O E atistic is | (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. 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) and (b) below.
Click the icon to view the data table of IQ scores.
a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.
What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels.
A. Ho: H1 SH2
B. Ho: H1 # H2
IQ scores
H1: 44> H2
H4: Hy > H2
OC. Ho: H1 = H2
D. Ho: H1 = H2
Medium Lead Level High Lead Level
H1: H1> H2
H1: 41 # H2
72
n2 = 11
94
92
The test statistic is
(Round to two decimal places as needed.)
X2 = 88.366
85
85
The P-value is
(Round to three decimal places as needed.)
S2 = 9.630
97
83
State the conclusion for the test.
92
97
111
A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
91
B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium 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 medium lead levels have higher IQ scores.
D. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.
<H1-H2<
(Round to two decimal places as needed.)
Print
Done
Does the confidence interval support the conclusion of the test?
v because the confidence interval contain v
only negative values.
only positive values.
zero.
Transcribed Image Text:Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. 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) and (b) below. Click the icon to view the data table of IQ scores. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. A. Ho: H1 SH2 B. Ho: H1 # H2 IQ scores H1: 44> H2 H4: Hy > H2 OC. Ho: H1 = H2 D. Ho: H1 = H2 Medium Lead Level High Lead Level H1: H1> H2 H1: 41 # H2 72 n2 = 11 94 92 The test statistic is (Round to two decimal places as needed.) X2 = 88.366 85 85 The P-value is (Round to three decimal places as needed.) S2 = 9.630 97 83 State the conclusion for the test. 92 97 111 A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. 91 B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium 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 medium lead levels have higher IQ scores. D. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. <H1-H2< (Round to two decimal places as needed.) Print Done Does the confidence interval support the conclusion of the test? v because the confidence interval contain v only negative values. only positive values. zero.
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