random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)(−1.25,0.87). Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval? A) The width of the interval will increase. B) The width of the interval will decrease. C) The interval will contain no negative numbers. D) The level of confidence will increase. E) The sample means will increase

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)(−1.25,0.87).

Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?

A) The width of the interval will increase.

B) The width of the interval will decrease.

C) The interval will contain no negative numbers.

D) The level of confidence will increase.

E) The sample means will increase.

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