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: Children year-old scores 10-year-old scores 12- 28 34 27 40 18 28 25 24 34 16 21 22860306 12345678 a) Are the children's spatial ability scores as 12-year- olds significantly higher than they were at 10 years of age (alpha = .005)? (10 points) b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (10 points)

Ciccarelli: Psychology_5 (5th Edition)
5th Edition
ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
Publisher:Saundra K. Ciccarelli, J. Noland White
Chapter1: The Science Of Psychology
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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:
Children
year-old scores
10-year-old scores
12-
28
34
27
40
18
28
25
24
34
16
21
22860306
12345678
a) Are the children's spatial ability scores as 12-year-
olds significantly higher than they were at 10 years
of age (alpha = .005)? (10 points)
b) Is the variance of the children's scores as 10-year-
olds significantly different from 68.5: the typical
population variance (alpha = .05)? (10 points)
Transcribed Image Text: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: Children year-old scores 10-year-old scores 12- 28 34 27 40 18 28 25 24 34 16 21 22860306 12345678 a) Are the children's spatial ability scores as 12-year- olds significantly higher than they were at 10 years of age (alpha = .005)? (10 points) b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (10 points)
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