Tutorial 8

Tutorial 8 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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U nk nown Hypothesis Te I. Inference about a Example Class 8 1 THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT0302 Business Statistics (Semester 2, 2012/2013) Normal Population Mean: Variance Unknown Interval estimation The 100(1 )% confidence interval for the population mean is n s t x n s t x n n 1 , 2 / 1 , 2 / , where the value t , n can be obtained from the t distribution table. Comparing with the case with known , here we use s instead of and t 2, n 1 instead of z 2 . Density function of the t distribution with n degrees of freedom sts about Normal Population Mean: Variance Test H 0 H 1 Reject H 0 if and only if Left- tailed 0 or 0 0 n s x / 0   t , n 1 Right- tailed 0 or 0 0 n s x / 0 t , n 1 Two- tailed 0 0 n s x / 0 t 2, n 1
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sts about Population Proportion Based on Large Sample Determining the sample size II. Inference about a Population 2 Proportion Based on Large Samples Interval Estimation Assume that we have a large sample. By the central limit theorem, the 100(1 )% confidence interval for the population proportion is approximately n p p z p n p p z p ) ˆ 1 ( ˆ ˆ , ) ˆ 1 ( ˆ ˆ 2 / 2 / .
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Tutorial 8 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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