Assignments and due dates for each chapter are announced in class. Typical problems include:
Use the traditional method rather than the p-value method. Ignore any parts of a question about the p-value method.
8-2 page 383
2 to 40, even numbered problems
8-3 page 394
2 to 24, even numbered problems
8-5 page 411
2 to 28, even numbered problems
8-6 page 421
2 to 20, even numbered problems
8-6 Hypothesis Tests: Claims about a Standard Deviation σ
To test a claim about σ, use a χ2 distribution Table A-4
Examples of claims (hypotheses) about a standard deviation, σ that can be tested.
| Original claim (English) | Original claim (math) |
|---|---|
| Using the standard deviation to measure the variation in the length of critical jet engine parts, the supplier advertises (claims) the variation is less than 0.002 cm. | σ < 0.002 |
| The weights of the football players in the NFL vary more than the weights of men in the general population. In other words, the standard deviation of the weights of the football players in the NFL is larger than than the standard deviation of mens' weights in the general population (σ = 29 lbs.) | σ > 29 |
| A company advertises (claims) that ball bearings produced by its factory have a standard deviation of 2.2 grams. | σ = 2.2 |
| The waiting times at a restaurant vary by a standard deviation of is at most 4.5 minutes. | σ ≤ 4.5 |
Technique to be learned: Perform a hypothesis test for a claim about a standard deviation of a single population