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Math 130 : Test 4 Study Guide
Time: December 8, Monday 9:40AM to 11:40 AM.
You can bring one page summary for the procedures of statistical method. (DO
NOT PUT SPECIFIC EXAMPLES.)
The formula sheet with the book and TI-83/84 are allowed for the test.
BRING A RULER FOR GRAPHING.
General guideline:
Use all quizzes and worksheets as your review material.
The format of the questions will be similar to those on the quizzes and worksheets.
Read the problem  What are we trying to find ?
1- mean, 1- proportion, 2- means, 2-proportions, [Z or T-Test]
1-standard deviation, 2-standard deviations, [Chi-square or F-Test]
Goodness of fit test, Test of Independence, [Chi-Square teat]
Simple Linear Regression.
ANOVA
confidence interval or hypothesis testing
 state your null and alternative hypotheses(Knowing the meaning in words.)
 use TI-83/84 to find the p-value and use it to decide whether we will reject the null
hypothesis.
 Make sure we understand the meaning of our result in words. Present it in words.
(Whether you get good grade or not depends on how you present your test result.)
Chapter 8:
8.5 : Z-Test for a proportion
8.6: Chi-square Test for variance or standard deviation
1. section 8.5, page 430, #12
2. section 8.6, page 441, #8
Chapter 9 – Comparing two means , two variances(standard deviations), and two
proportions
9-2 : 2-Sample-Z-Test (Two large independent samples)
9-3 : 2-Sample-F-Test(Two Variances)
9-4 : 2-Sample-T-Test (Two small independent samples)
9-5 : Small Dependent Samples( D = B – A)
9-6 : 2-Sample-Prop-Z-Test
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Study the following problems:
1. section 9-2, page 465, #7
2. sections 9-3,4, page 477, #11, page 488, #13
You need to perform a 2-sample F-test to decide if two populations have the same
variance(standard deviation).
Using F-test result, we will perform a 2-sample T-Test.
Also you need to know how to find a 95% confidence interval for the difference
of two population means.
3. section 9-5, page 500, #3
Find the difference of two data set.
(Understanding the meaning of D>0, D<0 or D≠0.)
Perform a one-sample T-test on D.
4. section 9-6, page 508, #7
We need to know how to compare two proportions.
Find a confidence interval for the difference of two proportions.
Chapter 10 – Simple linear regression
10-2 : Scatter Plot, Correlation Coefficient, Testing the significance of the Correlation
Coefficient.
10-3 : Find the equation of the regression line. (y = a + bx)
10-4 : Graph the regression line on the scatter plot. Using the equation to make prediction
for a specific x-value.
Chapter 10, page 532, 541, #13; page 555, #15
You need to know how to do the followings: (see the worksheet)
a. Identify the dependent and independent variables.
b. Make a scatter plot. [Must show everything clearly. Use a ruler.]
c. Find the correlation coefficient. (From TI-83/84) Give a descriptive
statement from r.
d. Test if there is a significant correlation between the dependent and
independent variables. (use the p-value from TI-83/84)
e. Find the linear regression equation and interpret the meaning of the slope
of the regression line in words.
f. Graph the straight line on your scatter plot in(a). [Use a ruler.]
g. Use your regression equation to predict the number of hours she exercises
per week if her age is 30 years old.
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Chapter 11 – Chi-square goodness of fit test and test of independence
11-2 : Goodness of fit test : use Chi-square (Table G)curve (we have to do it by hand.)
11-3 : Test of independence Use TI-83/84 and p-value method.
Study the following problems:
We must set up the null and the alternative hypotheses clearly.
Interpret your test result in words.
1. 11-2, page 573, #11
2. 11-3, page 586, # 14
3. 11.4 : One way ANOVA
Comparing three or more means.
Study the following problem:
11-4, page 600, #15
Knowing when to use one way ANOVA.
What is your null and alternative hypotheses?
Use the p-value method to perform a hypothesis.
Interpret your result in words.