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. Low Lead Level High Lead Leve a. Use a 0.01 significance level to test the claim that the mean IQ core of people with low blood lead levels is higher than the mean IQ score of peop What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects OA. Ho H H2 O B. Ho: H1 SH2 OC. Ho: H = H2 OD. Hg: H = 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 not 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 not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. C. 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 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?
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. Low Lead Level High Lead Leve a. Use a 0.01 significance level to test the claim that the mean IQ core of people with low blood lead levels is higher than the mean IQ score of peop What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects OA. Ho H H2 O B. Ho: H1 SH2 OC. Ho: H = H2 OD. Hg: H = 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 not 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 not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. C. 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 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
Low Lead Level H1
85 90.93926 15.82423
High Lead Level 2
27 86.13192 8.64379
a. Use a 0.01 significance level to test the claim that the mean IQ score
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.
O A. Ho: H 2
B. Ho: H SH2
OC. Ho: H =H2
D. Ho: H = 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.
O A. Reject the null hypothesis. There is not 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 not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
OC. Reject the nul hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
D. Fail to reject the null hypothesis. There is 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?
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