**Two Independent Samples Hypothesis Testing***Context:*Two independent samples have been selected, consisting of 95 observations from population 1 and 96 observations from population 2. The sample means have been calculated to be \( \bar{x}_1 = 10.6 \) and \( \bar{x}_2 = 5.4 \). From previous experience with these populations, it is known that the variances are \( \sigma^2_1 = 26 \) and \( \sigma^2_2 = 21 \).**Tasks:**(a) **Find the Standard Deviation \( \sigma_{\bar{x}_1 - \bar{x}_2} \).**- **Answer:** [Insert calculation](b) **Determine the Rejection Region for the Hypothesis Test:**- Null Hypothesis: \( H_0: (\mu_1 - \mu_2) = 2.03 \)- Alternative Hypothesis: \( H_a: (\mu_1 - \mu_2) > 2.03 \)- Significance Level: \( \alpha = 0.02 \)- **Formula:** \( z > \) [Insert critical value](c) **Compute the Test Statistic.**- **Formula for \( z \):** - **Calculation:** \( z = \) [Insert computation]**Final Conclusion:**Choose one of the following:- A. There is not sufficient evidence to reject the null hypothesis that \( (\mu_1 - \mu_2) = 2.03 \).- B. We can reject the null hypothesis that \( (\mu_1 - \mu_2) = 2.03 \) and accept that \( (\mu_1 - \mu_2) > 2.03 \).(d) **Construct a 98% Confidence Interval for \( (\mu_1 - \mu_2) \).**- **Interval:** \( \leq (\mu_1 - \mu_2) \leq \)- **Computation:** [Insert interval calculation]Please complete the calculations using the appropriate statistical methods or software.

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Answered: (1 point) Two independent samples have…

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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