# Hypothesis Testing: Comparing Treatment and Control Groups### IntroductionThis analysis involves testing the hypothesis that the treatment group will have higher scores on the dependent variable (DV) compared to the control group.### Group Statistics| IV | N | Mean | Std. Deviation | Std. Error Mean ||----------|----|--------|----------------|-----------------|| DV | | | | || treatment| 12 | 10.9517| 1.31960 | .38094 || control | 12 | 9.6392 | 1.87962 | .54260 |The table above provides descriptive statistics for the treatment group and the control group. It includes the number of participants (N), the mean score, the standard deviation, and the standard error of the mean for each group.### Independent Samples Test#### Levene's Test for Equality of Variances| | F | Sig. ||---------|------|------|| DV | 2.457| .131 |- **Levene's Test** assesses the equality of variances between the groups. A significance value (Sig.) greater than 0.05 indicates equal variances.#### t-test for Equality of Means| | t | df | Sig. (2-tailed) ||-----------------------------------|------|--------|-----------------|| Equal variances assumed | 1.980| 22 | .060 || Equal variances not assumed | 1.980| 19.724 | .062 |- **t-test Results** show the calculated t-value, degrees of freedom (df), and the 2-tailed significance value.- When equal variances are assumed, the Sig. (2-tailed) is 0.060, slightly above the typical 0.05 threshold, indicating marginal non-significance.- When not assuming equal variances, the Sig. (2-tailed) is 0.062, also slightly above 0.05.### ConclusionThe results show marginal evidence against the null hypothesis, suggesting a potential difference in scores where the treatment group may have higher scores than the control group. However, since p-values are slightly above the common cut-off of 0.05, the result is not statistically significant at the conventional level. Further research may be needed to confirm

Name: # Hypothesis Testing: Comparing Treatment and Control Groups### Intro
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Description: # Hypothesis Testing: Comparing Treatment and Control Groups### IntroductionThis analysis involves testing the hypothesis that the treatment group will have higher scores on the dependent variable (DV) compared to the control group.### Group Statist

This is a test for difference in means of two samples. It is given by Student's t-distribution by the formula : t=(X1-X2)-(μ1-μ2)s12n1+s22n2~t(n1+n2-2) [the subscript 1 is for treatment group and subscript 2 is for control group]. The hypothesis are given as : Null Hypothesis Ho : μ1-μ2=0Alternative Hypothesis H1 : μ1-μ2>0The test statistics is calculated to be 1.980. The alpha level of significance is 0.05 (one-tailed) The given p-value is for two-tailed, to compute the p-value for one tailed divided the value by two. Equal variances assumed : 0.0602=0.030Equal variances not assumed : 0.0622=0.031 Decision rule states : If p-value is less than the alpha level of significance then reject null hypothesis, accept otherwise. p-value < α - Reject Hop-value > α - Accept Ho For both the cases, p-value is less than 0.05, therefore the null hypothesis is rejected concluding that treatment group have higher score on DV than on control group.

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18. Using the data below, test the hypothesis that the treatment group will have higher scores on the DV than will the control group. Group Statistics IV N Mean Std. Deviation Std. Error Mean DV treatment 12 10.9517 1.31960 38094 control 12 9.6392 1.87962 .54260 Independent Samples Test LEKANE'S Test for Equality of Variances t-test for Equality of Means F Sig. df Sig. (2-tailed) DV Equal variances 2.457 .131 1.980 22 .060 assumed Equal variances not 1.980 19.724 .062 assumed

18. Using the data below, test the hypothesis that the treatment group will have higher scores on the DV than will the control group. Group Statistics IV N Mean Std. Deviation Std. Error Mean DV treatment 12 10.9517 1.31960 38094 control 12 9.6392 1.87962 .54260 Independent Samples Test LEKANE'S Test for Equality of Variances t-test for Equality of Means F Sig. df Sig. (2-tailed) DV Equal variances 2.457 .131 1.980 22 .060 assumed Equal variances not 1.980 19.724 .062 assumed

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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