**Testing the Claim $ \mu_1 < \mu_2 $: A Step-by-Step Guide**Assume the samples are normally distributed, random, and independent.### Given Data:\[\sigma_1^2 \neq \sigma_2^2\]$ s_1 = 0.75; \, s_2 = 0.71 $$ \bar{x}_1 = 34.08; \, \bar{x}_2 = 34.32 $$ n_1 = 23; \, n_2 = 32 $### Steps:**a. Calculate the Standard Error $ s_{\bar{x}_1 - \bar{x}_2} $:**- Fill in the box (use 3 decimal places).**b. Calculate the t-test statistic using the standard error from part a. $ t = $:**- Fill in the box (use 2 decimal places).**c. What are the degrees of freedom? $ df = $:**- Fill in the box.**d. At $ \alpha = 0.10 $. Use the distribution table to find the critical values for the rejection region. $ t_c = $:**- Fill in the box (use 4 decimal places).**e. Conclusion:**What is your conclusion?- Reject the null hypothesis and support the claim- Accept the alternative hypothesis and reject the claim- Accept the null hypothesis and support the claim- Fail to reject the null hypothesis and do not support the claim- Reject the alternative hypothesis and support the claimFollow these steps to solve the hypothesis test and make an appropriate conclusion based on the statistical evidence.

Answered: of # o} $1 = 0.75; s2 = 0.71 E = 34.08…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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of # o} $1 = 0.75; s2 = 0.71 E = 34.08 ; z2 = 34.32 %3D %3D n1 = 23 ; n2 = 32 %3! a. Calculate the Standard Error si,-i, = (use 3 decimal places) b. Calculate the t-test statistic using the standard error from part a. t = (use 2 decimal places) c. What are the degrees of freedom? df %3D