Final answer:
Sigma Pi membership typically lasts for life, with varying levels of post-graduate involvement. The statistical hypothesis testing to determine if there is a difference in mean grades among sororities requires data collection and application of tests like ANOVA at a significance level of 1 percent.
Step-by-step explanation:
The question regarding the length of membership in Sigma Pi seems to be more related to a general inquiry rather than a specific statistical analysis of sorority grades. Membership in organizations like Sigma Pi typically lasts for a lifetime. Once an individual is initiated into a fraternity or sorority, they remain members for life, even after graduating from college. However, active participation can vary depending on the individual's level of involvement and the time they can commit to fraternity activities post-graduation.\Regarding the analysis of whether there is a difference in mean grades among the sororities using a significance level of 1 percent, this is a question of statistical hypothesis testing. It involves comparing the means of different groups to determine if there is a statistically significant difference between them. It is essential to collect data on grades, formulate a hypothesis, and apply statistical tests, such as ANOVA, to find if the difference in means is significant at the 1 percent level.