Question

While teaching a unit on fractions, a fifth-grade teacher does a pre-test at the beginning of...

While teaching a unit on fractions, a fifth-grade teacher does a pre-test at the beginning of the unit and a post test and the end of the unit. She found the difference of each student's scores (post-test - pre-test) and then finds the mean. There are 21 students in her class. The mean of the differences is 7 points, with a standard deviation of 3 points. The teacher wants to know if the post-test scores are different than the pre-test scores with a significance of 0.05.

What is the null and alternative hypothesis?

Select one:

a. H0: μμdiff = 0; HA: μμdiff ≠≠ 0

b. H0: μμdiff = 0; HA: μμdiff > 0

c. H0: μμdiff = 0; HA: μμdiff < 0

d. All are correct

What is the T score?

Select one:

a. 10.69

b. 0.509

c. 18.52

d. 0.333

What is the decision?

Select one:

a. Reject the null hypothesis

b. Fail to reject the null hypothesis

What is the conclusion?

Select one:

a. There is sufficient evidence at the 0.05 level of significance to show that students score differently between pre-test and post-test

b. There is not sufficient evidence at the 0.05 level of significance to show that students score differently between pre-test and post-test

c. There is sufficient evidence at the 0.05 level of significance to show that students score higher between pre-test and post-test

d. There is sufficient evidence at the 0.05 level of significance to show that students score lower between pre-test and post-test

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