Question

What conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations? Choose the correct answer below.

A.

Each sample must be randomly selected from any population and the two samples must be independent.

B.

Each sample must be randomly selected from any population and each member of the first sample must be paired with a member of the second sample.

C.

Each sample must be randomly selected from a normal population and the two samples must be independent.

D.

Each sample must be randomly selected from a normal population and each member of the first sample must be paired with a member of the second sample.

Answer #1

ANOVA test questions
A) There are five basic assumptions that must be fulfilled in
order to perform a one-way ANOVA test. What are they?
Write one assumption. (from the following)
Each population from which a sample is taken is assumed to be
uniform.
Each sample is assumed to be
uniform.
Each population from which a sample is taken is assumed to be
normal.
Each sample is assumed to be normal.
B) There are five basic assumptions that must be fulfilled...

Which of the following is not an assumption underlying the
independent-measures t formula for hypothesis testing?
The observations within each sample must be independent.
The two populations from which the samples are selected must be
normal.
The two samples must have equal sample sizes.
The two populations from which the samples are selected must
have equal variances.

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

Which of the following are assumptions for the
independent-measures t formula for hypothesis testing?
1) The observations within each sample must be independent
2) The two populations from which the samples are selected must
be normal
3) The two populations from which the samples are selected must
be have equal variances
4) All of the above

What is the difference between a t test for independent
samples and a t test for related (dependent) samples?
Give an example of when you would use each?

What is the appropriate statistical analysis to use: t-test for
two independent samples, t-test for dependent samples, ANOVA, or
chi-square test of independence? Please identify and explain why it
is appropriate. (a) A study was conducted to see whether monetary
incentives to use less water during times of drought had an effect
on water usage. Sixty single-family homeowners were randomly
assigned to one of two groups: 1) monetary incentives and 2) no
monetary incentives. At the end of three months,...

Question:
Please indicate if the following are independent or paired samples
of t-tests:
a) Attitudes of 8th graders toward art before and after visiting a
museum on a field trip
b) Differences in political opinions of father and sons
c) Differences in rates of attendance at Rutgers football games for
students raised in New Jersey and those raised
in Pennsylvania
d) Differences between freshman and sophomores in the class on time
spent studying
e) A comparison between education levels of the...

Test for difference in means if two dependent samples are taken
from a normal
population gave the values:
Sample 1: 23, 26, 27, 29, 31, 33
Sample 2: 25, 25, 25, 26, 30, 35

If a researcher is conducting a two independent samples t test,
what information is needed from the population to calculate the t
statistic?
a. You must know the population mean
b. You must know the population variance or standard
deviation
c. You must know the population mean and the variance or
standard deviation
d. The t statistic does not require any information about the
population

2.) Assume that you have a sample of n1 = 8, with the sample
mean X overbar 1= 42, and a sample standard deviation of S1 = 4,
and you have an independent sample of n2=15 from another population
with a sample mean of X overbear 2 = 34 and a sample standard
deviation of S2 = 5.
What assumptions about the two populations are necessary in
order to perform the pooled-variance t test for the hypothesis H0:
μ1=μ2 against...

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