Question

The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.

How large is the sample?

a.200 cartons

b.the 50th carton

c.1000 cartons

d.cannot determine from this information

Answer 1

You just have to figure out how many cartons are examined per shipment and then you can just multiply by 10. For every 100 cartons, 2 are examined for damage. If we examine 1000 cartons (100 x 10 cartons) then we examine 20 cartons (2 x 10 cartons). Now, there are 10 shipments and since each shipment has 1000 cartons and we examine 20 cartons per shipment we simply multiply the number of cartons examined per shipment (20 cartons) by the number of shipments (10 cartons).

Answer 2

Option a is correct

200 cartons is the sample size

Explanation:

As per the statement:

For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.

First examine how many cartons are examined per shipment.

For every 50th cartons, 1 are examined

For every 100th cartons, 2 are examined

then;

For 1000 cartons , we have 20 are examined.

Examined per shipment = 20 cartons

We have to find how large is the sample.

Since, there are total 10 shipment

then;

For 10 shipment, we have

`20 * 10 = 200` cartons

Therefore, 200 cartons is the sample size