IHP 525 Quiz Three
Answer the following questions covering materials from
previous chapters in your textbook. Each question is worth 3.5 points.
1.
A sample of 49 sudden infant death syndrome
(SIDS) cases had a mean birth weight of 2998 g.Based on other births in the
county, we will assume ? = 800 g.Calculate the 95% confidence interval for the
mean birth weight of SIDS cases in the county.Interpret your results.
2.
A
vaccine manufacturer analyzes a batch of product to check its titer.
Immunologic analyses are imperfect, and repeated measurements on the same batch
are expected to yield slightly different titers.Assume titer measurements vary
according to a normal distribution with mean µ and ? = 0.070.Three measurements
demonstrate titers of 7.40, 7.36 and 7.45.Calculate a 95% confidence interval
for true concentration of the sample.
3.
True
or false?A confidence interval for µ is 13 + 5.
a.
The
value 5 in this expression is the estimate’s standard error.
b.
The
value 13 in this expression is the estimate’s margin of error.
c.
The
value 5 in this expression is the estimate’s margin of error.
4.
The term critical value is often used to refer
to the value of a test statistic that determines statistical significance at
some fixed ? level for a test.For example, +1.96 are the critical values for a
two-tailed z-test at ? = 0.05.In performing a t-test based on 21 observations,
what are the critical values for a one-tailed test when ? = 0.05?That is, what
values of the tstat will give a one-sided p-value that is less than or equal to
0.05?What are the critical values for a two-tailed test at ? = 0.05?
5.
When do you use a t-procedure instead of a
z-procedure to help infer a mean?
6.
A
simple random sample of n = 26 boys
between the ages of 13 and 14 has a mean height of 63.8 inches with a standard
deviation 3.1 inches.Calculate a 95% confidence interval for the mean height of
the population.
7.
Identify
whether the studies described here are based on (1) single samples, (2) paired
samples, or (3) independent samples.
a.
An
investigator compares vaccination histories in 30 autistic schoolchildren to a
simple random sample of non-autistic children from the same school district.
b.
Cardiovascular
disease risk factors are compared in husbands and wives
c.
A
nutritional exam in applied to a random sample of individuals.Results are
compared to expected means and proportions.
8.
We wish to detect a mean difference of 0.25 for
a variable that has a standard deviation of 0.67.How large a sample is needed
to detect the mean differences with 90% power at ? = 0.05 (two-sided)?
9.
Identify two graphical methods that can be used
to compare quantitative data from two independent groups.
10.
A questionnaire measures an index of risk-taking
behavior in respondents.Scores are standardized so that 100 represents the
population average.The questionnaire is applied to a sample of teenage boys and
girls.The data for boys is {72, 73, 86, 95, 95, 95, 96, 97, 99, 125}.The data
for girls is {89, 92, 93, 98, 105, 106, 110, 126, 127, 130}.Explore the group
differences with side-by-side boxplots
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