SOLUTION: The weights of ripe watermelons grown at Mr. Smith’s farm are normally distributed with a mean of 20.26 pounds and a standard deviation of 2.8 pounds. If the bottom 3 % of waterm

Question 1147981: The weights of ripe watermelons grown at Mr. Smith’s farm are normally distributed with a mean of 20.26 pounds and a standard deviation of 2.8 pounds. If the bottom 3 % of watermelons are discarded, determine the weight a watermelon needs to have to not be discarded.

Thank you!
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Go to a z-table and find the z-score where the area to the left of the curve is closest to 0.03. The z-score that is the closest is -1.88.

Set up the equation as such:

x - 20.26 = -1.88(2.8)

x - 20.26 = -5.264

x = 14.996

The weight a watermelon needs to be not to be discarded is 14.996 lbs.
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