Suppose at a juice manufacturing plant that the volume of juice dispensed into 220 mL
containers is normally distributed with a mean of 220.01 mL with a standard distribution of 0.03 mL . Explain whether 95% of all containers dispensed at the plant have a volume between 219.98 mL and 220.04 mL .
A) No, because 95%
of the volume of containers dispensed at the plant are all values less than one standard deviation above the mean. So, 95%
of all containers dispensed at the plant have a volume that is less than 220.04 mL.
B) No, because 95%
of the volume of containers dispensed at the plant are within two standard deviations of the mean. So, 95%
of all containers dispensed at the plant have a volume between 219.95 mL and 220.07 mL.
C) No, because 95%
of the volume of containers dispensed at the plant are within three standard deviations of the mean. So, 95%
of all containers dispensed at the plant have a volume between 219.92 mL and 220.10 mL.
D) Yes, because 95%
of the volume of containers dispensed at the plant are within one standard deviation of the mean.