% Confidence interval
=
t* for 90% confidence interval= 1.859547
CI=
= (13.399,
20.601)
Q3.
e)
Expert's Hypothesis
H0:
Ha:
Sample mean()=17,
Standard Error(SE)=1.9365
t stat=
=
= -1.549
p value for t= -1.549, degrees of freedom= 8 is 0.159974
As p value(0.159974) > level of significance(0.05), we cant reject the null hypothesis.
There is no sufficient evidence to say that the mean value is different than 20.
Q4.
f)
For the new sample,
Mean()=
21.11
Standard Deviation(S)= 7.59
Coefficient of variation=
= 7.59/21.11= 0.3595= 35.95%
Q5.
a)Length of the confidence interval should not exceed 2.
If t* is assumed to be a constant.
Solving for n gives, n>29
20 more tests should be done
But,
As degrees of freedom also changes with sample size(n), t* also varies. So this needs to be performed on Solver to get the value of n.
Solving the equation in solver gives n>= 25
Please be as clear as possible. Textbook - Applied Statistics and Probability for Engineers by Montgomery,...
please be as clear as possible, take note of units and
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An engineer performed N= 20 tests to assess the load capacity of a new anchoring device. The measured load capacities are as follows (in kN): 11.0 20.0 24.0 13.0 16.0 24.0 18.0 7.0 20.0 22.0 17.0 18.0 28.0 27.0 20.0 15.0 12.0 11.0 31.0 28.0 After having assessed that the load capacity is normally distributed, the engineer wants to determine some statistics of...
An engineer performed N= 20 tests to assess the load capacity of a new anchoring device. The measured load capacities are as follows (in kN): 11.0 20.0 24.0 13.0 16.0 24.0 18.0 7.0 20.0 22.0 17.0 18.0 28.0 27.0 20.0 15.0 12.0 11.0 31.0 28.0 After having assessed that the load capacity is normally distributed, the engineer wants to determine some statistics of the population. Q. 1 a) Determine mean, standard deviation and coefficient of variation of the population Then,...
Please be as clear as possible.
Textbook - Applied Statistics and Probability for Engineers by
Montgomery, 6th Edition
PART 1. For each of the following statements, circle the letter “T” if it is true, and “F” if it is false. TF If events A and B are mutually exclusive, they must be independent. т F P[A B C] P[CB] P[B] = P[CAB] P[AB] P[B]. T F If the 95% confidence interval for a particular situation is (-5,5), then the 90%...
Please be as clear as possible.
Textbook - Applied Statistics and Probability for Engineers by
Montgomery, 6th Edition
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Please be as clear as possible, needs work and theorems
explained/noted. No excel please, urgent thanks
Textbook - Applied Statistics and Probability for Engineers by
Montgomery, 6th Edition
PART 1. For each of the following statements, circle the letter “T” if it is true, and “F” if it is false. TF If events A and B are mutually exclusive, they must be independent. т F P[A B C] P[CB] P[B] = P[CAB] P[AB] P[B]. T F If the 95% confidence...
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