A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a difference in two population means? (i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement. (ii) She randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student has to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem. (iii) She gives each student a pretest. She then randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a post-test. The teacher compares the improvement in scores (post-test minus pretest) in the two groups. (iv) 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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Answer:

(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.

Step-by- Step

The situation is a case of matched or paired samples since the samples are dependent. The two measurements are drawn from the same pair of individuals The parameter that is tested using matched pairs is the population mean and this is what teacher intends to use a hypothesis test for.

The theory testing is to assess two commonly exclusive statements on populace information utilizing test information is called Hypothesis Testing. The correct statement is given by option (i).

The Hypothesis is nothing but a suspicion which we make by our perceptions.

So Statistics are all about information, the huge sum of information, which information is as it were valuable for us if we are able to analyze the information and at long last draw a few conclusion approximately the information and to discover out interpretation and conclusion about the information we fundamentally utilize Hypothesis testing.

So presently the theory testing is to assess two commonly exclusive statements on populace information utilizing test information is called Hypothesis Testing.

Therefore, the correct statement is given by option (i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterward, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.

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