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Unformatted text preview: STOR 155, Section 2 Thursday, April 15, 2010 Section 7.1 For the standard Normal distribution, z * = 1.96 is a critical value , because A 95% confidence interval for is x 1.96 / n , and In a 2sided hypothesis test, if z = 1.96 or 1.96, then the Pvalue is .05. 7.1 Inference for the mean of a population Background: Critical values of distributions _ [ If z = 1.96 and H a is > , the P value is .025. If z = 1.96 and H a is < , the P value is also .025. ] As on the previous slide, z* = 1.96 is a critical value : Its upper tail probability is .025 , so a 95% confidence interval for is x 1.96 / n, the Pvalue for a 2sided test is .05 if z = 1.96. Another critical value: z* = 1.65 . Upper tail probability is .05 , so a 90% confidence interval for is x 1.65 / n the Pvalue for a 2sided test is .10 if z = 1.65 . Another critical value: z* = 2.58 . Upper tail probability is .005 , so a 99% confidence interval for is x 2.58 / n the Pvalue for a 2sided test is .01 if z = 1.65 . 7.1 Inference for the mean of a population Background: Critical values of distributions _ _ _ 7.1 Inference for the mean of a population: Some critical values of the standard Normal distribution Upper tail probability, p 0.10 0.05 0.025 0.01 0.005 Confidence level, C 80% 90% 95% 98% 99% Critical value, z * 1.28 1.65 1.96 2.33 2.58 C = 1 2 p p = (1 C ) 7.1 Inference for the mean of a population: How a table of critical values (rather than Table A) is used (Example 2) Upper tail probability, p 0.10 0.05 0.025 0.01 0.005 Confidence level, C 80% 90% 95% 98% 99% Critical value, z * 1.28 1.65 1.96 2.33 2.58 Testing H 0 : = vs. H a : ....
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This note was uploaded on 06/12/2010 for the course STOR 155 taught by Professor Andrewb.nobel during the Spring '08 term at UNC.
 Spring '08
 AndrewB.Nobel

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