6) One sample has SS = 70 and a second sample has SS = 42. a) If n = 8 for both samples, find each of the sample variances, and calculate the pooled variance. Because samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances. b) Now assume that n = 8 for the first sample and n = 4 for the second. Again, calculate the two sample variances and the pooled variance. You should find that the pooled variance is closer to the variance for the larger sample.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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6) One sample has SS = 70 and a second sample has SS = 42.

  1. a) If n = 8 for both samples, find each of the sample variances, and calculate the pooled variance. Because samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.
  2. b) Now assume that n = 8 for the first sample and n = 4 for the second. Again, calculate the two sample variances and the pooled variance. You should find that the pooled variance is closer to the variance for the larger sample.
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