**Title: Hypothesis Testing with a t-Distribution****Instructions:**Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using \( d = x_1 - x_2 \).**Hypothesis Test:**- Null Hypothesis (\( H_0 \)): \( \mu_d = 0 \)- Alternative Hypothesis (\( H_a \)): \( \mu_d \neq 0 \)**Given Data:**- Paired difference sample mean (\( \bar{x}_d \)): 12.60- Standard deviation of differences (\( s_d \)): 10.1- Sample size (\( n_d \)): 25**Tasks:**1. **Calculate the Test Statistic and p-value:** - **Test Statistic:** (Enter rounded value to two decimal places) - **p-value:** (Enter rounded value to three decimal places)2. **Conclusion at a 5% Significance Level:** - Options: - Reject \( H_0 \) - Do not reject \( H_0 \)**Note:** Please perform the necessary calculations and use statistical software or tables if required to find the precise test statistic and p-value before making decisions about the hypotheses.

Given that: Sample mean difference, x¯d=12.60 Sample standard deviation of the difference, sd=10.1…

Answered: Use a t-distribution and the given…

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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