A sample of 100 households in a town reports that the average number of pets per household is 2.8 with a margin of error of ± 0.9. If there are 2500 households in the town, what is the estimated number of pets in the town?
between _____ and _____
A sample of 100 households in a town reports that the average number of pets per household is 2.8 with a margin of error of ± 0.9. If there are 2500 households in the town, what is the estimated number of pets in the town? between _____ and _____.
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To estimate the number of pets in the town, we first use the average number of pets per household and apply the margin of error.
1. Average number of pets per household: 2.8
2. Margin of error: ± 0.9
This means the average number of pets can range from:
– Lower bound: 2.8 – 0.9 = 1.9
– Upper bound: 2.8 + 0.9 = 3.7
Next, we multiply the number of households in the town by the lower and upper bounds:
– Lower estimate: 1.9 pets/household * 2500 households = 4,750 pets
– Upper estimate: 3.7 pets/household * 2500 households = 9,250 pets
Thus, the estimated number of pets in the town is between 4,750 and 9,250.