Section 9.2 Question #7 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. View the data table of IQ scores. Medium Lead Level High Lead Level 72 n2 = 11 96 92 _ x2 = 91.815 85 90 s2 = 10.365 97 83 92 104 111 91 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. A. H0: μ1 ≠ μ2 H1: μ1 > μ2 B. H0: μ1 = μ2 H1: μ1 ≠ μ2 C. H0: μ1 ≤ μ2 H1: μ1 > μ2 D. H0: μ1 = μ2 H1: μ1 > μ2 The test statistic, t, 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 sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. 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. _________ < μ1 − μ2 < ______________ (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? ________ ( A. Yes, B. No ) because the confidence interval contains ________ ( A. zero, B. only negative values, C. only positive values).

Section 9.2 Question #7 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. View the data table of IQ scores. Medium Lead Level High Lead Level 72 n2 = 11 96 92 _ x2 = 91.815 85 90 s2 = 10.365 97 83 92 104 111 91 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. A. H0: μ1 ≠ μ2 H1: μ1 > μ2 B. H0: μ1 = μ2 H1: μ1 ≠ μ2 C. H0: μ1 ≤ μ2 H1: μ1 > μ2 D. H0: μ1 = μ2 H1: μ1 > μ2 The test statistic, t, 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 sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. 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. _ < μ1 − μ2 < __ (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? ( A. Yes, B. No ) because the confidence interval contains ( A. zero, B. only negative values, C. only positive values).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Section 9.2

Question #7

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.

View the data table of IQ scores.

Medium Lead Level

High Lead Level

n₂= 11

x₂ = 91.815

s₂= 10.365

104

111

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.

A. H₀: μ₁≠ μ₂

H₁: μ₁ > μ₂

B. H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

C. H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

D. H₀: μ₁ = μ₂

H₁: μ₁ > μ₂

The test statistic, t, 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 sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

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.

_________ < μ₁ − μ₂ < ______________

(Round to three decimal places as needed.)

Does the confidence interval support the conclusion of the test?

________ ( A. Yes, B. No ) because the confidence interval contains ________ ( A. zero, B. only negative values, C. only positive values).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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