Statistics 4(Edexcel AS and A level Modular Math)

1. Quality of Tests and Estimators

1.1. Revision of the Principles Behind Hypothesis Testing

1.2. Type I and Type II Errors

1.3. Type I and Type II Errors and the Normal Distribution

1.4. The Size and Power of a Test

1.5. The Power Function

1.6. The Quality of Estimators

1.7. Consistent Estimators

2. One-Sample Procedures

2.1. Student’s t-Distribution

2.2. Confidence Interval for the Mean of a Normal Distribution When the Variance Is Unknown

2.3. Hypothesis Testing for the Mean of a Normal Distribution with Unknown Variance

2.4. The Distribution of the Variance of a Sample Taken from a Normal Distribution

2.5. Confidence Interval for the Variance of a Normal Distribution

2.6. Hypothesis Test for the Variance of a Normal Distribution

Review Exercise 1

3. Two-Sample Procedures

3.1. Using the F-Distribution

3.2. Using the F-Distribution Tables

3.3. Testing Whether Two Independent Random Samples Are from Normal Populations with Equal Variance

3.4. A Pooled Estimate of Variance

3.5. Confidence Interval for the Difference Between Two Means from Independent Normal Distributions with Equal but Unknown Variances

3.6. Carrying Out a Hypothesis Test for the Difference Between the Means of Two Independent Normal Distributions with Unknown Variances (Two-Sample t-Test)

3.7. Carrying Out the Paired t-Test

Review Exercise 2

Examination Style Paper

Appendix

Answers

Index