Two statistics professors at two rival schools decide to use iq scores as a measure of how smart the students at their respective schools are. iq scores are known to be normally distributed. the two professors will use this knowledge to their advantage. they will randomly select 10 students from their respective schools and determine the students' iq scores by means of the standard iq test. the two professors will use the pooled version of the two-sample t test to determine whether the students at the two universities are equally smart. let m1 and m2 represent the mean iq scores of the students at the two universities. let s1 and s2 be the corresponding population standard deviations. the hypotheses they will test are h0: m1 – m2 = 0 versus ha: m1 –m2 ¹ 0. based on the two samples of 10 students, the two professors find the following information: = 113,

= 122 s1 = 8, and s2 = 12. (hint: calculate sp2 first.)

27.

what is the value of the test statistic?

a)

0.107

b)

–1.97

c)

-2.18

d)

–3.00