Question

Hens usually begin laying eggs when they are about 6 months old. Young hens tend to lay smaller​ eggs, often weighing less than the desired minimum weight of

54 grams. Complete parts​ a) through​ c) below.

A)The average weight of the eggs produced by the young hens is 49.2 ​grams, and only 25​% of their eggs exceed the desired minimum weight. If a Normal model is​ appropriate, what would the standard deviation of the egg weights​ be?

Answer 1

Answer)

As the data is normally distributed we can use standard normal z table to estimate the answers

Z = (x-mean)/s.d

Given mean = 49.2

We need to find s.d

From z table, P(z>0.67) = 25%

0.67 = (54 - 49.2)/s.d

S.d = 7.16417910447