A researcher is testing the effect preschool has on the development of young children mothers more or less likely to show developmental problems in kindergarten? Using a standardized scale, the average rating of - are children who spend more time away from their behavioral problems in kindergarten children is 36.6 with a standard deviation of 8. A random sample of 15 kindergarten children who had spent at least 20 hours per week in child care during the previous year produced the scores shown in the data. Test at o.01 level of significance that children who spend more time away from their mothers are more likely to show developmental problems in kindergarten. 38 39 42 43 48 44 38 36 42 37 36 47 48 38 41

MATLAB: An Introduction with Applications
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State the null and alternative hypotheses and the level of significance for the question 

**Title: Impact of Preschool Attendance on Developmental Outcomes in Kindergarten Children**

**Introduction:**

A research study investigates the developmental effects of preschool attendance on young children, specifically examining if increased time away from mothers influences the likelihood of developmental problems in kindergarten.

**Study Overview:**

- **Research Question:** Are children who spend more time away from their mothers more likely to exhibit developmental problems in kindergarten?
- **Methodology:** 
  - Using a standardized scale, the average behavioral problem rating for kindergarten children is 36.6, with a standard deviation of 8.
  - A sample of 15 kindergarten children who spent at least 20 hours per week in childcare during the previous year was analyzed.

**Data Collection:**

- The behavioral scores obtained from the sample are as follows: 38, 39, 42, 43, 48, 44, 38, 36, 42, 37, 36, 47, 48, 38, 41.

**Analysis:**

- Statistical testing is conducted at a 0.01 level of significance to determine if children spending more time away from their mothers during preschool are more prone to developmental problems in kindergarten.

This study aims to offer insights into the implications of early child care environments on subsequent developmental metrics.
Transcribed Image Text:**Title: Impact of Preschool Attendance on Developmental Outcomes in Kindergarten Children** **Introduction:** A research study investigates the developmental effects of preschool attendance on young children, specifically examining if increased time away from mothers influences the likelihood of developmental problems in kindergarten. **Study Overview:** - **Research Question:** Are children who spend more time away from their mothers more likely to exhibit developmental problems in kindergarten? - **Methodology:** - Using a standardized scale, the average behavioral problem rating for kindergarten children is 36.6, with a standard deviation of 8. - A sample of 15 kindergarten children who spent at least 20 hours per week in childcare during the previous year was analyzed. **Data Collection:** - The behavioral scores obtained from the sample are as follows: 38, 39, 42, 43, 48, 44, 38, 36, 42, 37, 36, 47, 48, 38, 41. **Analysis:** - Statistical testing is conducted at a 0.01 level of significance to determine if children spending more time away from their mothers during preschool are more prone to developmental problems in kindergarten. This study aims to offer insights into the implications of early child care environments on subsequent developmental metrics.
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