To find a confidence interval for a difference in means \( \mu_1 - \mu_2 \) using the t-distribution given the relevant sample results. Provide the best estimate for \( \mu_1 - \mu_2 \), the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.A 90% confidence interval for \( \mu_1 - \mu_2 \) is calculated using the sample results: - \( \bar{x}_1 = 5.9 \)- \( s_1 = 2.6 \)- \( n_1 = 10 \) - \( \bar{x}_2 = 4.6 \)- \( s_2 = 2.7 \)- \( n_2 = 8 \)Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.- Best estimate = [input field]- Margin of error = [input field]- Confidence interval = [input field] to [input field]

The random variable is the difference of two population means. There are two independent samples…

Answered: Use the t-distribution to find a…

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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Use the t-distribution to find a confidence interval for a difference in means μ1−μ2μ1-μ2 given the relevant sample results. Give the best estimate for μ1−μ2μ1-μ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.A 95% confidence interval for μ1−μ2μ1-μ2 using the sample results x⎯⎯1=515x¯1=515, s1=136s1=136, n1=300n1=300 and x⎯⎯2=462x¯2=462, s2=94s2=94, n2=200n2=200Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.Best estimate = Enter your answer; Best estimateMargin of error = Enter your answer; Margin of errorConfidence interval : Enter your answer; Confidence interval, value 1 to Enter your answer; Confidence interval, value 2
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