**Construct a 90% Confidence Interval for Mean Cholesterol Content Difference**We aim to construct a 90% confidence interval for $ \mu_1 - \mu_2 $ using the sample statistics for the mean cholesterol content of hamburgers from two different fast food chains. The formula below is applied for populations that are approximately normal with unequal variances.### Sample Statistics:- For Fast Food Chain 1: - Sample Mean ($ \bar{x}_1 $): 116 mg - Sample Standard Deviation ($ s_1 $): 3.71 mg - Sample Size ($ n_1 $): 10- For Fast Food Chain 2: - Sample Mean ($ \bar{x}_2 $): 62 mg - Sample Standard Deviation ($ s_2 $): 2.02 mg - Sample Size ($ n_2 $): 16### Confidence Interval Formula When Variances Are Not Equal:\[(\bar{x}_1 - \bar{x}_2) - t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} < \mu_1 - \mu_2 < (\bar{x}_1 - \bar{x}_2) + t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}\]- Degrees of Freedom (d.f.) is the smaller of $ n_1 - 1 $ or $ n_2 - 1 $.### Task:Enter the endpoints of the interval: \[ \text{[ ]} < \mu_1 - \mu_2 < \text{[ ]} \]*(Round to the nearest integer as needed.)*

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Construct a 90% confidence interval for u4 - H, with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances. Stats X, = 116 mg, s., = 3.71 mg, n, = 10 X2 = 62 mg, s, = 2.02 mg, n, = 16 Confidence (* -*2) interval when -t. n1 n2 n2 variances are not equal d.f. is the smaller of n, -1 or n2 -1 Enter the endpoints of the interval. D

Construct a 90% confidence interval for u4 - H, with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances. Stats X, = 116 mg, s., = 3.71 mg, n, = 10 X2 = 62 mg, s, = 2.02 mg, n, = 16 Confidence (* -*2) interval when -t. n1 n2 n2 variances are not equal d.f. is the smaller of n, -1 or n2 -1 Enter the endpoints of the interval. D

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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