Question

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 groups containing the same entities when the sampling distribution is not normally distributed and the data do not have unequal variances.

Answer #1

Assumptions for the Independent Samples T Test

**Assumption of Independence:**you need two independent, categorical groups that represent your independent variable. In the above example of test scores “males” or “females” would be your independent variable.**Assumption of normality**: the dependent variable should be approximately normally distributed. The dependent variable should also be measured on a continuous scale. In the above example on average test scores, the “test score” would be the dependent variable.**Assumption of Homogeneity of Variance:**The variances of the dependent variable should be equal.

considering the above choices it is:

**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.**

When we compute an independent-samples t-test, we are
looking to see if there are significant differences between the
means of two independent groups, each measured on a different level
of the independent variable.
True or False
When we compute a paired-samples t-test, we are looking
to see if there are significant differences between the means of
two independent groups, each measured on a different level of the
independent variable.
True or False
If the p-value is > than 0.05, the...

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 “=
S2M1 +
S2M2,”
“S2M1”
represents
Group of answer choices
the variance of the difference scores for Population 1.
the estimated standard deviation of Population 1....

No explanation required;
Question 1
A two-independent-sample t-test is computed when mean
differences are compared between TWO OR MORE groups sampled from a
population with an unknown variance.
Select one:
True
False
Q 2
Question 2
A counselor records the number of disagreements (per
session) among couples during group counseling sessions. If the
number of disagreements is distributed normally with a mean of 4.4
disagreements and a standard deviation of 0.4, then what proportion
of couples disagree at least four...

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.

In a paired t-test, when will the distribution of sample means
of the differences be normal or approximately normal?
Select all that apply.
A.
When the sample is representative of the population of
interest
B.
When the sample size is at least 30
C.
When the distribution of differences in the population is
normal
D.
When all of the above are true

What is the difference between a t test of independent means and
a t test of dependent means? Provide examples of when you would use
each type of t test.

11 . Choosing the appropriate test statistic
You are interested in the difference between two population means.
Both populations are normally distributed, and the population
variances σ212 and σ222 are known. You use an independent samples
experiment to provide the data for your study. What is the
appropriate test statistic?
F = √[2/n1 + 2/n2]
F = s1/s2
z = (x̄1 – x̄2) / √[σ2/n1 + σ2/n2]
z = (p̂1 – p̂2) / √[p̂(1 – p̂)(1/n1 + 1/n2)]
Suppose instead...

Discuss the possible problems, if any, when utilizing an
independent t-test with unequal groups.

Confidence Interval for 2-Means (2 Sample T-Interval)
Given two independent random samples with the following
results:
n1=11
n2=17
x1¯=118
x2¯=155
s1=18
s2=13
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that the population
variances are equal and that the two populations are normally
distributed. Round values to 2 decimal places.
Lower and Upper endpoint?

Explain the differences between a research design that utilizes
an independent measures t-test to analyze the data, and a repeated
measures t-test to analyze the data.

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