Statistics Exam 3 Information (Summer 2013)
Exam 3 (Chapters 6 and 7)
28 problems + 3 bonus questions (credit will be given for only one of the three bonus questions)
The exam is worth 100 points.
54 points will be from chapter 6
46 points will be from chapter 7
Concepts:
Point Estimate for a Parameter
we use a sample statistic to estimate a population parameter
Margin of Error, E
the margin of error is the maximum error of our estimate for a population parameter
E represents half the length of a confidence interval
Precision of an Estimate
confidence level and precision are inversely relatedas the confidence level increases, the amount of precision decreases and vice versa
Confidence Intervals for a Population Mean, Population Proportion, Population Variance, and Population Standard
Deviation
z-intervals, t-intervals, and chi-square intervals
flowchart on page 322 helps us decide between using a z-interval or a t-interval for a population mean
Standard Normal Curve, Student’s t-Curve, and the Chi-Square Curve
degrees of freedom = sample size - 1 (df = n - 1)
Minimum Sample Size to Estimate a Population Mean and a Population Proportion
Hypothesis Tests for a Population Mean, Population Proportion, Population Variance, and Population Standard Deviation
z-tests, t-tests, and chi-square tests
Significance Level of a Test, α
Standardized Test Statistic
Critical-Value Approach
Critical Value(s) and Rejection Region(s)
P-Value Approach
Decision Rules (knowing when and when not to reject the null hypothesis)
Properly Concluding a Hypothesis Test
table on page 364 helps us tie our decision to the claim
Page 415 has a great summary of all the hypothesis tests we cover in chapter 7
Good practice problems:
p. 346-348: 1-49 odd
p. 417-420: 1, 3, 5, 11-63 odd