Question 1186034: According to research, the mean cost of safety equipement per year for colleges in Canada is $29,000.00. Suppose that these costs are normally distributed with a standard deviation of $3,000.00. If a Canadian College is selected at random, find the following probabilities.
What amount of cost is the cut-off for the top 9.68% of Canadian Colleges?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! mean is 29,000.
standard deviation is 3000.
z-score where 9.68% of the safety costs are greater than it would be equal to 1.30.
use z-score formula to find the raw score.
z = (x - m) / s
z is the x-score.
x is the raw score.
m is the mean.
s is the standard deviation.
formula becomes 1.30 = (x - 29000) / 3000.
solve for x to get:
x = 1.30 * 3000 + 29000 = 32900.
9.68% of all the colleges in canada will have a cost of safety equipment higher than 32900.
i think that's what you're asking for.
if it's not, let me know and i'll reevaluate what the answer should be.
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