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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
icon
Related questions
Question
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.
tatcrunch
w
S
+
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
P
C
$
888
R
V
%
ar
MacBook Air
B
H
FEE
N
*
Low Lead Level
High Lead Level
8
M
H
1 87 93.27571 15.76095
21 87.96339 8.32238
2
O
P
Next
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. tatcrunch w S + 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 P C $ 888 R V % ar MacBook Air B H FEE N * Low Lead Level High Lead Level 8 M H 1 87 93.27571 15.76095 21 87.96339 8.32238 2 O P Next
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.
tcrunch
@
W
S
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
$
R
%
S
V
T
00000000
MacBook Air
B
A
Y
H
XII
N
---
OB. Ho: H1
H₁: P1
*
Low Lead Level
High Lead Level 2
8
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
Next
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. tcrunch @ W S 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 $ R % S V T 00000000 MacBook Air B A Y H XII N --- OB. Ho: H1 H₁: P1 * Low Lead Level High Lead Level 2 8 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 Next
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt