State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. O B. 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. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.
a. Use a 0.05 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.
OA. Ho: H₁ H₂
H₁: Hy > H₂
ỌC. Ho: H=H2
H₁ H₁ H₂
(Round to two decimal places as needed.)
The P-value is. (Round to three decimal places as needed.)
The test statistic is
C
State the conclusion for the test.
OB. Ho: H₁ H₂
H₁: Hy > H₂
O D. Ho: H₁ #4¹₂
H₁ H₁ H₂
IQ Scores
Medium Lead Level High Lead Level
72
n₂ = 11
82
92
X₂ = 87.308
85
81
97
83
92
97
111
91
$₂ = 10.184
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. a. Use a 0.05 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. OA. Ho: H₁ H₂ H₁: Hy > H₂ ỌC. Ho: H=H2 H₁ H₁ H₂ (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) The test statistic is C State the conclusion for the test. OB. Ho: H₁ H₂ H₁: Hy > H₂ O D. Ho: H₁ #4¹₂ H₁ H₁ H₂ IQ Scores Medium Lead Level High Lead Level 72 n₂ = 11 82 92 X₂ = 87.308 85 81 97 83 92 97 111 91 $₂ = 10.184
State the conclusion for the test.
O A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
O B. 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.
O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
O 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.)
Does the confidence interval support the conclusion of the test?
because the confidence interval contains
Transcribed Image Text:State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. O B. 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. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. O 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.) Does the confidence interval support the conclusion of the test? because the confidence interval contains
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