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 fall into the categories of 2-3 hours, 4-5 hours, and 6-7 hours.
Proportion of students in the sample doing chores for at least 2 hours = (64 + 3 + 1) / 100 = 68 / 100 = 0.68
Now, we can multiply this proportion by the total number of students in the school to find the expected number of students:
Expected number of students doing chores for at least 2 hours = 0.68 * 1,500 = 1,020
Therefore, based on the sample proportion, it is expected that 1,020 students in the school would do household chores for at least two hours every week.
So, the answer is 1,020.
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)
480
960
1,020
1,440
1 answer
1 answer