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MATH 138
Unit III - OBJECTIVES
Intro Stats, by Richard D. De Veaux and Paul F. Velleman.
The student will be able to:
Chapter 18
50.
51.
52.
State and apply the conditions and uses of the Central Limit Theorem.
Determine the mean and standard deviation (standard error) for a
sampling distribution of proportions or means.
Apply the sampling distribution of a proportion or a mean to application
problems.
Chapter 19
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54.
Construct a confidence interval for a proportion and interpret in the context
of the problem.
Determine the sample size necessary to produce a certain margin of error.
Chapter 20
55.
Perform a one-proportion z-test, to include: writing appropriate
hypotheses, checking the necessary assumptions, drawing an appropriate
diagram, computing the P-value, making a decision, and interpreting the
results in the context of the problem.
Chapter 21
56.
Explain Type I and Type II errors in the context of the problem.
Chapter 22
57.
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Find a confidence interval for the difference between two proportions.
Perform a two-proportion z-test, to include: writing appropriate
hypotheses, checking the necessary assumptions, drawing an appropriate
diagram, computing the P-value, making a decision, and interpreting the
results in the context of the problem.
Chapter 23
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61.
State the assumptions required for t-tests and t-based confidence
intervals.
Perform and interpret a t-test for the population mean.
Compute and interpret a t-based confidence interval for the population
mean.
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Chapter 24
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63.
Perform and interpret a two-sample t-test for two population means.
Compute and interpret a t-based confidence interval for the difference
between two population means.
Chapter 25
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65.
Find a paired confidence interval.
Perform and interpret a paired t-test.
Chapter 26
66.
Perform and interpret chi-square tests for goodness-of-fit, homogeneity,
and independence.
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