Question

a random survey asked two samples of 100 high school students how much time they spend on homework each night. which inference is true? more students spend 0 - 30 minutes on homework than spend 31 - 60 minutes. more students spend 31 - 60 minutes on homework than spend 0 - 30 minutes. about the same number of students spend 0 - 30 minutes on homework as spend 31 - 60 minutes. more students spend 61 - 90 minutes on homework than spend 0 - 30 minutes.

	0 - 30 min	31 - 60 min	61 - 90 min
sample 2	41	36	23

Explanation:

Step1: Compare 0 - 30 min and 31 - 60 min values in both samples

In Sample 1, 38 students spend 0 - 30 min and 42 spend 31 - 60 min. In Sample 2, 41 students spend 0 - 30 min and 36 spend 31 - 60 min.

Step2: Calculate total for each time - range

Total students spending 0 - 30 min: \(38 + 41=79\). Total students spending 31 - 60 min: \(42+36 = 78\).

Step3: Analyze other options

For the 61 - 90 min range, total students are \(20 + 23=43\), which is less than the number of students in the 0 - 30 min range.

Answer:

More students spend 0 - 30 minutes on homework than spend 31 - 60 minutes.