1. Find the pooled variance and estimated standard error of the mean for the studies below. Then calculate the t ratio for each study. Make sure to write down/type up the t ratio formula and steps in calculation:n1 S1 n2 S250 4 20 130 2 60 560 4 20 32. A social psychologist is studying mass communication randomly assigned 87 volunteers to one of two experimental groups. 63 participants were instructed to get their news from a month only from TV, and 24 were instructed to get their news for a month only from the internet. After one month, all participants were tested on their knowledge of several political issues. Given the mean ratings of political news were 26 for the TV group (S2TV=3) and 24.5 for the internet group (S2internet=7), Did the researcher find a significant difference between two experimental groups? Test at .05 significance level. Write down/type up all calculation steps, relevant formulas, and critical values.3. A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which high scores indicated high degrees of approval of one’s own social role. The results were as follows.Ethnic Group A: n = 15 = 55 S2 = 6.5Ethnic Group B: n= 23 = 51 S2 = 4.5a) What is the pooled estimate of the population variance?b) What is the standard error of the mean?c) Are two ethnic groups are significantly different from each other on social role approval (α=0.05).Note: write down/type up all calculation steps, relevant formulas, and critical values
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