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(b) Twenty students randomly assigned to an experimental group receive an instructional program; 28 in a control group do not. After 8 months, both groups are tested on their knowledge. The experimental group has a mean of 42 on the test (with an estimated population standard deviation of 7); the control group has a mean of 38 (with an estimated population standard deviation of 2). The experimenter wanted to know what to conclude at the 0.05 level. During the course of performing the appropriate hypothesis test, the experimenter found the following values, where Sample 1 is the experimental group and Sample 2 is the control group: M, = 42, M2 = 38, s = 49, s5 = 4. %3D = 22.59, and s = 1.94. Pooled Difference

(b) Twenty students randomly assigned to an experimental group receive an instructional program; 28 in a control group do not. After 8 months, both groups are tested on their knowledge. The experimental group has a mean of 42 on the test (with an estimated population standard deviation of 7); the control group has a mean of 38 (with an estimated population standard deviation of 2). The experimenter wanted to know what to conclude at the 0.05 level. During the course of performing the appropriate hypothesis test, the experimenter found the following values, where Sample 1 is the experimental group and Sample 2 is the control group: M, = 42, M2 = 38, s = 49, s5 = 4. %3D = 22.59, and s = 1.94. Pooled Difference

MATLAB: An Introduction with Applications
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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(a)-(c) For each of the accompanying scenarios, figure the estimated effect size (and whether it is approximately small, medium, or large by Cohen's conventions, using midpoints between conventions as thresholds separating small and large from medium). In each case, assume differences are calculated by subtracting values for Sample 2 from values for Sample 1. (d) Explain your answer for scenario (a) to a person who understands the t test for independent means but is unfamiliar with effect size.
Transcribed Image Text:(a)-(c) For each of the accompanying scenarios, figure the estimated effect size (and whether it is approximately small, medium, or large by Cohen's conventions, using midpoints between conventions as thresholds separating small and large from medium). In each case, assume differences are calculated by subtracting values for Sample 2 from values for Sample 1. (d) Explain your answer for scenario (a) to a person who understands the t test for independent means but is unfamiliar with effect size.
(b) Twenty students randomly assigned to an experimental group receive an instructional program; 28 in a control group do not. After 8 months, both groups are tested on their knowledge. The experimental group has a mean of 42 on the test (with an estimated population standard deviation of 7); the control group has a mean of 38 (with an estimated population standard deviation of 2). The experimenter wanted to know what to conclude at the 0.05 level. During the course of performing the appropriate hypothesis test, the experimenter found the following values, where Sample 1 is the experimental group and Sample 2 is the control group: M, = 42, M2 = 38, s = 49, S5 = 4. 1 = 22.59, and S S pooled = 1.94. Difference
Transcribed Image Text:(b) Twenty students randomly assigned to an experimental group receive an instructional program; 28 in a control group do not. After 8 months, both groups are tested on their knowledge. The experimental group has a mean of 42 on the test (with an estimated population standard deviation of 7); the control group has a mean of 38 (with an estimated population standard deviation of 2). The experimenter wanted to know what to conclude at the 0.05 level. During the course of performing the appropriate hypothesis test, the experimenter found the following values, where Sample 1 is the experimental group and Sample 2 is the control group: M, = 42, M2 = 38, s = 49, S5 = 4. 1 = 22.59, and S S pooled = 1.94. Difference
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