Two Mean Test

Two-Mean Test: Do male or female students at Ripon College study more hours on average per week? Gender equality is an increasingly interesting and controversial subject in society today. If all male and female students at Ripon College have a statistically significant difference between the average amount of times they spend studying per week, then what conclusions can be drawn from there? Our group is interested is studying whether or not these biological sex shows differences in the amount of time spent studying per week. On February 15, 2006, Chineka Jones and Shannon Watkins reported a study on “The Panther News” that female students are 35 percent more likely to study daily than male students. Additionally, they are 20 percent

This implies that if there is no difference in the study as null hypothesis describes, the hours per week that male students and female students study will be the same. The alternative hypothesis is described as “not equal” sign because we are simply interested in any difference at all, not which gender studies more hours per week. The explanatory variable in this study is categorical which indicates whether a student is a male or female. The response variable is the number of hours spent to study per week. We will denote our null hypothesis as H0: μm - μw = 0 and the alternative hypothesis as Ha: μm - μw ≠ 0. We then run Multiple Means on Applet to create a boxplot for the distribution in the

According to the guidelines, our p-value falls in between the intervals of 0.01< 0.0442 < 0.05. Therefore, we conclude that we have very strong evidence against the null hypothesis. Our calculated t-statistic came out to -2.07 so it means that our sample statistics of -7.03 is 2.07 standard deviations above and below the hypothesized parameter value of 0. Because |t| > 2, we can conclude again that we there is very strong evidence against the null hypothesis.

A 95% confidence interval was calculated using the 2SD method. After adding and subtracting (3.403 x 2) from the observed difference of -7.03 we found a CI of (-13.836, -0.224). Therefore, we are 95% confident that population difference in the mean hours spent per week studying for male and female students at Ripon college is between 13.8 and 0.1909 hours higher for the females. Because, the confidence interval does not contain the hypothesized value of zero, it proves that the test is statistically significant and we should reject the null