Question 5 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The manager of a large grocery store wants to inspect an incoming shipment of oranges to determine the proportion of blemishes. One inspector, Mary, takes a random sample of 25 oranges, and another inspector, Pat, takes a random sample of 50 oranges. Which of the following statements about variability of the sample proportion is correct?
Answer
A
The variability of the proportion of blemishes for Mary’s sample will be less than the variability of Pat’s.
B
The variability of the proportion of blemishes for Mary’s sample will be greater than the variability of Pat’s.
C
The variability of the proportion of blemishes for Mary’s sample will be the same as the variability of Pat’s.
D
Since the two inspectors took two different samples, there is no way to compare the variability of the two samples.