*10. You are investigating the possible differences between eighth-grade boys and girls regarding their perceptions of the usefulness and relevance of science for the roles they see themselves assuming as adults. Your research hypothesis is that boys hold more positive perceptions in this regard. Using an appropriate instrument, you obtain the following results (higher scores reflect more positive perceptions):

Male Female n1 ¼ 26; X1 ¼ 65:0; s1 ¼ 10:2 n2 ¼ 24; X2 ¼ 57:5; s2 ¼ 9:7 298 Chapter 14 Comparing the Means of Two Populations: Independent Samples

(a) Set up the appropriate statistical hypotheses.

(b) Perform the test (a ¼ :05).

(c) Draw final conclusions.