Two 95 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and J. One confidence interval, I400, will be constructed using samples of size 400 from each of R and J, and the other confidence interval, I100, will be constructed using samples of size 100 from each of R and J. When all other things remain the same, which of the following describes the relationship between the two confidence intervals? a)The width of i400 will be 4 times the width of i100. b) The width of i400 will be 2 times the width of i100 c)The width of i400 will be equal to the width of i100. d)The width of I400 will be 1/2 times the width of I100 e)The width of I400 will be 1/4 times the width of I100.
Two 95 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and J. One confidence interval, I400, will be constructed using samples of size 400 from each of R and J, and the other confidence interval, I100, will be constructed using samples of size 100 from each of R and J.
When all other things remain the same, which of the following describes the relationship between the two confidence intervals?
a)The width of i400 will be 4 times the width of i100.
b) The width of i400 will be 2 times the width of i100
c)The width of i400 will be equal to the width of i100.
d)The width of I400 will be 1/2 times the width of I100
e)The width of I400 will be 1/4 times the width of I100.
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