This document discusses methods for constructing confidence intervals to estimate population parameters from sample data. It covers confidence intervals for a mean (μ) when the population standard deviation (σ) is both known and unknown. It also discusses confidence intervals for the difference between two population means (μ1 - μ2) and two population proportions (p1 - p2). The document provides steps for checking requirements, computing test statistics, and establishing confidence intervals to make statistical inferences about population values.

1. CHAPTER 7: ESTIMATION
REVIEW

2. Estimation


3. Point Estimate


4. Confidence Intervals


5. Page
338
Confidence Interval for μ when σ is
Known


6. How To Construct a Confidence
Interval for μ when σ is Known


7. Confidence Interval for
μ when σ is Unknown Page
350
 Requirements
Let x be a random variable appropriate to your application. Obtain a
simple random sample (of size n) of x values from which you compute
the sample mean and the sample standard deviation s.
If you can assume that x has a normal distribution or is mound-
shaped, then any sample size n will work.
If you cannot assume this, then use a sample size of n ≥ 30.
 Confidence Interval for μ when σ is unknown
where
= sample mean of a simple random sample
= confidence level (0 < c < 1)
= critical value d.f. = n – 1

8. How To Construct a Confidence
Interval
1. Check Requirements
 Simple random sample?
 Assumption of normality?
 Sample size?
 Sample mean?
 Sample standard deviation s?
2. Compute E
3. Construct the interval using

9. 

10. 

11. Confidence Intervals for the
difference between two population
parameters
 There are several types of confidence intervals
for the difference between two population
parameters
 Confidence Intervals for 1 – 2 (1 and 2
known)
 Confidence Intervals for 1 – 2 (1 and 2 Are
Unknown)
 Confidence Intervals for 1 – 2 (1 = 2)
 Confidence Intervals for p1 – p2

12. How to Interpret Confidence
Intervals for Differences


13. Confidence Intervals for 1 – 2
(1 and 2 known)


14. Confidence Intervals for 1 – 2
(1 and 2 known)


15. How to construct the confidence
interval for 1 – 2 (1 and 2
known)


16. Confidence Intervals for 1 – 2
(1 and 2 Are Unknown)


17. Confidence Intervals for 1 – 2
(1 and 2 Are Unknown)


18. How to construct the confidence
interval for 1 – 2 (1 and 2
unknown)


19. Estimating the Difference of
Proportions p1 – p2
 Requirements
Consider two independent binomial
experiments

20. Estimating the Difference of
Proportions p1 – p2


21. How to construct the confidence
interval for p1 – p2


22. Page
342 How to Find the Sample Size n for
Estimating μ when is σ known


23. Page 366
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