Consider the following hypothesis test.The following results are for two independent samples taken from two populations. ### Hypothesis Test ExampleConsider the following hypothesis test:- Null Hypothesis (\(H_0\)): \(\mu_1 - \mu_2 = 0\)- Alternative Hypothesis (\(H_a\)): \(\mu_1 - \mu_2 \neq 0\)The following results are for two independent samples taken from two populations.**Excel File:** [data10-03.xlsx](#)#### Sample Data- **Sample 1:** - \( n_1 = 80 \) - \( \bar{x}_1 = 104 \) - \( \sigma_1 = 8.4 \)- **Sample 2:** - \( n_2 = 70 \) - \( \bar{x}_2 = 106 \) - \( \sigma_2 = 7.6 \)#### QuestionsEnter negative values as negative numbers.a. What is the value of the test statistic? (to 2 decimals) [Input Field]b. What is the \( p \)-value? (to 4 decimals) [Input Field]c. With \(\alpha = 0.05\), what is your hypothesis testing conclusion? [Dropdown Menu: - Select your answer -]

Sample 1 Sample 2 Sample size (n1) = 80 Sample size (n2) = 70 Sample mean (x¯1) = 104 Sample…

Answered: Ho: H1 – 42 = 0 Ha: H1 – 42 +0…

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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Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
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Ho: H1 – 42 = 0 Ha: H1 – 42 +0 following results are for two independent samples taken from two populations. el File: data10-03.xlsx Sample 1 Sample 2 nį = 80 n2 = 70 = 104 E2 = 106 01 = 8.4 02 = 7.6