Question

a sample of nonconforming cans is selected and each can is categorized according to the reason for nonconformity and which production line produced each can. the contingency table for the reason for nonconformance and production line is shown below.
production line|count|blemish|crack|location|missing|other|total
1|34|65|17|21|13|150
2|23|52|25|19|6|125
3|32|28|16|14|10|100
total|89|145|58|54|29|375
which of the following is the marginal distribution for
eason for nonconformity\?
blemish = 29/375, crack = 54/375, location = 58/375, missing = 145/375, other = 89/375
blemish = 32/375, crack = 28/375, location = 16/375, missing = 14/375, other = 10/375
blemish = 89/375, crack = 145/375, location = 58/375, missing = 54/375, other = 29/375
blemish = 34/375, crack = 65/375, location = 17/375, missing = 21/375, other = 13/375

Explanation:

Step1: Find column totals for non - conformity reasons

The column totals for Blemish, Crack, Location, Missing, Other are 89, 145, 58, 54, 29 respectively.

Step2: Divide by grand total

The grand total is 375. So the marginal distribution for reasons of non - conformity are Blemish = 89/375, Crack = 145/375, Location = 58/375, Missing = 54/375, Other = 29/375.

Answer:

Blemish = 89/375, Crack = 145/375, Location = 58/375, Missing = 54/375, Other = 29/375