A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with a mean of 1

Question

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.

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Isabella 1 week 2021-09-15T17:36:23+00:00 1 Answer 0

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    2021-09-15T17:37:53+00:00

    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%.

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