2. It has been hypothesized that children's performance on a particular test of spatial ability will improve significantly between the ages of 10 and 12. To test this hypothesis, eight 10-year-old children are given the spatial ability test and then, two years later as 12-year-olds, are given the same test a second time. The following data were obtained: 10-year-old scores Children year-old scores 12345678 20 32 26 36 18 25 30 16 12- 28 34 27 40 28 24 34 21 a) Are the children's spatial ability scores as 12-year- olds significantly higher than they were at 10 years of age (alpha = .005)? (1 b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (^^

2. It has been hypothesized that children's performance on a particular test of spatial ability will improve significantly between the ages of 10 and 12. To test this hypothesis, eight 10-year-old children are given the spatial ability test and then, two years later as 12-year-olds, are given the same test a second time. The following data were obtained: 10-year-old scores Children year-old scores 12345678 20 32 26 36 18 25 30 16 12- 28 34 27 40 28 24 34 21 a) Are the children's spatial ability scores as 12-year- olds significantly higher than they were at 10 years of age (alpha = .005)? (1 b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (^^

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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