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. A.H0:μ1=μ2H1:μ1>μ2 B.H0:μ1<μ2H1:μ1=μ2 C.H0:μ1=μ2H1:μ1≠μ2 D.H0:μ1≠μ2H1:μ1=μ2 E.H0:μ1=μ2H1:μ1<μ2 F.H0:μ1>μ2H1: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. ____ the null hypothesis. There ____ sufficient evidence to support the claim that prenatal cocaine exposure is associated with lower scores of four-year-old children on the test of object assembly. 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.)

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Description: 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 mathematic

a. Let μ1 is defined as the population mean of children born to cocaine users, and μ2 is defined as…

Answered: A study was conducted to assess the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 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

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.

____ the null hypothesis. There ____ sufficient evidence to support the claim that prenatal cocaine exposure is associated with lower scores of four-year-old children on the test of object assembly.

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.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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