Answered: Cadmium, a heavy metal, is toxic to…

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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Related questions

Question

a. Explain what it would mean to make a type I error.

Choose the correct answer below.

A type I error would occur if in fact

μ=0.45

ppm, but the results of the sampling lead to the conclusion that

μ<0.45

ppm.

A type I error would occur if in fact

μ<0.45

ppm, but the results of the sampling fail to lead to the conclusion that

μ=0.45

ppm.

A type I error would occur if in fact

μ=0.45

ppm, but the results of the sampling fail to lead to the conclusion that

μ<0.45

ppm.

A type I error would occur if in fact

μ<0.45

ppm, but the results of the sampling lead to the conclusion that

μ=0.45

ppm.

b. Explain what it would mean to make a type II error.

Choose the correct answer below.

A type II error would occur if in fact

μ=0.45

ppm,

but the results of the sampling lead to the conclusion that

μ<0.45

ppm.

A type II error would occur if in fact

μ<0.45

ppm, but the results of the sampling lead to the conclusion that

μ<0.45

ppm.

A type II error would occur if in fact

μ=0.45

ppm,

but the results of the sampling fail to lead to the conclusion that

μ<0.45

ppm.

A type II error would occur if in fact

μ<0.45

ppm, but the results of the sampling fail to lead to the conclusion that

μ<0.45

ppm.

c. Explain what it would mean to make a correct decision.

Choose the correct answer below.

A correct decision would occur if

μ=0.45

ppm and the results of the sampling lead to the rejection of that fact; or if

μ<0.45

ppm and the results of the sampling do not lead to that conclusion.

A correct decision would occur if

μ=0.45

ppm and the results of the sampling do not lead to the rejection of that fact; or if

μ<0.45

ppm and the results of the sampling lead to that conclusion.

A correct decision would occur if

μ<0.45

ppm and the results of the sampling do not lead to the rejection of that fact; or if

μ≠0.45

ppm and the results of the sampling lead to that conclusion.

A correct decision would occur if

μ≠0.45

ppm and the results of the sampling lead to the rejection of that fact; or if

μ=0.45

ppm and the results of the sampling do not lead to that conclusion.

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

0.45

ppm.

Choose the correct answer below.

type I error

correct decision because a true null hypothesis is not rejected

type II error

correct decision because a false null hypothesis is rejected

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

is below

the safety limit of

0.45

ppm.

Choose the correct answer below.

correct decision because a true null hypothesis is not rejected

type I error

type II error

correct decision because a false null hypothesis is rejected