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Consider the experiment designed to compare four treatment means - u1, u2, u3, and u4- using sample sizes of size n1, n2, n3, and n4 and sample variances s 1 2, s 2 2 , s 2 3 and s 2 4.  a) suppose the sample sizez are the same: n1= n2= n3= n4. show that s2w is the average of the four sample variances: s2w= (s2 1 + s 2 2 + s 2 3 + s 2 4)/4.  b) Does this hold if the sample sizes are not equal ? if not, why not just use the average

Consider the experiment designed to compare four treatment means - u1, u2, u3, and u4- using sample sizes of size n1, n2, n3, and n4 and sample variances s 1 2, s 2 2 , s 2 3 and s 2 4.  a) suppose the sample sizez are the same: n1= n2= n3= n4. show that s2w is the average of the four sample variances: s2w= (s2 1 + s 2 2 + s 2 3 + s 2 4)/4.  b) Does this hold if the sample sizes are not equal ? if not, why not just use the average

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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8.5 - Longnecker 7th ed. 

Consider the experiment designed to compare four treatment means - u1, u2, u3, and u4- using sample sizes of size n1, n2, n3, and n4 and sample variances s 1 2, s 2 2 , s 2 3 and s 2 4. 

a) suppose the sample sizez are the same: n1= n2= n3= n4. show that s2w is the average of the four sample variances: s2w= (s2 1 + s 2 2 + s 2 3 + s 2 4)/4. 

b) Does this hold if the sample sizes are not equal ? if not, why not just use the average ?  

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