Question: If you have ever been to a math conference (not a day conference; a-stay-at-a-hotel-for-a-couple-of-days conference), you would notice that math geeks like to have a good time! Maryann, having attended both the NYSMATYC and AMATYC conferences this past year, wonders which conference has more participants bringing their spouses along. She randomly selects some sessions at each conference, and determines how many people are spouses of participants (and not participants themselves), summarized below:

NYSMATYC: 3, 4, 1, 0, 4, 5, 1, 2, 2, 3

AMATYC: 10, 11, 6, 8, 9, 10, 12, 5, 11, 6

You may assume that both sets of data are normally distributed. At the .05 level of significance, does Maryann have evidence to show that the mean amount of spouses is higher at the AMATYC conference that the NYSMATYC conference?

Note: Of the people mentioned in these questions, I can personally attest that Maryann, Ralph and Candy have brought their non-math spouses to a conference. Ernie and Kate, as husband and wife math spouses, don’t count toward this total.