A study was conducted to assess the effects that occur when children are exposed to cocaine before birth. Children were tested at age 4 for object assembly​ skill, which was described as​ "a task requiring​ visual-spatial skills related to mathematical​ competence." The 182 children born to cocaine users had a mean of 7.4 and a standard deviation of 2.9. The 181 children not exposed to cocaine had a mean score of 8.3 with a standard deviation of 3.1. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Let population 1 be children born to cocaine users.     The test statistic is     The​ P-value is     Test the claim in part​ (a) by using a confidence interval.   The ________​% confidence interval estimate is ____<μ1−μ2< ____.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A study was conducted to assess the effects that occur when children are exposed to cocaine before birth. Children were tested at age 4 for object assembly​ skill, which was described as​ "a task requiring​ visual-spatial skills related to mathematical​ competence." The 182 children born to cocaine users had a mean of 7.4 and a standard deviation of 2.9. The 181 children not exposed to cocaine had a mean score of 8.3 with a standard deviation of 3.1. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Let population 1 be children born to cocaine users.

 

 

The test statistic is

 
 
The​ P-value is
 
 
Test the claim in part​ (a) by using a confidence interval.
 
The ________​% confidence interval estimate is ____<μ1−μ2< ____.
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