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)? (^^

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Author:Amos Gilat
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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:
10-year-old scores
Children
year-old scores
1234567 ∞
DESSENCE
8
20
32
26
36
18
25
30
16
12-
XHAXHIN
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)? (3 9
b) Is the variance of the children's scores as 10-year-
olds significantly different from 68.5: the typical
population variance (alpha = .05)? (^^
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: 10-year-old scores Children year-old scores 1234567 ∞ DESSENCE 8 20 32 26 36 18 25 30 16 12- XHAXHIN 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)? (3 9 b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (^^
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