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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 8.2 / Problem 30E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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An Izod impact test was performed on 20 specimens of PVC

Chapter 8, Problem 30E

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QUESTION:

An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is \(\bar{x}=1.25\) and the sample standard deviation is \(s=0.25\). Find a 99% lower confidence bound on Izod impact strength.

Equation Transcription:

$\overline{x}=1.25$

$s=0.25$

Text Transcription:

xbar=1.25

s=0.25

Questions & Answers

QUESTION:

An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is \(\bar{x}=1.25\) and the sample standard deviation is \(s=0.25\). Find a 99% lower confidence bound on Izod impact strength.

Equation Transcription:

$\overline{x}=1.25$

$s=0.25$

Text Transcription:

xbar=1.25

s=0.25

ANSWER:

Step 1 of 2

Given,

Sample size, n = 20

The sample mean,

The standard deviation,

For and s, the mean and standard deviation of a random sample from a normal distribution with unknown variance , a Confidence Interval on is given by,

where is the upper percentage point of the t distribution with n – 1 degrees of freedom

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