Topics For Final
New Topics
Section 11.1 Test for Two Sample Means, Independent Samples
Section 11.2 Test for Two Sample Means, Proportions
Section 11.3 Test for Two Sample Means, Paired
Section 11.4 Test for Two Sample Standard Deviations (F test)
Section 14.1 One-way ANOVA
Comprehensive Topics
Probability
Probability Rules: 5.1, 5.2, 5.3
Solve probability questions with given number of observations in different categories
(see Chapter Review Exercise #10 on Heart Attacks)
Counting: 5.4
Solve probability questions using counting method
Discrete Distribution, Binomial: Section 6.2
Poisson: Section 6.3
Continuous Distribution, Normal Distribution 7.1 & 7.2
Central Limit Theorem & Applications to a mean, 7.3
Interval Estimates
Estimate of μ, σ is known: Section 8.1
Estimate of μ, σ is unknown: Section 8.2
Estimate of p: Section 8.3
Also, for all interval estimates be able to calculate the size of a sample to achieve a
certain standard of error
Hypothesis Testing
Testing of μ, σ is known: Section 9.2
Testing of μ, σ is unknown: Section 9.3
Testing of p: Section 9.4
Test for Standard Deviation (χ2 test): Section 9.5
Regression
Hypothesis Testing of Coefficient: Section 13.1
Interpretation of results: Chapter 4
Data :
Tr 1
14.1
8.4
12.0
11.2
12.3
13.3
10.1
12.0
13.5
13.1
Tr 2
13.7
11.0
15.7
12.8
14.2
12.7
13.8
13.5
13.9
15.6
Tr 3
14.9
15.1
15.7
12.6
14.6
16.7
15.0
14.0
14.9
16.0
Tr 4
19.2
15.5
16.4
16.8
17.1
17.7
12.7
15.1
16.4
14.5
For all tests, use an α=.05.
1) Review: Test to see if the mean of Tr 1 is not equal to 12.
2) Create a confidence interval for the difference in mean between Tr 1 and Tr 2, assume
independent samples.
3) Conduct a hypothesis test if the population mean of Tr 1 and Tr 2 are the same, assume
independent samples.
4) Conduct a hypothesis test if the population mean of Tr 3 and Tr 4 are the same, but assume
they are matched pairs of data.
5) Conduct a hypothesis test if the population standard deviation of Tr 1 and Tr 4 are the same.
6) Conduct an ANOVA analysis of TR 1 through Tr 4
Include in hypothesis
The hypotheses
What assumptions must be met
Which distribution and why, and two or one-tail (which?), and degrees of freedom
The critical value(s)
A drawing
What the level of significance means
The test statistics
The conclusion and why
The p-value with a conclusion and why (if possible)
The conclusion stated in English
Proportions:
Animal Health does a survey of 200 dogs in Santa Cruz County. 128 dogs of the sample were
found to have eaten ice cream in the preceding 12 months.
A survey of 350 dogs in Santa Clara County had 170 who had eaten ice cream.
7) Review: conduct hypothesis test as to whether more than half of all dogs in Santa Cruz eat
ice cream.
8) Create a confidence interval for the difference between the proportion of dogs that eat ice
cream in Santa Cruz and those that eat ice cream in Santa Clara.
9) Conduct hypothesis test as to whether more dogs in Santa Cruz eat ice cream than in Santa
Clara.