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 186 children born to cocaine users had a mean of 7.3 and a standard deviation of 2.9. The 186 children not exposed to cocaine had a mean score of 8.2 with a standard deviation of 2.9. 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. Complete parts (a) and (b) below.
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 186 children born to cocaine users had a mean of 7.3 and a standard deviation of 2.9. The 186 children not exposed to cocaine had a mean score of 8.2 with a standard deviation of 2.9. 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. Complete parts (a) and (b) below.
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
Related questions
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
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 186 children born to cocaine users had a mean of 7.3 and a standard deviation of 2.9. The 186 children not exposed to cocaine had a mean score of 8.2 with a standard deviation of 2.9. 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. Complete parts (a) and (b) below.
a. Use a 0.01 significance level to test the claim that prenatal cocaine exposure is associated with lower scores of four-year-old children on the test of object assembly.
Identify the null and alternative hypotheses.
H0:
μ1=μ2
H1:
μ1>μ2
H0:
μ1<μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1≠μ2
H0:
μ1≠μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1<μ2
F.
H0:
μ1>μ2
H1:
μ1=μ2
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
(Round to three decimal places as needed.)
State the conclusion for the test.
b. Test the claim in part (a) by using a confidence interval.
The ____ confidence interval estimate is ______ <μ1−μ2< _______
(Round to one decimal place as needed.)
Based on the confidence interval, is prenatal cocaine exposure associated with lower scores of four-year-old children on the test of object assembly?
____ since ___ _____ contained within the confidence interval, it
______ that prenatal cocaine exposure is associated with lower scores.
(Type an integer or a decimal. Do not round.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill