of two I. Two groups of people who were in relationships were randomly assigned
ID: 3048170 • Letter: O
Question
of two I. Two groups of people who were in relationships were randomly assigned to one of two conditions, One group read ESPN Magazine and the other group read Home Improvement Projects. The dependent variable was an objective measure of their happiness with their relationship after reading the magazines. No specific predictions have been made about which reading material would improve relationship happiness. Analyze the data with an independent t- test The levels of happiness associated with reading ESPN magazine were measured as follows: 19,28,23,20,22,22,18,19,16,13 The levels of happiness associated with reading Home Improvement Projects were measured as follows: 27,15,20,30,28,23,28,27,20,24 t. Two groups of people who were in relationships were randomly a. Should a one-tailed or two-tailed test be conducted? Explain in one sentence. b. State the null hypothesis in equation format. c. State the alternative hypothesis in equation format. d. Is the null hypothesis accepted or rejected? Use alpha 0.05. e. What can be concluded from the t-test? f. What is the effect size of the test? What is the overall conclusion, considering the t-test results, the effect size and the means associated with each book? g.Explanation / Answer
a. This is two tailed test.
b. Null Hypothesis: mu1 = mu2
c. Altenative hypothesis: mu1 not equals mu2
d. Hypothesis testing
p-value = 0.0477
As p-value is less than the significance level of 0.05, reject null hypothesis
e)
t-test conclude that there are significanct evidence to conclude that there is difference in the level of happiness of two groups.
f)
Effect size = (M2 - M1) SDpooled
where SDpooled = ((SD12 + SD22) 2)
Effect size = (24.2 - 20) 4.420192 = 0.950185
g)
there is significant difference in the mean level of happines of two groups
x1(bar) 20.00 x2(bar) 24.20 s1 4.11 s2 4.71 n1 10 n2 10 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 1.6889 (s22/n2) 2.2178 SE 1.9765 DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] } [ (s12 / n1)2 / (n1 - 1) ] 0.317 [ (s22 / n2)2 / (n2 - 1) ] 0.55 (s12/n1 + s22/n2)2 15.26 DF = 18Related Questions
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