Lecture 8

# Lecture 8 - Probability and Statistics in the Life...

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Probability and Statistics in the Life Sciences (Spring 2010) AMS 110.02 Lecture 8 (chap6) Donghyung Lee

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Section 6.3 Confidence Interval For Example (example 6.9 page 192) Lone bone mineral density often leads to hip fractures in the elderly. In an experiment to assess the effectiveness of hormone replacement therapy, researchers gave conjugated equine estrogen (CEE) to a sample of 94 women between the ages of 45 and 64. After taking the medication for 36 months, the bone mineral density was measured for each of the 94 women. The average density was .878 g/cm 2 , with a standard deviation of .126 g/cm 2. Find a 95% confidence interval. μ
Section 6.3 Confidence Interval For Example (example 6.9 page 192) : This is a solution from our text book. (The degree of freedom is 93 but we use 80 degrees of freedom since Table 4 doesn’t list 93 degrees of freedom) μ /2 /2 /2 .025 ( , ) .05 1.990 .126 .878 (1.990) .878 .026 (.852,.904) 94 s s x t x t n n and t t α - + = = = = =

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Section 6.3 Confidence Interval For Example (example 6.9 page 192) : This is my solution. Thus, we are 95% confident that the average hip done mineral density of all women age 45 to 64 who take CEE for 36 months is between .852 g/cm 2 and .904 g/cm 2 μ /2 /2 /2 .025 ( , ) .05 1.96 .126 .878 (1.96) .878 .025 (.853,.903) 94 s s x z x z n n and z z α - + = = = = =
Section 6.3 Confidence Interval For Example A massive multistate outbreak of food-borne illness was attributed to Salmonella enteritidis. Epidemiologists determined that the source of the illness was ice cream. They sampled nine production

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Lecture 8 - Probability and Statistics in the Life...

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