Suppose You Want to Estimate the Difference Between Two Population $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 62$

question 16

Essay

Suppose you want to estimate the difference between two population means correct to within 2.5 with probability 0.95. If prior information suggests that the population variances are both equal to the value 20, and you want to select independent random samples of equal size from the populations, how large should the sample sizes be? A) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 62$
B) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 25$
C) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 44$
D) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 18$

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Definitions:

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A decision-making process where more than half (51% or more) of the votes cast by members of a group are in agreement, thereby determining the outcome.

Lockup Agreement

A contract between a target corporation and a white knight, giving the knight an option to buy valuable property should a hostile bidder gain control of the target corporation.