Question

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 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.

**experiment one**)n the United States, ten percent
of the population has blond hair. We want to see if the population
of Greenland is also ten percent. What test does she use?

**experiment two**) Does the presence of more
species of plants increase the productivity of a natural area, as
measured by the total mass of plant material. The number of plant
species was controlled. There were 100 plots of land; each had
either 1, 4, or 16 species of plants.

**experiment three**) A marathon runner is curious
to find whether or not temperature affects the time it takes to run
a marathon. A sample of forty marathoners is observed; they all run
the same marathon, one runner starting ten minutes after another
runner so that they all run at different temperatures. Temperature
and time of run are recorded.

Answer #1

Exp. 1

Since it is tested whether the Greenland proportion of blonde hair is 10% one sample test for proportion is appropriate to use.

Ans. F. One sample Z test for proportion or chi square test of goodness of fit.

Exp. 2

Ans L One way ANOVA to test whether the plot productivity differs for number of plants 1,4 and 16 levels.

Exp 3

Ans J. Simple regression equation can be fitted to build the relationship between time of run and temperature.

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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...

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...

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...

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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