For the survey of students described in Exercise 1.11, the responses on political ideology had a mean

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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

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Variances T DF P-value Unequal 2.915 30.9 0.0066 Equal 1.636 58.0 0.1073

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Explain why the results of the two tests differ so much.

What would you conclude about whether the population means are equal?

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