1 / 6

Section 8-6

Section 8-6. Testing a Claim about a Standard Deviation or Variance. ASSUMPTIONS FOR TESTING A CLAIM ABOUT σ OR σ 2. The sample is a simple random sample. The population has values that are normally distributed. This is a strict requirement. CHI-SQUARE DISTRIBUTION. Test Statistic :.

jalila
Download Presentation

Section 8-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 8-6 Testing a Claim about a Standard Deviation or Variance

  2. ASSUMPTIONS FOR TESTING A CLAIM ABOUT σ OR σ2 • The sample is a simple random sample. • The population has values that are normally distributed. This is a strict requirement.

  3. CHI-SQUARE DISTRIBUTION Test Statistic: n = sample size s2 = sample variance σ2 = population variance

  4. P-VALUES AND CRITICAL VALUES FOR CHI-SQUARE DISTRIBUTION • Use Table A-4. • The degrees of freedom (df) = n− 1

  5. PROPERTIES OF CHI-SQUARE DISTRIBUTION • All values of χ2 are nonnegative, and the distribution is not symmetric. • There is a different distribution for each number of degrees of freedom. • The critical values are found in Table A-4 using n – 1 degrees of freedom.

  6. CRITICAL VALUES Suppose the significance level is α = 0.05.

More Related