HELP I NEED IN AN HOUR.first box option is yes or no. Second box option is only positive , only negative , zero **Statistical Analysis of IQ Scores and Lead Levels**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. The 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. Hypothesis Testing at 0.05 Significance Level**To test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean IQ for subjects with high lead levels, we define 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.**Hypotheses:**- **A**: \( H_0: \mu_1 = \mu_2 \) (Null Hypothesis) \( H_1: \mu_1 > \mu_2 \) (Alternative Hypothesis)- **B**: \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 < \mu_2 \)- **C**: \( H_0: \mu_1 \leq \mu_2 \) \( H_1: \mu_1 > \mu_2 \)- **D**: \( H_0: \mu_1 \geq \mu_2 \) \( H_1: \mu_1 < \mu_2 \)The test statistic is \( t = \_\_ \). (Round to two decimal places as needed.)The P-value is \( \_\_ \). (Round to three decimal places as needed.)**Conclusion for the Test:**- **O**: 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**: Reject the null hypothesis. There is not 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 sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.- **D**: Fail to reject the null 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.1. Click the icon to view the data table of IQ scores.**Options for Hypotheses:**- **Option C** - \( H_0: \mu_1 \leq \mu_2 \) - \( H_1: \mu_1 > \mu_2 \)- **Option D** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \)**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.** 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.** Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.- **C.** Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.- **D.** Fail to reject the null hypothesis. There is 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.**- \( \mu_1 - \mu_2 = \) _____ (Round to two decimal places as needed.)**Does the confidence interval support the conclusion of the test?**- _____ because the confidence interval contains _____.

We have to conduct t test for testing the difference in the mean for two independent samples and also to create confidence interval.

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 0.05 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 altemative 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 O B. Ho: H1 H2 IQ scores O D. Ho HH2 H H >2 OC. Ho: H1 SH2 Medium Lead Level O High Lead Level 72 n2 - 11 80 The test statistic is. (Round to two decimal places as needed.) 92 X2 = 88.917 85 80 97 83 92 100 The P-value is (Round to three decimal places as needed.) S2- 10.866 State the conclusion for the test. O A. 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. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher 1Q scores. OC. 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 sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. 111 91 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 le

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P