**Finding a Confidence Interval for the Difference in Means Using a t-Distribution**To calculate the confidence interval for the difference in means \( \mu_d = \mu_1 - \mu_2 \) using paired data, assume the data comes from random samples from approximately normally distributed populations. The differences are computed using \( d = x_1 - x_2 \).For a 90% confidence interval for \( \mu_d \) based on the paired difference, these sample results are given:- Mean of difference \( \bar{x}_d = 550.4 \)- Standard deviation of difference \( s_d = 141.7 \)- Sample size \( n_d = 100 \)**Instructions:**Calculate the best estimate for \( \mu_d \), the margin of error, and the confidence interval.Provide the exact value for the best estimate. For the margin of error and the confidence interval, round your answers to two decimal places.- **Best estimate =** - (Input: 550.4)- **Margin of error =** - (Input: ___)- **The 90% confidence interval is** - (Input: ___)

For a confidence level of 1 − α, use Table IV to find tα/2 with df = n − 1.For a 90% confidence interval, α = 0.10. From Table IV, we determine that, for df = n − 1 = 100 − 1 = 99, we have tα/2 = t0.10/2 = t0.05 = 1.66. Margin of error=tα/2sdn=1.66141.7100=23.52The endpoints of the confidence interval for μ1 − μ2 areCI=x¯d±tα/2sdn=550.4±23.52=(526.88, 573.92)

Math

Statistics

Use a t-distribution to find a confidence interval for the difference in means µa = H| – H2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d = x1 – x2. A 90% confidence interval for u using the paired difference sample results īa = 550.4, Sa = 141.7,nd = 100. Give the best estimate for uj, the margin of error, and the confidence interval. 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.

Use a t-distribution to find a confidence interval for the difference in means µa = H| – H2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d = x1 – x2. A 90% confidence interval for u using the paired difference sample results īa = 550.4, Sa = 141.7,nd = 100. Give the best estimate for uj, the margin of error, and the confidence interval. 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.

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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