Question

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. **Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must inspect the data
for violations of all assumptions. Unless it is stated that the
population parameter is known, assume it isn’t. Please do not
concern yourself with any intervening variable that you may
perceive. Finally, please don’t think about what the data would
look like in reality. Assume that the question represents
reality. **Please simply write the letter for the
test as your answer. [You can, but need not, add an explanation.]
If none of the tests are appropriate, the answer is P) none of the
above. Here are the tests: **A:** one
sample z-test **B:** one-sample
t-test **C:** t-test for the difference
between means for two related
samples **D:** t-test for the difference
between means for two independent samples with homogeneity of
variance **E:** t-test for the difference
between means for two independent samples with heterogeneity of
variance **F:** a one sample z-test
for proportions (or a chi-square goodness of
fit) **G: **chi-square
goodness of fit only (where a one sample z-test of proportions
isn’t appropriate) **H:** a two-sample z-test for the
difference between proportions (or a chi-square test of
independence) **I: **chi-square test of
independence only (where a two-sample z-test for the difference
between proportions isn’t
appropriate.) **J: **simple
regression **K**:
multiple regression **L: **one-way ANOVA
**M:** two-way ANOVA **N:** Mann-Whitney
**O: **Wilcoxon **P:** none of
the above.

A professor at UCI wants to see what students really remember from their elementary school days, the stuff that was taught or the stuff that was popular at the time. She put together two tests, one with elementary school education questions and one about pop culture from that time. She got a sample of 9 students and had them take both tests. What test does she use?

Pop Culture: 65 52 90 72 59 79 80 68 76

Education: 65 74 87 96 84 80 82 89 75

Answer #1

Solution

Here we will use **t-test for the difference between means
for two related samples**

**Explanation**

**Since the same students are used for** elementary
school education question & pop culture so both samples are
**related samples.**

**Normality assumption**

From Normal Q-Q plot we have strong evidence that data follows normality since the maximum points are lies near to straight line.

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

1. For the following experiment/question, pick the most
appropriate statistical test. You have the following statistical
tests as choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where applicable) and the
validity of parametric tests (where applicable), unless something
is directly stated (e.g., “the data are not at all normal”) or
otherwise indicated (viz., by the inspection of the data) which
would indicate a strong and obvious violation of an assumption.
This means...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at all. Assume
homogeneity of variance (where applicable) and the validity of
parametric tests (where applicable), unless something is directly
stated (e.g., “the data are not at all normal”) or otherwise
indicated (viz., by the inspection of the data) which would
indicate a strong and obvious violation of an assumption. This
means you...

2. For the following experiment/question, pick the most
appropriate statistical test. You have the following statistical
tests as choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where applicable) and the
validity of parametric tests (where applicable), unless something
is directly stated (e.g., “the data are not at all normal”) or
otherwise indicated (viz., by the inspection of the data) which
would indicate a strong and obvious violation of an assumption.
This means...

For the following experiments/questions, pick the most
appropriate statistical test. You have the following statistical
tests as choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

1A. the most appropriate t-test if you are comparing means for
two separate groups that have no relationship to each other?
paired samples t-test
independent samples t-test
dependent samples t-test
none of the above
Which of the following tests are necessary to find out the
details of ANOVA?
Chi-Square
correlation
regression
post hoc test

For each hypothesis, the specific statistical test appropriate
for testing the hypothesis should be described and a brief
description of why the chosen test is most appropriate should be
included.
One Sample t-test, Two sample t-test, Two related
(correlated/paired/dependent)sample t-test, One Factor (one way)
analysis of variance (ANOVA), Factorial for two way/facot Analysis
of Variance (Anova), One Variable Chi-Square test, two variable chi
square test, correlation, or linear regression
Example:
1. People who work in a sedentary job are more...

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