Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
7. Sampling Distributions & Confidence Intervals: Mean
Introduction to Confidence Intervals
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Find for a 90% confidence interval.
A
α=0.90
B
α=0.10
C
α=0.05
D
α=0.01

1
Understand that the confidence level of a confidence interval is the probability that the interval contains the true parameter value. For a 90% confidence interval, this means we are 90% confident that the interval contains the true parameter.
The confidence level is denoted by (1 - α), where α is the significance level. Therefore, for a 90% confidence interval, we have 1 - α = 0.90.
To find α, rearrange the equation: α = 1 - confidence level. Substitute the confidence level with 0.90.
Calculate α by subtracting the confidence level from 1: α = 1 - 0.90.
Interpret the result: α represents the probability of the interval not containing the true parameter value, which is the complement of the confidence level.
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