Differentiating pooled variance and the estimated standard error of the difference in sample means For the independent-measures t test, which of the following describes the pooled variance (whose symbol is sp2 )? The difference between the standard deviations of the two samples The variance across all the data values when both samples are pooled together A weighted average of the two sample variances (weighted by the sample sizes) An estimate of the standard distance between the difference in sample means (M1 - M2) and the...
The within-groups estimate of variance is the estimate of the
variance of the population of individuals based on the variation
among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual
groups
Equal to the between-groups estimate of population variance
Means of the groups studied
1. When we state that there is homogeneity of variance,
precisely which variances are homogeneous? Use words, not
symbols.
2. It is important to keep the probability of making Type I
equal to α. With a t-test, how do we keep the probability of Type I
error in check?
In calculating budget variances the total variance was broken
down into various components, when added up they totaled the total
variance. Explain why this is helpful in determing problems and in
identifying the corrective action that should be taken to resolve
the problems
You should use a pooled t-test versus a non-pooled t-test
when
the samples are matched.
the variance of the two populations are equal.
the sample sizes of both groups are the same.
None of these
the samples are matched and the sample sizes of both groups are
the same.
Consider the following statements concerning confidence interval
estimates: A. The use of the pooled variance estimator when
constructing a confidence interval for the difference between means
requires the assumption that the population variances are equal. B.
The width of a confidence interval estimate for the proportion, or
for mean when the population standard deviation is known, is
inversely proportional to the square root of the sample size. C. To
determine the sample size required to achieve a desired precision
in...
a.
Describe the Pooled variance assumption. How does it change the
standard error? What impact does it have on a test statistic? What
impact does it have on a p-value?
How do you justify making the assumption?
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b.
Republican
Democrat
Libertarian
Support
18
24
8
Don't Support
14
12
5
The above contingency table was created by asking a sample of
people in a given area if they support a measure taken by the
government.
If The...
Use the information provided to answer the questions.
Population 1= 11 3 9
4
Population 2= 13 7 7
9 6 5
Calculate the pooled estimate of σ2, the associated degrees of
freedom, and the observed value of the t statistic. (Round s2 and
your t statistic to three decimal places.)
S(squared) =
df =
t =
What is the rejection region using α = 0.05? (If the test is
one-tailed, enter NONE for the unused region. Round your answers...