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The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. 14 n X S Low Lead Level ₁ 95 92.25774 15.89693 High Lead Level 12 24 86.20404 8.27817 OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. C. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. b. Construct a confidence interval appropriate for the hypothesis test in part (a). 1.3

The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. 14 n X S Low Lead Level ₁ 95 92.25774 15.89693 High Lead Level 12 24 86.20404 8.27817 OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. C. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. b. Construct a confidence interval appropriate for the hypothesis test in part (a). 1.3

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. C The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. μ n X S ₁ 95 92.25774 15.89693 24 86.20404 8.27817 Low Lead Level High Lead Level ₂ OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. 1.3H₁-H₂10.8 (Round to one decimal place as needed.) c. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. b. Construct a confidence interval appropriate for the hypothesis test in part (a).
Transcribed Image Text:The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. C The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. μ n X S ₁ 95 92.25774 15.89693 24 86.20404 8.27817 Low Lead Level High Lead Level ₂ OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. 1.3H₁-H₂10.8 (Round to one decimal place as needed.) c. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. b. Construct a confidence interval appropriate for the hypothesis test in part (a).
The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. a. Use a 0.01 significance level to test the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁ H2 H₁: H₁ H₂ μ n X S Low Lead Level ₁ 95 92.25774 15.89693 High Lead Level 2 24 86.20404 8.27817 OC. Ho: H₁ H₂ H₁: H₁ H₂ OB. Ho: H1 H₂ H₁ H₂ D. Ho: H₁ H2 H₁ H₁ H₂ The test statistic is 2.58. (Round to two decimal places as needed.) The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. A. Reiect the null hypothesis. There is not sufficient evidence to support the claim that subiects with low lead levels
Transcribed Image Text:The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. 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. Complete parts (a) to (c) below. a. Use a 0.01 significance level to test the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁ H2 H₁: H₁ H₂ μ n X S Low Lead Level ₁ 95 92.25774 15.89693 High Lead Level 2 24 86.20404 8.27817 OC. Ho: H₁ H₂ H₁: H₁ H₂ OB. Ho: H1 H₂ H₁ H₂ D. Ho: H₁ H2 H₁ H₁ H₂ The test statistic is 2.58. (Round to two decimal places as needed.) The P-value is 0.006. (Round to three decimal places as needed.) State the conclusion for the test. A. Reiect the null hypothesis. There is not sufficient evidence to support the claim that subiects with low lead levels
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