A veterinarian surveys households in her area to find out how many pets they own. She estimates that households have 1.8 pets on average, with a margin of error of ±0.4 pets. There are 1,200 households in her area.

Which statement is true?

The average number of pets per household in the area is exactly 2 pets because you cannot have 0.8 pets.

The average number of pets per household is likely between 1.4 and 2.4 pets.

The total number of pets in the area is likely between 1,680 and 2,640 pets.

The total number of pets in the area is exactly 2,160 pets.

1 answer

The average number of pets per household is likely between 1.4 and 2.4 pets, based on the estimated average of 1.8 pets with a margin of error of ±0.4 pets. This means that the true average could fall within this range. The other statements are not necessarily true because they do not take into account the margin of error in the estimate.