A study was conducted involving a treatment group and a placebo group. The results are summarized in the table, which assumes that the two samples are independent simple random samples drawn from normally distributed populations. The population standard deviations are considered equal. A 0.05 significance level is set for both parts.### Table Summary| | Treatment ($H_1$) | Placebo ($H_2$) ||------------|---------------------|--------------------|| Sample Size ($n$) | 26 | 34 || Mean ($x$) | 2.32 | 2.66 || Standard Deviation ($s$) | 0.61 | 0.99 |### Hypotheses Options:1. **Option A:** - Null Hypothesis ($H_0$): $ \mu_1 = \mu_2 $ - Alternative Hypothesis ($H_1$): $ \mu_1 < \mu_2 $2. **Option B:** - Null Hypothesis ($H_0$): $ \mu_1 = \mu_2 $ - Alternative Hypothesis ($H_1$): $ \mu_1 > \mu_2 $3. **Option C:** - Null Hypothesis ($H_0$): $ \mu_1 = \mu_2 $ - Alternative Hypothesis ($H_1$): $ \mu_1 \neq \mu_2 $4. **Option D:** - Null Hypothesis ($H_0$): $ \mu_1 = \mu_2 $ - Alternative Hypothesis ($H_1$): $ \mu_1 > \mu_2 $### Test Results:- **Test Statistic ($t$):** $-1.64$ (rounded to two decimal places).- **P-value:** $0.107$ (rounded to three decimal places).### Conclusion for the Test:- Option C is selected: Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.### Part b:Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.\[ (\mu_1

Since population standard deviations are unknown, the appropriate confidence interval is is…

Answered: b. Construct a confidence interval…

b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. (Round to three 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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