homework_8_ans_stud

homework_8_ans_stud - Course MTH 1210 Apr 1609 Homework #8...

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Course MTH 1210 Apr 16’09 Homework #8 ( answers ) ( Confidence intervals for a population mean with t statistic ) Use MS Excel program Sampling distribution of sample means.xls, sheet 3 (block of cells I6 L9 ) and the formula for the confidence interval (see Handout #10) _ _ _ _ _ _ x * ± t (1 – α/2) s/√n or [ x * – t (1 – α/2) s/√n , x * + t (1 – α/2) s/√n ] (10.4) _ where x * and s are a sample mean and a sample standard deviation, respectively, n is a sample size , t (1 – α/2) is the reliability factor (coefficient) to solve the problems below. 1. {problem 6.3.1, pg. 171 Biostatistics} Use the t distribution to find the reliability factor t (1 – α/2) for a confidence interval based on the following confidence coefficients 1 – α and sample size n : a b c d ---------------------------------------------------------------------- 1 – α | 0.95 | 0.99 | 0.90 | 0.95 | ---------------------------------------------------------------- n | 15 | 24 | 8 | 30 | ====================================== α | 0.05 | 0.01 | 0.1 | 0.05 | J9 ---------------------------------------------------------------- n – 1 | 14 | 23 | 7 | 29 | J8 ---------------------------------------------------------------- t (1 – α/2) | 2.144787 | 2.807336 | 1.894579 | 2.04523 | L9 [ t (1 – α/2) ] ALLWAY N-1
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This note was uploaded on 11/24/2011 for the course MATH 3000 taught by Professor Kzaer during the Spring '05 term at St. Johns College MD.

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homework_8_ans_stud - Course MTH 1210 Apr 1609 Homework #8...

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