Identify the null hypothesis (, alternative hypothesis , test statistic, critical value(s), P-value (range of P-value), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean IQ score of people with low lead levels is greater than the mean IQ score of people with high lead levels. 2. Construct a confidence interval suitable for the testing the given claim.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Identify the null hypothesis (, alternative hypothesis , test statistic, critical value(s), P-value (range of P-value), conclusion about the null hypothesis, and final conclusion that addresses the original claim.

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.

  1. Use a 0.05 significance level to test the claim that the mean IQ score of people with low lead levels is greater than the mean IQ score of people with high lead levels.

2. Construct a confidence interval suitable for the testing the given claim.

Low Lead Level High Lead Level
n1 = 78 n2 = 21
x1= 92.88 x2 = 86.90
s1 = 15.34 s2 = 8.99
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