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November 4th, 2015, 10:39 PM  #1 
Newbie Joined: Nov 2015 From: NZ Posts: 1 Thanks: 0  Can't seem to find z score or sd please help :(
Hey guys i have the following question which i am really stuck on and i cant seem to find a way to find the z score or the standard deviation. frankly, im not really sure how to approach the question. Help would be greatly appreciated thanks in advance 
November 5th, 2015, 04:38 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
You are told that C can be "modeled by a normal distribution, with mean 1496" but are not told the standard deviation. You are told that "Player C is expected to burn more than 1500 calories in 28% of training games". That is 1500 1496= 4 calories above the mean. Look up the z score such that z> 4 has probability 0.28 (that is the same as "z< 4 has probability 1 .28= 0.72") in a table of the standard normal distribution. Since the standard normal distribution has standard deviation 1, the standard deviation for this statistic is give by $\displaystyle \frac{4}{\sigma}= z$ or $\displaystyle \sigma= \frac{4}{z}$.


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