A student wants to estimate the mean score of all college students for a particu
ID: 3131871 • Letter: A
Question
A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to make a rough estimate of the standard deviation of those scores. Possible scores range from 600 to 1000. Use technology and the estimated standard deviation to determine the sample size corresponding to a 99%confidence level and a margin of error of 100 points. What isn't quite right with this exercise?
The range rule of thumb estimate for the standard deviation is _________.
Explanation / Answer
Range rule of thumb estimate for the standard deviation = (Max Value - Min Value)/4 = (1000- 600)/4 = 400/4 = 100
Compute Sample Size
n = (Z a/2 * S.D / ME ) ^2
Z/2 at 0.01% LOS is = 2.58 ( From Standard Normal Table )
Standard Deviation ( S.D) = 100
ME =100
n = ( 2.58*100/100) ^2
= (258/100 ) ^2
= 6.656 ~ 7
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