Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for ?, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for ?. Also, for large n, the critical values for
Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for ?, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for ?. Also, for large n, the critical values for
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
When ? is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for ?.
Method 1: Use the Student's t distribution with d.f. = n − 1.
This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method.
Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for ?, and then use the standardnormal distribution .
This method is based on the fact that for large samples, s is a fairly good approximation for ?. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution.
This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method.
Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for ?, and then use the standard
This method is based on the fact that for large samples, s is a fairly good approximation for ?. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution.
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