Question Help Suppose you wish to estimate a population mean co ect to within 0.

Question

Question Help Suppose you wish to estimate a population mean co ect to within 0.13 with a confidence level of 90 You do not know 2, but you know that the observations wil range in value between 34 and 42. Complete parts a and b. a. Find the approximate sample size that will produce the desired accuracy of the estimate. You wish to be conservative to ensure that the sample size will be ample for achieving the desired accuracy of the estimate. (Hint: assume that the range of the observations will equal 40.) The approximate sample size is (Round up to the nearest integer.) b. Calculate the approximate sample size, making the less conservative assumption that the range of the observations is equal to 6o. The approximate sample size is(Round up to the nearest integer.)

Explanation / Answer

a)
4*sd = 42-34 = 8
sd = 2
n = z^2 / sd^2/e^2
= 1.645^2 * 2^2/0.13^2
= 640.479
=641

b) 6 * sd = 8
sd = 4/3
n = z^2 / sd^2/e^2
= 1.645^2 * 2(4/3)^2/0.13^2
= 569.314924392
= 570

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