The weights of bags of baby carrots are normally distributed, with a mean of 28 ounces and a standard deviation of 0.33 ounce. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?
Given that,
mean = = 28
standard deviation = = 0.33
Using standard normal table,
P(Z > z) =4.5 %
= 1 - P(Z < z) = 0. 045
= P(Z < z ) = 1 - 0.045
= P(Z < z ) = 0.955
= P(Z < 1.70 ) = 0.
z = 1.70
Using z-score formula
x = z +
x =1.70 *0.33+28
x = 28.561
x = 29
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