The IQ scores for a random sample of subjects with low lead lev another random sample of subjects with high lead levels in their statistics are summarized in the accompanying table. Assume th independent simple random samples selected from normally dis assume that the population standard deviations are equal. Comp
The IQ scores for a random sample of subjects with low lead lev another random sample of subjects with high lead levels in their statistics are summarized in the accompanying table. Assume th independent simple random samples selected from normally dis assume that the population standard deviations are equal. Comp
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:K
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.
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State the conclusion for the test.
Tech help
30
A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
OB. Reject the null hypothesis. There is not 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 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 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 place as needed.)
c. Does exposure to lead appear to have an effect on IQ scores?
E
because the confidence interval contains
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C
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Low Lead Level
High Lead Level
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Transcribed Image Text:K
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.
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W
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OA. Ho: H₁ H2
H₁: H1 H2
=
OC. Ho: P1 P2
H₁: H1 H₂
The test statistic is
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.
The P-value is
State the conclusion for the test.
Tech help
ZO F3
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
E
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00000000
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OB. Ho: H1
H₁: P1
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Low Lead Level
High Lead Level 2
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OD. Ho: P1 P2
H₁: H₁ H2
H2
P2
M
1 87 93.27571 15.76095
21
87.96339 8.32238
K
0
CO
command
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