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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1.107. Mathematics and gender. On average, do males outperform females in mathematics? To answerthis
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Source: Bielinski, J., and Davison, M. L. ‘‘Gender differ- ences by item difficulty interactions in multiple-choice mathematics items,’’ American Educational Research Journal, Vol. 35, No. 3, Fall 1998, p. 464 (Table 1). Reprinted by Permission of SAGE Publications.
(a) Is there evidence of a difference between the true mean mathematics test scores of male and female eighth-graders?
(b) Use a 90% confidence interval to estimate the true difference in mean test scores between males and females. Does the confidence inter- val support the result of the test you conducted in part a?
(c) What assumptions about the distributions of the populations of test scores are necessary to ensure the validity of the inferences you made in parts a and b?
(d) What is the observed significance level of the test you conducted in part a?
(e) The researchers hypothesized that the distribu- tion of test scores for males is more variable than the distribution for females. Test this claim at α = .05.
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