ts of Statistics lewis connolly& Quiz: Unit 7: Quiz Time Remaining: 01:35:07 Sub
ID: 2906901 • Letter: T
Question
ts of Statistics lewis connolly& Quiz: Unit 7: Quiz Time Remaining: 01:35:07 Submit Quia This Question: 2 pts This Quiz: 20 pts possibl m. First use the range rule of thumb to make a rough estimate of the standard deviation A student wants to estimate the mean score of all college students for a particular exa of those scores. Possible scores range from 500 to 2200. Use technology and the estimated standard deviation to determine the sample size confidence level and a margin of error of 100 points. What isn't quite right with this exercise? corresponding to a 95% The range rule of thumb estimate for the standard deviation is (Type an integer or a fraction.) A confidence level of 95% requires a minimum sample size of (Round up to the nearest integer.) What isn't quite right with this exercise? OA. A marain of error of 100 points seems too high to provide a good estimate of the mean score /22/2018Explanation / Answer
Solution :
Given that margin of error E = 100 , possible scores range from 500 to 2200
=> The range rule of thumb estimate for the standard deviation is 425.
=> ? = range ÷ 4
= (2200 – 500) ÷ 4
= 425
=> A confidence level of 95?% requires a minimum sample size of 69
=> For 95% confidence interval , Z = 1.96
=> Sample size n = [ (z * ?) ÷ E ]^2
= [ (1.96 × 425) ÷ 100 ]^2
= 69.3889
= 69 (nearest integer)
=> A margin of error of 100 points seems too high to provide a good estimate of the mean score.
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