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). x S Low Lead Level 1 86 93.98227 15.74276 High Lead Level H2 21 86.93675 8.48044 The test statistic is 1.94. (Round to two decimal places as needed.) The P-value is 0.028. (Round to three decimal places as needed.) State the conclusion for the test. A. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. *C. Reject the null hypothesis. There is not 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). -0.9μ-H29.5 (Round to one decimal place as needed.) c. Does exposure to lead appear to have an effect on IQ scores? No, because the confidence interval contains zero.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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).
x
S
Low Lead Level 1
86
93.98227 15.74276
High Lead Level H2
21
86.93675 8.48044
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). x S Low Lead Level 1 86 93.98227 15.74276 High Lead Level H2 21 86.93675 8.48044
The test statistic is 1.94. (Round to two decimal places as needed.)
The P-value is 0.028. (Round to three decimal places as needed.)
State the conclusion for the test.
A. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.
*C. Reject the null hypothesis. There is not 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).
-0.9μ-H29.5
(Round to one decimal place as needed.)
c. Does exposure to lead appear to have an effect on IQ scores?
No, because the confidence interval contains zero.
Transcribed Image Text:The test statistic is 1.94. (Round to two decimal places as needed.) The P-value is 0.028. (Round to three decimal places as needed.) State the conclusion for the test. A. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. *C. Reject the null hypothesis. There is not 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). -0.9μ-H29.5 (Round to one decimal place as needed.) c. Does exposure to lead appear to have an effect on IQ scores? No, because the confidence interval contains zero.
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