Question

2.12 On the basis of the following scores, appropriately taken, test whether there are gender-associated differences in mathematical ability (as is often claimed!). Take α 0.05, and use the appropriate χ 2 goodness-of-fit test. Boys: 80969887 7583 7092 9782 Girls: | 82 | 90 | 84 | 70 | 80 | 97 | 76 | 90 | 88 | 86 Hint. Group the grades into the following intervals: [70, 75), [75, 80), [80, 85), [85, 90), [90, 95), [95, 100), and count the grades of boys and girls falling into each one of these intervals. Then form a 2 x 6 contigency table with rows the two levels of gender (Boy, Girl), and columns the six levels of grades. Finally, with pij standing for the probability that an individual, chosen at random from the target population, falls into the (i,j)th cell, stipulate the hypothesis Ho: Pi- suggested. 1,... , 6, and proceed to test it as

Answer 1

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