Question

An aquarium at a pet store contains 20% catfish. A sample contains 8 guppies, 6 neon tetras, and 4 catfish. What is pˆ, the sample proportion of catfish?

Answer 1

The sample proportion of catfish (âµ) is calculated by dividing the number of catfish in the sample by the total number of fish in the sample. In this case, the proportion is 4 catfish out of 18 total fish, which equals approximately 0.2222.

Step-by-step explanation:

The sample proportion of catfish, denoted as âµ, is calculated by dividing the number of catfish in the sample by the total number of fish in the sample. To find the sample proportion of catfish among a sample that includes 8 guppies, 6 neon tetras, and 4 catfish, we add the numbers of each type of fish to get the total: 8 guppies + 6 neon tetras + 4 catfish = 18 total fish.

The number of catfish in the sample is 4, so we divide 4 by the total number of fish (18) to get the sample proportion of catfish: 4/18 = 0.2222 (rounded to four decimal places).