Question

A teacher wants to see if a new unit on fractions is helping students learn. She has five randomly selected students take a pre-test and a post test on the material. The scores are out of 20. Has there been improvement? (pre-post) What is the point estimate of the population mean difference between the pre and post test?

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is

Step-by-step explanation:

From the question we told that

    The test statistics is  $t = 0.72$

     The number of student is n = 5

      The degree of freedom can be mathematically evaluated as

             $D = n- 1$

=>         $D = 5- 1 = 4$

The p-value is mathematically evaluated as

        $p-value = p(T \le - |-0.72|)$

using the z table(shown in second and third image ) we obtain that

        $p-value = 0.2557$