You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge. A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is taken and each judgment was rated for leniency. Those who smiled (population 1) had a mean leniency rating of 4.9 with a standard deviation of 1.7, while those who did not smile (population 2) had an average leniency rating of 4.1 and standard deviation 1.5. For this example, assume that the variances of the two populations are unequal. (Use Welch's) Test the claim using a 1% level of significance. What are the correct hypotheses? H0: Ha: Based on the hypotheses, find the following: Test Statistic = p-value = The correct decision is to . The correct summary would be: that there is a difference in leniency when smiling over being neutral when in trouble. LeFrance, M. and Hecht, M.A., "Why Smiles Generate Leniency", Personality and Social Psychology Bulletin. 1995; 21:207-204. abstract
You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge.
A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is taken and each judgment was rated for leniency.
Those who smiled (population 1) had a mean leniency rating of 4.9 with a standard deviation of 1.7, while those who did not smile (population 2) had an average leniency rating of 4.1 and standard deviation 1.5.
For this example, assume that the variances of the two populations are unequal. (Use Welch's)
Test the claim using a 1% level of significance.
What are the correct hypotheses?
H0:
Ha:
Based on the hypotheses, find the following:
Test Statistic =
p-value =
The correct decision is to .
The correct summary would be: that there is a difference in leniency when smiling over being neutral when in trouble.
LeFrance, M. and Hecht, M.A., "Why Smiles Generate Leniency", Personality and Social Psychology Bulletin. 1995; 21:207-204. abstract
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