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Posted: March 30th, 2020
Brown -APMA 0650 -An investigator wants to show that first-born
An investigator wants to show that first-born children score higher on IQ tests than second-borns. He takes a simple random sample of 400 two-child families in a school district, both children being enrolled in elementary school. He gives these children the WISC vocabulary test(described in exercise 7 on pp. 507-508) with the following results.The 400 first-borns average 29 and their SD is 10The 400 second-borns average 28 and their SD is 10.(Scores are corrected for age differences) He makes a two-sample z-test:SE for the first-born average=0.5SE for the second-born average=0.5SE for difference = square root of (0.5^2+0.5^2)=0.7z=1/0.7=1.4, p=8%Comment briefly on the use of statistical tests.
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