Question

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week:

Weekly Duration of Household Chores

Time (in hours) 0–1 2–3 4–5 6–7
Number of Students 32 64 3 1


There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?

A: 480
B: 960
C: 1,020
D: 1,440

PLS DONT ANSWER WITH A LINK! :) My answer ended of being 1,020 but I dont think its right pls help

Answer 1

1020 students

Explanation:

the key word is at least, this means anything under that number will not qualify. So that leaves 68 out of the 100 sample students. So if you want to have the same thing but with 1,500 students. Take off the 2 zeros at the end of 1500 and multiply by 68 getting your answer. This is because there is 2 zeros in 100, so to cancel out the 2 zeros in 100, just take out the 2 zeros in 1500 making it a lot easier.

Answer 2

The students in the school would be expected to do household chores for at least two hours every week with 1020 students.

We have given

Time (in hours) 0– 1 2–3 4–5 6–7

Number of Students 32 64 3 1

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

The keyword is at least, this means anything under that number will not qualify.

So that leaves 68 out of the 100 sample students.

So if you want to have the same thing but with 1,500 students.

Take off the 2 zeros at the end of 1500 and multiply by 68 getting your answer.

This is because there is 2 zeros in 100, so to cancel out the 2 zeros in 100, just take out the 2 zeros in 1500 making it a lot easier.