Belsky, Weinraub, Owen, and Kelly (2001) reported on the effects of preschool child care on the development of young children. One result suggests that children who spend more time away from their mothers are more likely to show behavioral problems in kindergarten. Using a standardized scale, the average rating of behavioral problems for kindergarten children is m 5 35. A sample of n 5 16 kindergarten children who had spent at least 20 hours per week in child care during the previous year produced a mean score of M 5 42.7 with a standard deviation of s 5 6. a. Are the data sufficient to conclude that children with a history of child care show significantly more behavioral problems than the average kindergarten child? Use a one-tailed test with a 5 .01. b. Compute the 90% confidence interval for the mean rating of behavioral problems for the population of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Belsky, Weinraub, Owen, and Kelly (2001) reported
on the effects of preschool child care on the development of young children. One result suggests that
children who spend more time away from their mothers are more likely to show behavioral problems in
kindergarten. Using a standardized scale, the average rating of behavioral problems for kindergarten
children is m 5 35. A sample of n 5 16 kindergarten
children who had spent at least 20 hours per week in
child care during the previous year produced a mean
score of M 5 42.7 with a standard deviation of s 5 6.
a. Are the data sufficient to conclude that children
with a history of child care show significantly more
behavioral problems than the average kindergarten
child? Use a one-tailed test with a 5 .01.
b. Compute the 90% confidence interval for the mean
rating of behavioral problems for the population of

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