Question
You Try! A school district wants to estimate the total annual spending on school supplies by families in the district. They survey a random sample of 150 families and find that the average annual spending on school supplies in the sample is $620, with a standard deviation of $75.
Estimate the total annual spending on school supplies for the entire district, assuming there are 12,000 families.
Estimate the total annual spending on school supplies for the entire district, assuming there are 12,000 families.
Answers
GPT-4o mini
To estimate the total annual spending on school supplies for the entire school district, we can use the average spending per family from the sample and multiply it by the total number of families in the district.
1. **Calculate the average spending per family:**
- Given average spending in the sample: $620
2. **Determine the total number of families in the district:**
- Total families = 12,000
3. **Estimate the total annual spending for the entire district:**
\[
\text{Total annual spending} = \text{Average spending per family} \times \text{Total number of families}
\]
\[
= 620 \times 12,000
\]
\[
= 7,440,000
\]
Thus, the estimated total annual spending on school supplies for all families in the district is **$7,440,000**.
1. **Calculate the average spending per family:**
- Given average spending in the sample: $620
2. **Determine the total number of families in the district:**
- Total families = 12,000
3. **Estimate the total annual spending for the entire district:**
\[
\text{Total annual spending} = \text{Average spending per family} \times \text{Total number of families}
\]
\[
= 620 \times 12,000
\]
\[
= 7,440,000
\]
Thus, the estimated total annual spending on school supplies for all families in the district is **$7,440,000**.