Download Suppose you were asked to analyze each of the situations

Suppose you were asked to analyze each of the situations described below. (NOTE: DO NOT
ACTUALLY DO THESE PROBLEMS!) For each, indicate which inference procedure you would use
(from the word bank), the test statistic (z, t, or 𝜒 2 ), and if t or 𝜒 2 , the number of degrees of
freedom. You will only use each inference test ONCE and there is one test you will not use.
Type of Test
Z, t, or 𝝌𝟐
Degrees of Freedom
a
Independence Test
𝜒2
(R-1)(C-1) = 1
b
2-Proportions
Z
N/A
c
Regression Inference
T
(n-2) = 73
d
1-Mean
T
(n-1) = 35
e
2-Means
T
Calculator
f
Matched Pairs
T
(n-1) = 15
g
Homogeneity
𝜒2
(R-1)(C-1) = 2
h
1-Proportion
Z
N/A
Regression inference
2-proportions
1-mean
𝜒 2 G.O.F.
𝜒 2 Independence
2-means
𝜒 2 Homogeneity
Inference Tests:
1-proportion
Matched pairs
a.
b.
c.
d.
e.
f.
g.
h.
A poll conducted by the University of Washington surveyed a random sample of 2200 students. They then
classified the respondents by whether they were male or female and political party. We wonder if there is
evidence of an association between being male or female and party affiliation.
In 2000, the United Nations claimed that there was a higher rate of illiteracy in men than in women from
the country of Qatar. A humanization organization went to Qatar to conduct a random sample. The
results revealed that 45 out of 234 men and 42 out of 251 women were classified as illiterate on the same
measurement test. Do these results indicate that the United Nations findings were correct?
Doctors offer small pieces of cheese to 75 mice, recording the number of pieces of cheese consumed by
each. That night, they record the amount of time (down to the minute) each mouse slept. Is there any
evidence that how much sleep a mouse gets each night is related to the amount of cheese eaten?
A sociologist wishes to see if it is true that for a group of professional women, the average age at which
they have their first child is at 28.6 years. A random sample of 36 women is selected, and the mean from
the sample was 29.2 with a standard deviation of 1.6 years.
Resting pulse rates for a random sample of 26 smokers had a mean of 80 beats per minute (bpm) and a
standard deviation of 5 bpm. Among 32 randomly chosen nonsmokers, the mean and standard deviation
were 74 and 6 bpm. Is there evidence of a difference in mean pulse rate between smokers and
nonsmokers?
A sports analyst is curious if “home field advantage” is a real thing. He takes a random sample of 16 MLB
teams and records the average runs scored for home games and average runs scored for away games for
each team.
The academic research office at a large college wants to see whether the distribution of courses chosen
by math majors (Calculus 3, Statistics, and Differential Equations) is different for its residential and
nonresidential students. It assembles last semester’s data and performs a test.
Your local newspaper polls a random sample of 330 voters, finding 144 who say they will vote “yes” on
the upcoming school budget. Create a 95% confidence interval for actual sentiment of all voters.