Belsky, Weinraub, Owen, and Kelly (2001) reported on the effects of preschool childcare 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 = 35. A sample of n = 16 kindergarten children who had spent at .east 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 childcare show significantly more behavioral problems than the average kindergarten child? Use a one-tailed test with = .01.
b. Compute the 90% confidence interval for the mean rating of behavioral problems for the population or kindergarten children who have a history of daycare.
с. Write a sentence showing how the outcome of the hypothesis test and the confidence interval would appear in a research report.
A sample of 16kindergarten children who spent at least 20 hours per week in child care are selectedfrom a population with mean 35. The sample mean, and standard deviation (s) is found to be 42.7 and 6 respectively. One-tailed hypothesis test using is to be performed.
The null and alternative hypotheses:
The null hypothesis:
That is, children with a history of children show significantly less behavioural problems that the average kindergarten child.
The alternative hypothesis:
That is, children with a history of children show significantly more behavioural problems that the average kindergarten child.
Degrees of freedom:
For a sample size n the degrees of freedom is,
Thus, for a sample of the degrees of freedom is 15.
For a one-tailed test with and , the critical value (CV) is obtained from the t-table as
Calculate using the formula:
To find: Make a 90% confidence interval estimate for the mean rating of behavioural problems for the population of kindergarten children who have a history of day care.
To write:A sentence that describe how would the outcome of hypothesis test and confidence interval will appear in the research report.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Understanding Basic Statistics
Essentials Of Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Single Variable Calculus
Single Variable Calculus: Early Transcendentals, Volume I
Elements Of Modern Algebra
Calculus: Early Transcendentals
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Mathematical Applications for the Management, Life, and Social Sciences
Calculus: An Applied Approach (MindTap Course List)
Calculus of a Single Variable
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Technical Mathematics
Trigonometry (MindTap Course List)
Calculus (MindTap Course List)
Calculus (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus: Early Transcendental Functions (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Elementary Geometry For College Students, 7e
Introduction To Statistics And Data Analysis
Study Guide for Stewart's Multivariable Calculus, 8th
Elementary Geometry for College Students
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th