# HW_6 - Solutions for HW#6 Chapter 6 3 X b 1.348 X since...

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Solutions for HW#6 Chapter 6, 3. a. 1.348, X b. 1.348, X since median of normal distribution is the same as mean c. Upper 10th percentile is 1.28 μ σ + . Estimator will be 1.28 X S + =1.781 (S=0.3385) d. 1.5 ( 1.5) ( ) P X P Z - < = < , thus the estimate of this probability will be 1.5 1.5 1.348 ( ) ( ) 0.3385 X P Z P Z S - - < = < = 0.6736, e. 0.0846 (the answer in the book is wrong) Chapter 7, 3. a. 90% CI will be narrower than 95%, because the probability that a wider interval will cover the true mean will be larger than the one that a narrower interval will do. b. No. Since the mean is an unknown constant, the probability that the mean belongs to an interval will be either 0 or 1. c. No. The CI is an inference about the mean, not individual bottle. d. No, the statement is correct when the number of repetition is infinity. Thus we expect approximately 95, not exactly 95, when the number of repetition is finite. 5.

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## This note was uploaded on 01/06/2011 for the course STAT 511 taught by Professor Bud during the Fall '08 term at Purdue.

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HW_6 - Solutions for HW#6 Chapter 6 3 X b 1.348 X since...

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