A researcher determined the size sample necessary to estimate two population means Y and Z.The indicated sizes were 200 to estimate Y and 300 to estimate Z with the specified degrees of confidence and precision.The researcher decided therefore to use a sample of size 250.Assuming the estimates of the population standard deviation were correct
A)the estimate of Y is more precise than desired while that for Z is less precise than desired.
B)the estimate of Y is less precise than desired while that for Z is more precise than desired.
C)Y is estimated with exactly the specified degree of precision while Z is estimated less precisely than desired.
D)Z is estimated with exactly the specified degree of precision while Y is estimated less precisely than desired.
E)Both Y and Z are estimated with the exact specified degree of precision.

Question

Quizplus · Accepted Answer

The sample size of 200 was determined to estimate Y with the specified degree of precision and confidence, but a smaller sample of 250 was used. This means that the estimate of Y is more precise than desired. On the other hand, the sample size of 300 was determined to estimate Z with the specified degree of precision and confidence. Still, a smaller sample of 250 was used, which means that the estimate of Z is less precise than desired. Therefore, the correct choice is A.

A Researcher Determined the Size Sample Necessary to Estimate Two