MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
a. Explain what it would mean to make a type I error.
Choose the correct answer below.
A.
A type I error would occur if in fact μ>0.56ppm, but the results of the sampling lead to the conclusion that μ=0.56 ppm.
ppm, but the results of the sampling fail to lead to the conclusion that μ=0.56 ppm.
C.A type I error would occur if in fact μ=0.56
ppm, but the results of the sampling lead to the conclusion that μ>0.56 ppm.
D.
A type I error would occur if in fact μ=0.56ppm, but the results of the sampling fail to lead to the conclusion that
μ>0.56 ppm.
Part 2
b. Explain what it would mean to make a type II error.
Choose the correct answer below.
A.
A type II error would occur if in fact μ>0.56ppm, but the results of the sampling fail to lead to the conclusion that
μ>0.56 ppm.
B. A type II error would occur if in fact μ>0.56
ppm, but the results of the sampling lead to the conclusion that μ>0.56 ppm.
C. A type II error would occur if in fact μ=0.56
ppm, but the results of the sampling lead to the conclusion that μ>0.56 ppm.
D.
A type II error would occur if in fact μ=0.56 ppm,
but the results of the sampling fail to lead to the conclusion that μ>0.56 ppm.
but the results of the sampling fail to lead to the conclusion that μ>0.56 ppm.
Part 3
c. Explain what it would mean to make a correct decision.
Choose the correct answer below.
A.
A correct decision would occur if μ=0.56ppm and the results of the sampling lead to the rejection of that fact; or if μ>0.56
ppm and the results of the sampling do not lead to that conclusion.
ppm and the results of the sampling do not lead to that conclusion.
B.
A correct decision would occur if μ≠0.56ppm and the results of the sampling lead to the rejection of that fact; or if
μ=0.56 ppm and the results of the sampling do not lead to that conclusion.
ppm and the results of the sampling do not lead to the rejection of that fact; or if μ≠0.56
ppm and the results of the sampling lead to that conclusion.
ppm and the results of the sampling lead to that conclusion.
D.
A correct decision would occur if μ=0.56ppm and the results of the sampling do not lead to the rejection of that fact; or if
μ>0.56
ppm and the results of the sampling lead to that conclusion.Part 4
d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms equals the safety limit of 0.56 ppm.
Choose the correct answer below.
A.
type I error
B.
correct decision because a true null hypothesis is not rejected
C.
correct decision because a false null hypothesis is rejected
D.
type II error
Part 5
e. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms exceeds the safety limit of 0.56 ppm.
Choose the correct answer below.
A.
type I error
B.
correct decision because a true null hypothesis is not rejected
C.
type II error
D.
correct decision because a false null hypothesis is rejected
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