Construct a 95% confidence interval for u, - 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 =71 mg, s, = 3.81 mg, n, = 15 X, = 50 mg, S,=2.02 mg, n2 = 20 Confidence .2 .2 interval when variances are not n2 equal d.f. is the smaller of n, -1 or n, -1 Enter the endpoints of the interval.
Construct a 95% confidence interval for u, - 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 =71 mg, s, = 3.81 mg, n, = 15 X, = 50 mg, S,=2.02 mg, n2 = 20 Confidence .2 .2 interval when variances are not n2 equal d.f. is the smaller of n, -1 or n, -1 Enter the endpoints of the interval.
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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![Construct a 95% confidence interval for \( \mu_1 - \mu_2 \) 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
- \( x_1 = 71 \) mg, \( s_1 = 3.81 \) mg, \( n_1 = 15 \)
- \( x_2 = 50 \) mg, \( s_2 = 2.02 \) mg, \( n_2 = 20 \)
### Confidence interval when variances are not equal
\[ (x_1 - x_2) - t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} < \mu_1 - \mu_2 < (x_1 - x_2) + t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} \]
- d.f. is the smaller of \( n_1 - 1 \) or \( n_2 - 1 \)
### Enter the endpoints of the interval:
\[ < \mu_1 - \mu_2 < \]
(Round to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69841bf7-b9f0-4fc9-8153-6ebe52f9298f%2F4571b237-784a-4bee-aedd-6c4a10898013%2Fulugv3.jpeg&w=3840&q=75)
Transcribed Image Text:Construct a 95% confidence interval for \( \mu_1 - \mu_2 \) 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
- \( x_1 = 71 \) mg, \( s_1 = 3.81 \) mg, \( n_1 = 15 \)
- \( x_2 = 50 \) mg, \( s_2 = 2.02 \) mg, \( n_2 = 20 \)
### Confidence interval when variances are not equal
\[ (x_1 - x_2) - t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} < \mu_1 - \mu_2 < (x_1 - x_2) + t_c \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} \]
- d.f. is the smaller of \( n_1 - 1 \) or \( n_2 - 1 \)
### Enter the endpoints of the interval:
\[ < \mu_1 - \mu_2 < \]
(Round to the nearest integer as needed.)
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