IQ scores for a random sample of subjects wit another random sample of subjects with high I cted. The statistics are summarized in the acc wo samples are independent simple random s ibuted populations. Do not assume that the po al. Complete parts (a) to (c) below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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12.

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.
n
S
Low Lead Level H1
88
93.97345 15.96759
High Lead Level
H2
22
87.55119 8.83761
The test statistic is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
A. Reject the null hypothesis. There is 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 sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
C. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher 1Q scores.
D. 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).
(Round to one decimal place as needed.)
c. Does exposure to lead appear to have an effect on IQ scores?
because the confidence interval contains
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. n S Low Lead Level H1 88 93.97345 15.96759 High Lead Level H2 22 87.55119 8.83761 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is 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 sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. C. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher 1Q scores. D. 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). (Round to one decimal place as needed.) c. Does exposure to lead appear to have an effect on IQ scores? because the confidence interval contains
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.
X
Low Lead Level H1
88
93.97345 15.96759
High Lead Level H2
22
87.55119 8.83761
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.
B. Họ: H1 SH2
H1: Hy> H2
A. Ho: H1 = H2
H1: Hy> H2
OC. Ho: H1 = H2
O D. Ho: H1 # H2
H4: Hy> H2
The test statistic is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
A. Reject the null hypothesis. There is 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 sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
Reiect the pull hynothesis There is pot sufficient evidence to supnort the claim that subiects with low lead levels bave hiaber IO scores
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. X Low Lead Level H1 88 93.97345 15.96759 High Lead Level H2 22 87.55119 8.83761 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. B. Họ: H1 SH2 H1: Hy> H2 A. Ho: H1 = H2 H1: Hy> H2 OC. Ho: H1 = H2 O D. Ho: H1 # H2 H4: Hy> H2 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is 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 sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. Reiect the pull hynothesis There is pot sufficient evidence to supnort the claim that subiects with low lead levels bave hiaber IO scores
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