4. One sample has SS SS = 48. 1 80 and a second sample has a. If n = 17 for both samples, find each of the sample variances, and calculate the pooled variance. Because the 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 = 17 for the first sample and n = 5 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.

Ciccarelli: Psychology_5 (5th Edition)
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ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
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Chapter1: The Science Of Psychology
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**Problem 4: Variance and Pooled Variance Calculation**

You have two samples with the following Sum of Squares (SS):

- First sample: SS = 80
- Second sample: SS = 48

**Part (a)**

- If the number of observations (\( n \)) is 17 for both samples, calculate the variance for each sample and the pooled variance.
- Since the sample sizes are identical, the pooled variance should be exactly halfway between the two sample variances.

**Part (b)**

- Assume the number of observations (\( n \)) is 17 for the first sample and 5 for the second.
- Calculate the sample variances and the pooled variance again.
- In this case, the pooled variance will be closer to the variance of the larger sample.
Transcribed Image Text:**Problem 4: Variance and Pooled Variance Calculation** You have two samples with the following Sum of Squares (SS): - First sample: SS = 80 - Second sample: SS = 48 **Part (a)** - If the number of observations (\( n \)) is 17 for both samples, calculate the variance for each sample and the pooled variance. - Since the sample sizes are identical, the pooled variance should be exactly halfway between the two sample variances. **Part (b)** - Assume the number of observations (\( n \)) is 17 for the first sample and 5 for the second. - Calculate the sample variances and the pooled variance again. - In this case, the pooled variance will be closer to the variance of the larger sample.
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