In a study designed to examine the effectiveness of a social skills program for children, 20 children were randomly assigned to one of two groups: a social skills training group or a control group. After 6 weeks, the social skills of participants in each group were measured and compared. The data revealed the following results Social Skills Training Control n = 10 n= 10 M = 7.5 SS = 116 M = 12 SS = 108 A. State the null and alternate hypotheses B. Determine whether the data are sufficient to conclude that a significant difference exists between the groups using a two-tailed test with a = .05 C. Compute Cohen's d and explain what this number tells you

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In a study designed to examine the effectiveness of a social skills program for children, 20 children were
randomly assigned to one of two groups: a social skills training group or a control group. After 6 weeks, the
social skills of participants in each group were measured and compared. The data revealed the following results
Social Skills Training
Control
n = 10
M = 7.5
SS = 116
n = 10
M = 12
SS = 108
A. State the null and alternate hypotheses
B. Determine whether the data are sufficient to conclude that a significant difference exists between the
groups using a two-tailed test with a = .05
C. Compute Cohen's d and explain what this number tells you
D. Construct a 90% confidence interval to estimate the size of the mean difference. Explain what the
confidence interval tells you.
Transcribed Image Text:In a study designed to examine the effectiveness of a social skills program for children, 20 children were randomly assigned to one of two groups: a social skills training group or a control group. After 6 weeks, the social skills of participants in each group were measured and compared. The data revealed the following results Social Skills Training Control n = 10 M = 7.5 SS = 116 n = 10 M = 12 SS = 108 A. State the null and alternate hypotheses B. Determine whether the data are sufficient to conclude that a significant difference exists between the groups using a two-tailed test with a = .05 C. Compute Cohen's d and explain what this number tells you D. Construct a 90% confidence interval to estimate the size of the mean difference. Explain what the confidence interval tells you.
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