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 total number of pets in the town, we start by calculating the estimated number of pets per household using the average and the margin of error.
1. Average number of pets per household: 2.8
2. Margin of error: ± 0.9
This means the estimated average number of pets per household could be between:
– Lower estimate: 2.8 – 0.9 = 1.9
– Upper estimate: 2.8 + 0.9 = 3.7
Now, we will multiply these figures by the total number of households in the town (2500):
– Lower estimate of total pets: 1.9 pets/household * 2500 households = 4750 pets
– Upper estimate of total pets: 3.7 pets/household * 2500 households = 9250 pets
Thus, the estimated number of pets in the town is between 4750 and 9250 pets.