In: Statistics and Probability
IQ and Lead Exposure Data Set 7 “IQ and Lead” in Appendix B lists fullIQ scores for a random sample of subjects with low lead levels in their blood and an-other random sample of subjects with high lead levels in their blood. The statisticsare summarized below. Use a .05 significance level to test the claim that IQ scores forindividuals with low blood lead levels is higher than IQ scores for individuals with highblood lead levels. Round to 3 decimal places.Low Blood Lead Leveln= 58 ̄x= 94.87442s= 10.27431High Blood Lead Leveln= 51 ̄x= 86.21656s= 6.544262
(a) Test the claim using a hypothesis test.Identify the null and alternative hypothesis,test statistic, p-value and final conclusion that addresses the original claim.
(b) Test the claim by constructing an appropriate confidence interval.Write a conclusion for the confidence interval.
since, both the confidence limits are positive value,
therefore we can say that there is sufficient evidence to support the claim that IQ scores for individuals with low blood lead levels is higher than IQ scores for individuals with high blood lead levels.