You decide to sample from two random variables X and Y. You take 61 observations from X and find it has a sample mean of 9.8 with sample variance of 1.2. You take 81 observations from Y and find it has a sample mean of 10.2 with sample variance of 1.4. Assume you believe the mean of X is smaller than the mean of Y. Q4 a) Solve for the two sided 95% confidence interval for the true difference in means between X and Y. Assume you know they have unequal variance. + Drag and drop an image or PDF file or click to browse... Q4 b) Solve for the approximate one sided 80% confidence interval for the true difference in means between X and Y. Assume you know they have equal variance and the direction is based on your beliefs.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q4 Info
You decide to sample from two random variables X and Y. You take 61 observations from X and find it has a sample
mean of 9.8 with sample variance of 1.2. You take 81 observations from Y and find it has a sample mean of 10.2 with
sample variance of 1.4. Assume you believe the mean of X is smaller than the mean of Y.
Q4 a)
Solve for the two sided 95% confidence interval for the true difference in means between X and Y. Assume you know
they have unequal variance.
+ Drag and drop an image or PDF file or click to browse...
Q4 b)
Solve for the approximate one sided 80% confidence interval for the true difference in means between X and Y.
Assume you know they have equal variance and the direction is based on your beliefs.
Transcribed Image Text:Q4 Info You decide to sample from two random variables X and Y. You take 61 observations from X and find it has a sample mean of 9.8 with sample variance of 1.2. You take 81 observations from Y and find it has a sample mean of 10.2 with sample variance of 1.4. Assume you believe the mean of X is smaller than the mean of Y. Q4 a) Solve for the two sided 95% confidence interval for the true difference in means between X and Y. Assume you know they have unequal variance. + Drag and drop an image or PDF file or click to browse... Q4 b) Solve for the approximate one sided 80% confidence interval for the true difference in means between X and Y. Assume you know they have equal variance and the direction is based on your beliefs.
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