A school psychologist is interested in whether going to nature school, where children spend their day outside working with nature, versus public school has an effect on children's empathy toward their peers. A national survey of public schools found that, on a scale from 1 to 10, the average empathy among all children in public schools was 5 (u = 5.00). The school psychologist randomly selects 4 children from a nature school, measures their empathy toward their peers, and obtains the following scores: 10, 9, 10, 7 Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the school psychologist should conclude about the difference in empathy between children who attend nature school versus children who attend public school. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a=0.5) determine the critical values 6. Calculate the test statistic 7. State whether you reject or fail to reject the null hypothesis 8. Calculate and report the effect size . 9. Based on the results of your analysis, does attending a nature school increase, decrease, or have no effect on empathy?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A school psychologist is interested in whether going to nature school, where children spend their day outside working with nature, versus public school has an effect on children's empathy toward their peers. A national survey of public schools found that, on a scale from 1 to 10, the average empathy among all children in public schools was 5 (u = 5.00). The school psychologist randomly selects 4 children from a nature school, measures their empathy toward their peers, and obtains the following scores: 10, 9, 10, 7 Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the school psychologist should conclude about the difference in empathy between children who attend nature school versus children who attend public school. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a=0.5) determine the critical values 6. Calculate the test statistic 7. State whether you reject or fail to reject the null hypothesis 8. Calculate and report the effect size . 9. Based on the results of your analysis, does attending a nature school increase, decrease, or have no effect on empathy?

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