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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 8.2 / Problem 26E

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

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Chapter 8, Problem 26E

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QUESTION:

Problem 26E

Determine the t-percentile that is required to construct each of the following one-sided confidence intervals:

(a) Confidence level = 95%, degrees of freedom = 14

(b) Confidence level = 99%, degrees of freedom = 19

(c) Confidence level = 99.9%, degrees of freedom = 24

Questions & Answers

QUESTION:

Problem 26E

Determine the t-percentile that is required to construct each of the following one-sided confidence intervals:

(a) Confidence level = 95%, degrees of freedom = 14

(b) Confidence level = 99%, degrees of freedom = 19

(c) Confidence level = 99.9%, degrees of freedom = 24

ANSWER:

Step 1 of 5

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.

Appendix Table V provides percentage points of the t distribution. Using the Appendix Table V, the values are the column headings, and the degrees of freedom are listed in the left column.

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