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 0.05 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. A. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ X H n S Low Lead Level H₁ 70 92.07526 15.24224 High Lead Level 2 21 86.91871 9.24124 The test statistic is 1.90. (Round to two decimal places as needed.) The P-value is 0.0315. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ H₂ H₁: H₁ H₂ OA. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OC. 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. OD. Reject the null hypothesis. There is not 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 0.05 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. A. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ X H n S Low Lead Level H₁ 70 92.07526 15.24224 High Lead Level 2 21 86.91871 9.24124 The test statistic is 1.90. (Round to two decimal places as needed.) The P-value is 0.0315. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ H₂ H₁: H₁ H₂ OA. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. OC. 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. OD. Reject the null hypothesis. There is not 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).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Ho: M₁ = ₂
H₁ H₁ H₂
OC. Ho: H₁ H₂
H₁: H₁ H₂
The test statistic is 1.90. (Round to two decimal places as needed.)
The P-value is 0.0315. (Round to three decimal places as needed.)
C
State the conclusion for the test.
a. Use a 0.05 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.
Low Lead Level H₁
High Lead Level 2
B. Ho: ₁ ≤₂
H₁: H₁
H₂
EE
D. Ho: μ₁
H₁: H₁
μ
μ₂
H₂
n
X
S
70 92.07526 15.24224
21 86.91871 9.24124
A. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
C. 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.
D. Reject the null hypothesis. There is not 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).
|<H₁-H₂<
(Round to one decimal ace as needed.)
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