The article “Computer Assisted Net Weight Control” (Quality Progress, 1983: 22–2

Question

The article “Computer Assisted Net Weight Control” (Quality Progress, 1983: 22–25) suggests a normal distribution with mean 137.2 oz and standard deviation 1.6 oz
for the actual contents of jars of a certain type. The stated contents was 135 oz.

It is realized that there is an error associated with the jar contents distribution. It is actually not the normal distribution but the lognormal distribution with = 4.75, = 0.6. What is the probability that the contents of jars are between 130 and 155 oz?

Explanation / Answer

from Lognormal distribution:

probability that the contents of jars are between 130 and 155 oz =P((ln(130)-4.75)/0.6<Z<(ln(155)-4.75)/0.6)

=P(0.1959<Z<0.4890)=0.6876-0.5777 =0.1099

please revert for any explanation required,

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