The image presents a hypothesis testing scenario for two independent samples from two populations. ### Hypothesis TestThe hypotheses being tested are:- Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 \leq 0 \)- Alternative Hypothesis (\( H_a \)): \( \mu_1 - \mu_2 > 0 \)### Sample DataThe following results are provided for the two samples:- **Sample 1:** - Sample size (\( n_1 \)) = 40 - Sample mean (\( \bar{x}_1 \)) = 25.2 - Standard deviation (\( \sigma_1 \)) = 5.2- **Sample 2:** - Sample size (\( n_2 \)) = 50 - Sample mean (\( \bar{x}_2 \)) = 22.8 - Standard deviation (\( \sigma_2 \)) = 6.0### Questionsa. **Test Statistic Calculation:** - Find the value of the test statistic, and round it to 2 decimal places.b. **P-value Calculation:** - Calculate the p-value using the z-value, and round to 4 decimal places.c. **Hypothesis Testing Conclusion:** - With a significance level (\( \alpha \)) of 0.05, determine the conclusion of the hypothesis test. Choose the correct option to support the null hypothesis (\( H_0 \)) or not.**Icon Key:** Not provided in the image.This setup assists in analyzing the difference in means between two populations using statistical hypothesis testing techniques.

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Description: The image presents a hypothesis testing scenario for two independent samples from two populations. ### Hypothesis TestThe hypotheses being tested are:- Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 \leq 0 \)- Alternative Hypothesis (\( H_a \)): \( \

a).Given, the hypothesis to be tested here is: H0:μ1-μ2≤0H1:μ1-μ2>0 This is a right tailed test.…

Math

Statistics

onsider the following hypothesis test. The following results are for two independent samples taken from the two populations. H: µ1 – 42 > 0 Sample 1 Sample 2 n = 40 50 T1 = 25.2 I2 = 22.8 a. What is the value of the test statistic (round to 2 decimals)? o1 = 5.2 Oz = 6.0 b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places.

onsider the following hypothesis test. The following results are for two independent samples taken from the two populations. H: µ1 – 42 > 0 Sample 1 Sample 2 n = 40 50 T1 = 25.2 I2 = 22.8 a. What is the value of the test statistic (round to 2 decimals)? o1 = 5.2 Oz = 6.0 b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places.

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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