For the survey of students described in Exercise 1.11, the responses on political ideology had a mean of 3.18 and standard deviation of 1.72 for the 51 nonvegetarian students and a mean of 2.22 and standard deviation of 0.67 for the 9 vegetarian students. When we use software to compare the means with a significance test, we obtain Variances T DF P-value Unequal 2.915 30.9 0.0066 Equal 1.636 58.0 0.1073 Explain why the results of the two tests differ so much, and give your conclusion about whether the population means are equal.