Identify test statisticIdentify p-valueConstruct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.__<μ1−μ2<__(Round to three decimal places as needed.) ### Educational Text on Hypothesis Testing**Context:**Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also included are statistics from a study on IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.**Instructions:****a. Use a 0.01 significance level to test the claim:** The mean IQ score for subjects with medium lead levels is higher than the mean score for subjects with high lead levels.**Determine the null and alternative hypotheses:** Assume that:- Population 1 consists of subjects with medium lead levels.- Population 2 consists of subjects with high lead levels.**Hypothesis Options:**- **A.** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 \neq \mu_2 \) - **B.** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 > \mu_2 \) - **C.** \( H_0: \mu_1 \neq \mu_2 \) \( H_1: \mu_1 = \mu_2 \) - **D.** \( H_0: \mu_1 \leq \mu_2 \) \( H_1: \mu_1 > \mu_2 \) **Correct Answer:****B.** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 > \mu_2 \) **Note:**- The null hypothesis (\( H_0 \)) suggests no difference in means.- The alternative hypothesis (\( H_1 \)) suggests that the mean IQ score for subjects with medium lead levels is greater than for those with high lead levels.**Test Statistic:**Calculate the test statistic. (Round to two decimal places as needed.)**Visual Element:**- The image includes options for indicating null and alternative hypotheses, with option B being correctly marked. There is also a placeholder for calculating the ### Data on Lead Levels#### Medium Lead Level Measurements:- 72- 94- 92- 85- 83- 97- 83- 92- 104- 111- 91#### High Lead Level Statistics:- Sample size (\( n_2 \)): 11- Mean (\( \bar{x}_2 \)): 89.356- Standard deviation (\( s_2 \)): 10.454This table presents measurements and statistical data for lead levels categorized into medium and high levels. The "Medium Lead Level" column lists individual measurements, while the "High Lead Level" section provides summary statistics.

Solution To find the confidence interval we will use t distribution.

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. E Click the icon to view the data table of IQ scores. .... 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. VB. Ho P = P2 OA. Họ P1 = P2 OC. Ho H1 H2 H 2 OD. Ho H1 SP2 H P2 The test statistic is. (Round to two decimal places as needed.)

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. E Click the icon to view the data table of IQ scores. .... 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. VB. Ho P = P2 OA. Họ P1 = P2 OC. Ho H1 H2 H 2 OD. Ho H1 SP2 H P2 The test statistic is. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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