Today All Phote 2:20 PM E. Belsky, Weinraub, Owen, and Kelly (2001) reported on the effects of preschool child care on the devel- opment of young children. One result suggests that children who spend more time away from their moth- ers are more likely to show behavioral problems in kindergarten. Using a standardized scale, the aver- age rating of behavioral problems for kindergarten children is p = 35. A sample ofn = 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 = 42.7 with a standard deviation of s = 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 = %3D %3D .01. b. Compute the 90% confidence interval for the mean rating of bchavioral problems for the population of
Today All Phote 2:20 PM E. Belsky, Weinraub, Owen, and Kelly (2001) reported on the effects of preschool child care on the devel- opment of young children. One result suggests that children who spend more time away from their moth- ers are more likely to show behavioral problems in kindergarten. Using a standardized scale, the aver- age rating of behavioral problems for kindergarten children is p = 35. A sample ofn = 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 = 42.7 with a standard deviation of s = 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 = %3D %3D .01. b. Compute the 90% confidence interval for the mean rating of bchavioral problems for the population of
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**Title: The Effects of Preschool Child Care on Development**
**Research Study Overview**
Belsky, Weinraub, Owen, and Kelly (2001) conducted a study on the effects of preschool child care on the development of young children. Important findings from this research suggest that children who spend more time away from their mothers are more likely to exhibit behavioral problems once they reach kindergarten.
**Statistical Analysis**
A standardized scale was used to measure behavioral problems, where the average rating for kindergarten children is denoted as \( \mu = 35 \).
- **Sample Details**:
- Size: \( n = 16 \) kindergarten children
- Criteria: Children who spent at least 20 hours per week in childcare during the previous year
- Observed Mean Score: \( M = 42.7 \)
- Standard Deviation: \( s = 6 \)
**Research Questions**
a. **Significance of Behavioral Problems**:
Assess whether children with a history of extensive childcare exhibit significantly more behavioral problems than the average kindergarten child. This analysis uses a one-tailed test with a significance level \( \alpha = .01 \).
b. **Confidence Interval**:
Calculate the 90% confidence interval for the mean rating of behavioral problems in this population of children.
---
This text is designed to provide a clear and informative summary of the research for educational purposes, focusing on statistical analysis and interpretation."
Transcribed Image Text:Certainly! Here's the transcribed content of the image that can be used on an educational website:
---
**Title: The Effects of Preschool Child Care on Development**
**Research Study Overview**
Belsky, Weinraub, Owen, and Kelly (2001) conducted a study on the effects of preschool child care on the development of young children. Important findings from this research suggest that children who spend more time away from their mothers are more likely to exhibit behavioral problems once they reach kindergarten.
**Statistical Analysis**
A standardized scale was used to measure behavioral problems, where the average rating for kindergarten children is denoted as \( \mu = 35 \).
- **Sample Details**:
- Size: \( n = 16 \) kindergarten children
- Criteria: Children who spent at least 20 hours per week in childcare during the previous year
- Observed Mean Score: \( M = 42.7 \)
- Standard Deviation: \( s = 6 \)
**Research Questions**
a. **Significance of Behavioral Problems**:
Assess whether children with a history of extensive childcare exhibit significantly more behavioral problems than the average kindergarten child. This analysis uses a one-tailed test with a significance level \( \alpha = .01 \).
b. **Confidence Interval**:
Calculate the 90% confidence interval for the mean rating of behavioral problems in this population of children.
---
This text is designed to provide a clear and informative summary of the research for educational purposes, focusing on statistical analysis and interpretation.
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