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 .

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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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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