Question 14 • Probability and Statistics with Applications Honors Sem-1-FL-1210300 (2024-2025)
A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use a simple random sample to select them. Which of the following statements is true?
Answer
A
She needs to select the 10 biggest plants to test the new fertilizer.
B
She needs to select the 10 smallest plants to test the new fertilizer.
C
She needs to number each plant 1–60 and randomly select 10 plants.
D
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.
Explanation
A simple random sample gives each of the 60 plants an equal chance of being selected. She can number the plants from 1 to 60 and use a random method to choose 10 numbers. Selecting the biggest or smallest plants would introduce bias, while choosing one group of 10 would select a cluster rather than a simple random sample.
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