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 0.01 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. OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂2 H₁: Hy > H₂ OD. Ho: H₁ H₂ H₁: Hy > H₂ IQ Scores Medium Lead Level High Lead Level 72 n₂ = 11 80 92 85 83 97 83 92 103 111 91 X2 = 88.560 $2 = 10.857

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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 0.01 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.
OA. Ho: H₁ H₂
H₁: Hy #H₂
OC. Ho: H₁ H₂
H₁: H₁ H₂
The test statistic is
The P-value is
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
←
State the conclusion for the test.
OB. Ho: H₁ H₂
H₁: H₁ H₂
OD. Ho. H
= 2
H₁: Hy > H₂
IQ Scores
Medium Lead Level High Lead Level
72
n₂ = 11
80
X2 = 88.560
$2 = 10.857
92
85
83
97
83
92
103
111
91
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 0.01 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. OA. Ho: H₁ H₂ H₁: Hy #H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) ← State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho. H = 2 H₁: Hy > H₂ IQ Scores Medium Lead Level High Lead Level 72 n₂ = 11 80 X2 = 88.560 $2 = 10.857 92 85 83 97 83 92 103 111 91
State the conclusion for the test.
O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
OB. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
O D. 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.
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. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. OB. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. O D. 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. 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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