The past output of a machine indicates that each unit it produces will be
top grade
|
with probability
|
.40
|
high grade
|
with probability
|
.30
|
medium grade
|
with probability
|
.20
|
low grade
|
with probability
|
.10
|
A new machine, designed to perform the same job, has produced 500 units with the following results.
top grade
|
234
|
high grade
|
117
|
medium grade
|
81
|
low grade
|
68
|
Can the difference in output be ascribed solely to chance?