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Homework answers / question archive / DeVry University, ChicagoSTATISTICS Math 221 The weights of bags of peas are normally distributed with a mean of 12
DeVry University, ChicagoSTATISTICS Math 221
The weights of bags of peas are normally distributed with a mean of 12.08 ounces and a standard deviation of 1.03 ounces. Bags in the upper 4% are too heavy and must be repackaged. What is the most that bag and weigh and not need to be repackaged?
12.18 ounces
13.88 ounces
10.28 ounces
12.03 ounces
Answer:
13.88 ounces
Correct option is B
Step-by-step explanation
mean of 12.08 ounces and a standard deviation of 1.03 ounces
z value of upper 4% = z value of below 96% = 1.751 [using normal table or excel function INVNORM(0.96)]
most that bag weigh = mean +z value *standard deviation
= 12.08 + 1.751 * 1.03
=13.88
