### Calculating the Pooled Variance and Estimated Standard Error**Scenario 1:**- **First Sample:** - Sample size (\( n \)) = 4 scores - Variance (\( s^2 \)) = 17- **Second Sample:** - Sample size (\( n \)) = 8 scores - Variance (\( s^2 \)) = 271. Calculate the pooled variance (\( s^2_p \)): \[ s^2_p = \, \underline{\hspace{4cm}} \]2. Calculate the estimated standard error (\( s_{(M1 - M2)} \)): \[ s_{(M1 - M2)} = \, \underline{\hspace{4cm}} \]**Scenario 2:**- **First Sample:** - Sample size (\( n \)) = 4 scores - Variance (\( s^2 \)) = 68- **Second Sample:** - Sample size (\( n \)) = 8 scores - Variance (\( s^2 \)) = 1081. Calculate the pooled variance (\( s^2_p \)): \[ s^2_p = \, \underline{\hspace{4cm}} \]2. Calculate the estimated standard error (\( s_{(M1 - M2)} \)): \[ s_{(M1 - M2)} = \, \underline{\hspace{4cm}} \]**Discussion:**Comparing your answers for the preceding parts, how does increased variance influence the size of the estimated standard error?- Increased variance ________________ the estimated standard error.

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Description: ### Calculating the Pooled Variance and Estimated Standard Error**Scenario 1:**- **First Sample:** - Sample size (\( n \)) = 4 scores - Variance (\( s^2 \)) = 17- **Second Sample:** - Sample size (\( n \)) = 8 scores - Variance (\( s^2 \)) = 271

The pooled variance is 24, which is obtained below: sp2=n1-1s12+n2-1s22n1+n2-2=4-117+8-1274+8-2=24…

Math

Statistics

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference. The first sample has n = 4 scores and a variance of s² = 17, and the second sample hasn = 8 scores and a variance of s2 = 27. S(M1 - M2) = Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s² = 68, and the second sample has n = 8 scores and a variance of s² = 108.

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference. The first sample has n = 4 scores and a variance of s² = 17, and the second sample hasn = 8 scores and a variance of s2 = 27. S(M1 - M2) = Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s² = 68, and the second sample has n = 8 scores and a variance of s² = 108.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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