10.66 One could reason that high school seniors would seem to have more money issues than high school juniors. Seniors foresee expenses for college as well as their senior trip and prom. So does this mean that they work more than their junior classmates?

Christine, a senior at HFL High School, randomly collected the following data (recorded in hours/week) from students that work:

Seniors nS  17 x S  16.4 sS  10.48 Juniors nJ  20 x J  18.405 sJ  9.69 Assuming that work hours are normally distributed, do these data suggest that there is a significant difference between the average number of hours that HFL seniors and juniors work per week? Use   0.10.