Table of contents
- 1. Introduction to Statistics53m
- 2. Describing Data with Tables and Graphs2h 1m
- 3. Describing Data Numerically2h 8m
- 4. Probability2h 26m
- 5. Binomial Distribution & Discrete Random Variables3h 28m
- 6. Normal Distribution & Continuous Random Variables2h 21m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 37m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals22m
- Confidence Intervals for Population Mean1h 26m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion2h 20m
- 9. Hypothesis Testing for One Sample5h 13m
- Steps in Hypothesis Testing1h 13m
- Performing Hypothesis Tests: Means1h 1m
- Hypothesis Testing: Means - Excel42m
- Performing Hypothesis Tests: Proportions39m
- Hypothesis Testing: Proportions - Excel27m
- Performing Hypothesis Tests: Variance12m
- Critical Values and Rejection Regions29m
- Link Between Confidence Intervals and Hypothesis Testing12m
- Type I & Type II Errors15m
- 10. Hypothesis Testing for Two Samples4h 49m
- Two Proportions1h 12m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 2m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression3h 42m
- Linear Regression & Least Squares Method26m
- Residuals12m
- Coefficient of Determination12m
- Regression Line Equation and Coefficient of Determination - Excel8m
- Finding Residuals and Creating Residual Plots - Excel11m
- Inferences for Slope32m
- Enabling Data Analysis Toolpak1m
- Regression Readout of the Data Analysis Toolpak - Excel21m
- Prediction Intervals13m
- Prediction Intervals - Excel19m
- Multiple Regression - Excel29m
- Quadratic Regression23m
- Quadratic Regression - Excel10m
- 13. Chi-Square Tests & Goodness of Fit2h 31m
- 14. ANOVA2h 1m
8. Sampling Distributions & Confidence Intervals: Proportion
Confidence Intervals for Population Variance
8. Sampling Distributions & Confidence Intervals: Proportion
Confidence Intervals for Population Variance: Videos & Practice Problems
1
concept
Constructing Confidence Intervals for Variance or Standard Deviation
Video duration:
6mPlay a video:
Study Smarter with Worksheets.
Follow along with each video using our printable worksheets

2
Problem
What is wrong with expressing the confidence interval as ?
A
5.1 is not the midpoint between 3.8 and 6.4.
B
The values 3.8 and 6.4 are impossible because variance must be less than 3.
C
The point estimate for σ2 is not the midpoint of a confidence interval and 1.3 is not a margin of error since the χ2 distribution is asymmetric.
D
Confidence intervals can only be written for means or proportion, not for variance.
3
Problem
A delivery service tracks the weights of its packages. A sample of 20 packages has a variance of 4.5 lbs2. Construct a 95% conf. int. for the population variance. Assume a normal distribution.
A
(2.60, 9.60)
B
(2.74, 9.60)
C
(2.99, 8.89)
D
(2.84, 8.45)
4
example
Constructing Confidence Intervals for Variance or Standard Deviation Example 1
Video duration:
5mPlay a video:
5
example
Constructing Confidence Intervals for Variance or Standard Deviation Example 2
Video duration:
6mPlay a video:
Do you want more practice?
We have more practice problems on Confidence Intervals for Population Variance