Module 8 Lesson 1: Samples and Inferences
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?
(1 point)
Group of answer choices
480
960
1,020
1,440
To find the expected number of students in the school who would do household chores for at least two hours every week, we need to calculate the proportion of students in the sample who do household chores for at least two hours.
From the sample, the number of students who do household chores for at least two hours is 64 + 3 + 1 = 68. This is out of a total sample size of 100.
So, the proportion of students in the sample who do household chores for at least two hours is 68/100 = 0.68.
To find how many students in the school would be expected to do household chores for at least two hours every week, we multiply this proportion by the total number of students in the school:
0.68 * 1,500 = 1,020
Therefore, based on the sample proportion, 1,020 students in the school would be expected to do household chores for at least two hours every week.
Therefore, the answer is:
1,020