A random sample of 110 female graduates with a BS degree in mathematics and 5 years of professional experience revealed an annual income of $99,172 with a standard error of the mean of about $37,278. Another random sample of 120 male graduates with a BS degree in mathematics and 5 years of professional experience revealed an annual income of $104,270 with a standard error of the mean of $35,366. Test the hypothesis that there is a difference between annual income based on gender. What are some conclusions? 2. Suppose that at most 43% of the students at OCC have some kind of health insurance. A survey was conducted with 74 students willing to participate and 43 out of the 74 volunteers indicated that they have health insurance. Does this contradict the belief that no more than 43% of the students at OCC have health coverage? What are your conclusions? 3. A labor organization has developed a new process for handling the recording of grievances to ensure that they are properly resolved at the lowest level possible. For the past several years the grievances have been handled correctly in terms of resolution at the lowest level possible 85% of the time. Based on a sample of 100 grievances from the last decade, 94 were correctly recorded, handled and resolved at the lowest level. At the 0.01 level of significance can it be concluded that the proportion of recorded grievances handled and recorded correctly at the lowest level possible has increased?