A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Question

3 years ago

13

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall above10.95 ounces.

Mathematics

1 answer:

vovikov84 [41] · Answer 1 · 2022-08-30T12:03:43+03:00

vovikov84 [41]3 years ago

4 0

Answer:

6.68 %.

Step-by-step explanation:

The standardised z-score = ( 10.95 - 10.5) / 0.3

= 1.5.

Looking up the Normal Distribution tables ( area to the left) 1.5 corresponds to 0.93319 so for a weight above 10.95 the proportion is

1 - 0.93319 = 0.06681

= 6.68%.