Question

a supermarket manager suspects that some of the eggs in a shipment of 600 eggs are cracked. she gathers a random sample of 24 eggs and marks the cracked eggs with an x, as shown. based on the sample, which is the best estimate of the total number of cracked eggs in the shipment? 50 125 150 250

Explanation:

Step1: Count cracked eggs in sample

From the image, there are 6 cracked eggs in the sample of 24 eggs.

Step2: Calculate proportion of cracked eggs in sample

The proportion \( p=\frac{6}{24}=\frac{1}{4} \)

Step3: Estimate total cracked eggs in shipment

Multiply the proportion by the total number of eggs in shipment. Let \( N = 600 \). The estimate \( E=p\times N=\frac{1}{4}\times600 = 150\)

Answer:

150