Question

Identifying Tests

For the following prompts include:

- the name of the test

- the parameter being tested, H0 and Ha.

**Example:** What test would you use to determine
whether the starting salaries

for statisticians are greater than $80,000?

**Ans:** One-sample t-test for population mean, H0 : µ
= $80, 000 vs. Ha : µ >

$80,000.

**a.** **)** The 2010 Census found that
the average family size in Minnesota was 3.05.

What statistical procedure would you use to test whether the
average family

size in Minnesota is greater than 3.05 in 2019?

**b.** **)** According to the 2017
American Community Survey, 5.7% of all workers in

Minneapolis/St. Paul urbanized area commute to work by public
transportation. What statistical procedure would you use to test
whether the proportion

of workers in Minneapolis/St. Paul urbanized area commute to work
by public

transportation in 2019 has changed from than in 2015?

**c. )** According to the 2017 American Community
Survey, 4.3% of all workers in

Minneapolis/St. Paul urbanized area work in construction. What
statistical

procedure would you use to test whether the proportion of the
workforce in the

Minneapolis/St. Paul urbanized area is less than in 2017?

d. **)** In 2016-2017 NBA season, the average salary
per team was $97.6 million.

What statistical procedure would you use to test whether the
average salary of

teams in the NBA in the 2019-2020 season is the same as in
2016-2017 season?

Answer #1

a)

Assuming we do not know the population standard deviation of family size in Minnesota.

One-sample t-test for population mean, H0 : µ = 3.05 vs. Ha : µ > 3.05

b)

One-sample z-test for population mean, H0 : p = 0.057 vs. Ha : p 0.057

c)

One-sample z-test for population mean, H0 : p = 0.043 vs. Ha : p < 0.043

d)

Assuming we do not know the population standard deviation of salary per team.

One-sample t-test for population mean, H0 : µ = $97.6 million vs. Ha : µ $97.6 million

For each of the following two-samples t-tests (problems
1-6): (a) Determine if a F test for the ratio of two variances is
appropriate to calculate for the context. If it is appropriate,
conduct the analysis and report the result. Include what
statistical conclusion you should draw from the analysis (i.e.,
whether you should conduct a pooled-variance t-test or an
unequal-variances t-test). (b) Identify the most appropriate t-test
to conduct for the situation/data given. Don’t forget to consider
if the context...

In what follows use any of the following tests/procedures:
Regression, confidence intervals, one-sided t-test, or two-sided
t-test. The procedures should be done with 5% P-value or 95%
confidence interval.
# of OpenLab visits Final grade
2 40
8 85
10 80
9 84
15 90
7 72
5 50
4 59
8 85
10 70
7 66
7 70
5 63
4 60
4 59
11 79
3 82
9 90
10 82
9 76
14 85
6 73
5...

In what follows use any of the following tests: Regression,
multiple regression, one-sided t-test, or two-sided t-test. All
conclusions should be based on 5% P-value threshold.
Choose the best fitting answer.
Open Brains data. SETUP: You
are asked to check if there is difference in the averages of Head
Circumference and Weight. Given the data, your job is to perform
the appropriate statistical test or procedure.
9. What test did you perform?
a. Regression
b. Multiple regression
c. One-sided t-test...

4) A high school biology student wishes to test the hypothesis
that hummingbird feeders can affect the mean mass of ruby-throated
hummingbirds in the area surrounding the feeder. She captures and
weighs several of the hummingbirds near a science museum where
several feeders are located. She obtains the following masses in
grams: 4.4, 3.9, 4.5, 4.3, 4.1, 3.8, 3.8, 4.1, 3.9, 3.8, 3.2, 4.3
The student's hypotheses are: H0: µ= 3.65 g Ha: µ> 3.65 g Use
technology to calculate...

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...

In what follows use any of the following tests/procedures:
Regression, multiple regressions, confidence intervals, one-sided
t-test or two-sided t-test. All the procedures should be done with
5% P-value or 95% confidence interval
Upload CARS data. SETUP: It is believed that Lincolns are
heavier than 3500 pounds. Given the data your job is to confirm or
disprove this belief. Lincoln Data: 3681 3681 3768 3768 4369 4369
4474
9. What test/procedure did you perform?
a. One-sided t-test
b. Two-sided t-test
c....

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...

In what follows use any of the following tests: Regression,
multiple regression, one-sided t-test, or two-sided t-test. All
conclusions should be based on 5% P-value threshold.
Choose the best fitting answer.
Open Brains data. SETUP: Since
females are on average smaller than males, some people believe that
female brains should be smaller as well (smaller volume). Given the
data, your job is to perform the appropriate statistical test or
procedure and help them decide.
5. What test did you perform?...

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...

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