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?

Complete Question

The complete question is shown on the first uploaded image

The correct option is

Step-by-step explanation:

From the question we told that

    The test statistics is  

     The number of student is n = 5

      The degree of freedom can be mathematically evaluated as

=>        

The p-value is mathematically evaluated as

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

5y

step-by-step explanation: