Question

1) The standard *t* test for independent means should NOT
be used if the populations are highly __________ in opposite
directions.

2) For a study using a *t* test for independent means,
with any given total number of participants, power is greatest when
the participants are divided into __________ groups.

3)

In the formula “*=
S*^{2}_{M}_{1} *+
S*^{2}_{M}_{2,}”
“*S*^{2}_{M}_{1}”
represents

Group of answer choices

the variance of the difference scores for Population 1.

the estimated standard deviation of Population 1.

the estimated mean of the distribution of variances of Population 1.

the variance of the distribution of means for Population 1, based on an estimate of the population variance.

Answer #2

It is not feasible to apply t test if data are skewed

1) The standard *t* test for independent means should NOT
be used if the populations are highly **skewed** in
opposite directions.

Power is maximum when the groups are equal size

2) For a study using a *t* test for independent means,
with any given total number of participants, power is greatest when
the participants are divided into **two equal**
groups.

*S*^{2}_{M}_{1} is
_{The sum of mean square of estimate}

In the formula “*=
S*^{2}_{M}_{1}*+
S*^{2}_{M}_{2,}”
“*S*^{2}_{M}_{1}”
represents

the variance of the distribution of means for Population 1, based on an estimate of the population variance.

answered by: anonymous

An independent t-test is used to test for:
Differences between means of groups containing different
entities when the sampling distribution is normal, the groups have
equal variances and data are at least interval.
Differences between means of groups containing different
entities when the data are not normally distributed or have unequal
variances.
Differences between means of groups containing the same entities
when the data are normally distributed, have equal variances and
data are at least interval.
Differences between means of...

For an independent means t test, we calculate pooled variance
for the distribution of scores from each population. Why do we do
this?

Independent random samples were selected from populations 1 and
2. The sample sizes, means, and variances are as follows.
Population
1
2
Sample Size
30
64
Sample Mean
11.4
6.9
Sample Variance
1.37
4.15
(a) Find a 95% confidence interval for estimating the difference
in the population means (μ1 −
μ2). (Round your answers to two decimal
places.)
to

1) A researcher is running an experiment on the effectiveness of
three different energy drinks. She randomly selects 60 individuals
from the population and evenly splits them into three groups, each
of which consumes a different energy drink.
a. The null hypothesis for this test is that at least one of the
three groups will be different. True or False?
The statistical results of the test are as follows: F(2, 47) =
6.24, p < .05.
b. In the above...

Select the statement that is true.
The independent variable is only used in the independent t-test
and the dependent variable is only used in the dependent
t-test.
The independent t-test is never used in a calculation with more
than two groups or sets of data.
Independent means that the independent t-test is not related to
any other type of t-test.
The matched pairs t-test will usually have greater variance than
the independent t-test when using the same variables.

1. Provide an example
of a study that would utilize a t test for independent
means.
2. How is this
different from a situation in which you would carry out a
t test for dependent means?

1. A researcher is comparing scores from two treatment groups
using independent samples t test. Use a Hartley’s
F-max test to examine this assumption (each group has 6
participants, s2 in group 1 is 20, and s2 in
group 2 is 15, set alpha level at .05). Also, how should this
researcher estimate the standard error in the independent samples
t test?

Independent-Samples t-Test
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Hypothesis Test for Two Populations including
t-Test for μ1-μ1
t-Test for μd
F-Test for
A real estate company is interested in testing whether, on
average, families in Gotham have been living in their homes
different amounts of time than families in Metropolis have. Random
samples yield the following results. Assuming equal variances and
normal distributions. What is the value of the pooled variance
estimate?
Gotham
Metropolis
number sampled:
100
150
Average:
35 months
45 months
Standard deviation:
20 months
25...

(1) A Chi-squared test is typically used to test for any of the
following except which of the following?
(A) If a mathematical model accurately predicts our observed
frequencies of data values.
(B) If a mathematical model accurately predicts the total number
of observed data values.
(C) If a mathematical model accurately predicts the pattern of
our observed data values.
(D) Whether two factors present in a population are independent
of one another.
(E) Whether a series of populations experience...

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