Conclusion

Using the data received from the surveys as well as minitab, we ran a two-sample t-test. Based on the two-sample t test, we reject the null hypothesis at the 0.05 level of significance because the p-value< α. Thus, there is significant evidence to say that the mean number of extracurricular activities girls at North Olmsted High School participate in differs from the mean number of extracurricular activities boys at North Olmsted High School participate in. The p-value was equal to 0.012 which means that while the null hypothesis would have been rejected at the 0.1 and 0.05 significance levels, we would have failed to reject the null hypothesis if a 0.01 significance level was used. If a larger sample was used, the results may have varied.

The overall data seemed to suggest that the mean number of extracurricular activites girls participate in at NOHS is larger than the number of extracurricular activites boys participate in. However, since a two-tailed test was run, we only have significant evidence to conclude that the mean number of extracurricular activites both genders participate in are different and not that one is larger than the other. In the future, besides taking a larger sample, a one-tail t-test could be run to determine if one gender participates in more extracurricular activites than the other.