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A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs? The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups. The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement. The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.

Question

A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs? The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups. The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement. The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.

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Solution

The teacher could use a hypothesis test for matched pairs in the second situation. In this scenario, each student serves as their own control, with their pretest score being matched with their post-test score. This allows the teacher to directly compare the effect of the computer-based instruction on each individual student's performance. The difference in scores before and after the computer-based instruction can be analyzed to see if there is a significant improvement. This is a typical use of a matched pairs hypothesis test, as it involves comparing two related or paired samples.

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Which of the following is the appropriate kind of data to use a paired t-test?Question 1Answera.Pairs of people chosen at random to work with each other on a puzzleb.Two groups of people, one assinged to read a persuasive message, the other assigned to watch a videoc.Pairs of people working on a task, one of whom is the teacher and one is the learnerd.A comparison between people's height in inches and people's weight in pounds

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