Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below: ?1=41,?2=50,?¯1=57.1?¯2=78.8n1=41,x¯1=57.1n2=50,x¯2=78.8 If the 94% confidence interval for the difference ?1−?2μ1−μ2 of the means is (-25.0943, -18.3057), what is the value of the pooled variance estimator? (You may assume equal population variances.) Pooled Variance Estimator =

Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below: ?1=41,?2=50,?¯1=57.1?¯2=78.8n1=41,x¯1=57.1n2=50,x¯2=78.8 If the 94% confidence interval for the difference ?1−?2μ1−μ2 of the means is (-25.0943, -18.3057), what is the value of the pooled variance estimator? (You may assume equal population variances.) Pooled Variance Estimator =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below:

?1=41,?2=50,?¯1=57.1?¯2=78.8n1=41,x¯1=57.1n2=50,x¯2=78.8

If the 94% confidence interval for the difference ?1−?2μ1−μ2 of the means is (-25.0943, -18.3057), what is the value of the pooled variance estimator? (You may assume equal population variances.)

Pooled Variance Estimator =

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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