Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Suzanne Zeedyk, a developmental psychologist at Dundee University’s School of Psychology, conducted a pilot study in which parents started out a half-hour walk with their infants in a parent-facing or an away-facing stroller and switched midway to the other type. Her results suggest that parents talked less to the babies and the babies had higher heart rates, and were less likely to fall asleep, in away-facing compared with parent-facing strollers.
A stroller manufacturer investigates whether there are differences in expressive vocabularies between babies who travel in parent-facing strollers and babies who travel in away-facing strollers. It randomly assigns 17 newborns to parent-facing strollers and 17 newborns to away-facing strollers. When the babies are 24 months old, their expressive vocabularies are tested using the the Expressive Vocabulary Test (EVT).
The sample means and sums of squares of the scores for each of the groups are presented in the table that follows.
Group
|
Sample Mean
|
Sum of Squares ∑(xijxij – x̄jx̄j)22
|
---|---|---|
Away-facing | 95.1 | 1,971.36 |
Parent-facing | 104.9 | 2,460.16 |
Assume that the required conditions for ANOVA are met.
The manufacturer performs an analysis of variance using α = 0.01 to determine whether there is evidence of a difference between the groups. The SST is . The SSE is . Thus, SS(Total) is .
The MST is . The MSE is . So the F-test statistic is .
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