Question

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 5% are too heavy and must be repackaged. What is the most that a bag can weigh and not need to be repackaged?
A. 13.88 ouncesB. 12.18 ouncesC. 10.28 ouncesD. 12.03 ounces.

Answer 1

Answer: A bag can weigh 13.77 ounces and not need to be repacked.

Step-by-step explanation:

Since we have given that

Mean = 12.08 ounces

Standard deviation = 1.03 ounces

Bags in the upper 5% are too heavy and must be repackaged.

Using the standard normal table.

z = 1.645

So, $X=\mu+z\sigma\\\\X=12.08+1.645\times 1.03\\\\X=13.77\ ounces$

Hence, A bag can weigh 13.77 ounces and not need to be repacked.