Question

There are 150,000 households in Market City. A local phone repair shop takes a random sample of 50 households and finds that the average number of phones per household from the sample last year that needed to be repaired was 1.05 ± 0.23. Which of the following is an estimate of the total number of phones that needed repairing last year in Market City?

Answer 1

To estimate the total number of phones that needed repairing last year in Market City, we can multiply the average number of phones per household by the total number of households in Market City.

Step-by-step explanation:

To estimate the total number of phones that needed repairing last year in Market City, we can use the concept of sampling and extrapolation.

The shop took a random sample of 50 households and found that the average number of phones per household that needed repairing was 1.05 ± 0.23.

To estimate the total number of phones, we will multiply the average number of phones per household by the total number of households in Market City.

Estimated total number of phones needing repair = (Average number of phones per household) × (Total number of households)

Estimated total number of phones needing repair = 1.05 × 150,000 = 157,500