A researcher was interested in whether the female students who enrolled in her stats course were...
A researcher was interested in whether the female students who enrolled in her stats course were more interested in the topic than the males. The researcher obtained a random sample of 8 male and 8 female students and gathered their scores on an Interest in Statistical Topics (IST) Survey.
Girls’ IST scores: 21, 37, 22, 20, 22, 20, 22, 21
Boys’ IST scores: 20, 20, 20, 21, 21, 20, 23, 21
Test the researcher’s hypothesis using α =.05
Please answer showing the following steps:
1. Hypotheses (I already figured these out to be:
2. Test equal variance. What df would be used for the t-statstic? Whats the a level? One or two tailed? What would be the critical t-statistic?
3. What is the sample t-statistic?
a.) what is the pooled variance (sp^2)
b.) What is the standard error of the difference?
c.) What is the sample t-statstic?
d.) What is Cohen's d for this data?
4. What would the data lead you to conclude?
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