Question

An independent-samples t test and getting ready for a date: In an example we sometimes use in our statistics classes, several semesters’ worth of male and female students were asked how long, in minutes, they spend getting ready for a date. The data reported below reflect the actual means and the approximate standard deviations for the actual data from 142 students.

Men: 28, 35, 52, 14

Women: 30, 82, 53, 61

1. Conduct all six steps of an independent-samples t test. Be sure to label all six steps.
2. Report the statistics as you would in a journal article.
3. Calculate the 95% confidence interval.
4. Calculate the 90% confidence interval.
5. How are the confidence intervals different from each other? Explain why they are different.
6. Calculate the appropriate measure of effect size.
7. Based on Cohen’s conventions, is this a small, medium, or large effect size?
8. Why is it useful to have this information in addition to the results of a hypothesis test?

Answer 1

male and aHo Mean tim taken by both i.e umale studenb dame and temala HIL aि time Mean ie studl ants Aa me are mot Jant statistic S (m,-D A -) MItm2-2 Fosr female 32.25 129= A2 249.583 for male 56.5 461.6667

18-8580 32.2S- 5 6.5 18.8580 I8186 t critical lavel sigmiticance is at Br182 Simce 2.447 trab tCritical leuel We ignitie Ho Camce accapt at and that conclude b) t = 1.8186 b४) is Confidance intexval 11 2.447 3r182 X18 8580 - 24.25 1t1 32.6298 - 2.4.25 ి +818076(-56.8198 66 680 8.3798 s giuen by १०7- enfdence intesval + 1.943 X 18.850 24-25 4 - 24.25 t 25.9092 (-50.1592 6 S92)