Math and Physics. A college physics instructor was concerned about the detrimental effects of poor mathematics background on her students. She randomly selected 18 students and divided them according to math background. Their semester averages were the following.

Fewer than 2 years Two or more years of high school algebra of high school algebra 55 51 67 83 71 76 85 66 78 65 93 51 76 45 97 45 55 64 At the 5% significance level, do the data provide sufficient evidence to conclude that, in this teacher’s physics courses, students with fewer than 2 years of high school algebra have a lower mean semester average than those with 2 or more years?