QUESTION 1 Which of the following is NOT true when using one-way analysis of var
ID: 3223871 • Letter: Q
Question
QUESTION 1
Which of the following is NOT true when using one-way analysis of variance for testing equality of three or more population means?
Small F test statistics indicate that the decision is to reject the null hypothesis of equal means.
The numerator of the F test statistic measures variation between sample means.
Small P-values indicate that the decision is to reject the null hypothesis of equal means.
The conclusion that there is sufficient evidence to reject the claim of equal population means does not indicate a particular mean is different from the others.
QUESTION 2
Which of the following is NOT true of one-way analysis of variance experimental design?
In any design, if the conclusion is that the differences among the means are significant, the differences are explained by the factor used.
Using a rigorously controlled design is one way to reduce the effect of extraneous factors.
A completely randomized experimental design is one way to reduce the effect of extraneous factors.
Good results require that experiments be carefully designed and executed.
QUESTION 3
Which of the following is NOT a property of the F Distribution?
Values in the F distribution cannot be negative.
The exact shape of the F distribution depends on the two different degrees of freedom.
The F distribution is bell shaped.
The F distribution is not symmetric.
QUESTION 4
Which of the following is NOT a requirement for using one-way analysis of variance for testing equality of three or more population means?
The populations have distributions that are approximately normal.
The samples are simple random samples of quantitative data.
The samples are matched or paired in some way.
The different samples are from populations that are categorized in only one way.
QUESTION 5
The method of __________ is used for tests of hypotheses that three or more population means are equal.
a chi-square distribution
a survey
confidence intervals
one-way analysis of variance
QUESTION 6
A __________ is a characteristic used in ANOVA that allows us to distinguish different populations from one another.
control chart
residual
treatment
standard deviation
Small F test statistics indicate that the decision is to reject the null hypothesis of equal means.
The numerator of the F test statistic measures variation between sample means.
Small P-values indicate that the decision is to reject the null hypothesis of equal means.
The conclusion that there is sufficient evidence to reject the claim of equal population means does not indicate a particular mean is different from the others.
Explanation / Answer
#1
"Small F test statistics indicate that the decision is to reject the null hypothesis of equal means" is NOT true because small F test statistic leads bigger p-value.
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#2
"In any design, if the conclusion is that the differences among the means are significant, the differences are explained by the factor used" is NOT true.
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#3
"The F distribution is bell shaped" is not true because F distribution is skewed to right.
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#4
"The samples are matched or paired in someway" is NOT a requirement for using one-way analysis of variance for testing equality of three or more population means.
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#5
The method of one-way analysis of variance is used for tests of hypotheses that three or more population means are equal.
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#6
A treatment is a characteristic used in ANOVA that allows us to distinguish different populations from one another.
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