a. Calculate the variance of the scores 10r woman. b. Are the scores for the younger woman more con- sistent (less variable)?

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24. In the previous problem we noted that the differ-
ences in cognitive skills tend to be bigger among
older people than among younger people. These
differences are often called diversity. Similarly, the
differences in performance from trial to trial for the
same person are often called consistency. Research
in this area suggests that consistency of perfor-
mance seems to decline as people age. A study by
Wegesin and Stern (2004) found lower consistency
(more variability) in the memory performance
scores for older women than for younger women.
The following data represent memory scores
obtained for two women, one older and one
younger, over a series of memory trials.
a. Calculate the variance of the scores for each
woman.
b. Are the scores for the younger woman more con-
sistent (less variable)?
Younger
Older
8.
6.
7.
8.
8.
8.
5.
Transcribed Image Text:24. In the previous problem we noted that the differ- ences in cognitive skills tend to be bigger among older people than among younger people. These differences are often called diversity. Similarly, the differences in performance from trial to trial for the same person are often called consistency. Research in this area suggests that consistency of perfor- mance seems to decline as people age. A study by Wegesin and Stern (2004) found lower consistency (more variability) in the memory performance scores for older women than for younger women. The following data represent memory scores obtained for two women, one older and one younger, over a series of memory trials. a. Calculate the variance of the scores for each woman. b. Are the scores for the younger woman more con- sistent (less variable)? Younger Older 8. 6. 7. 8. 8. 8. 5.
Expert Solution
Working
Younger (X) Older (Y) (x-xbar)^2 (y-ybar)^2
8 7 0.5625 0.0625
6 5 1.5625 5.0625
6 8 1.5625 0.5625
7 5 0.0625 5.0625
8 7 0.5625 0.0625
7 6 0.0625 1.5625
8 8 0.5625 0.5625
8 5 0.5625 5.0625
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