SOLUTION: A high school math teacher wants to assess the effectiveness of a new teaching method
for improving students’ algebra skills. She selects a random sample of 8 students
from her
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for improving students’ algebra skills. She selects a random sample of 8 students
from her
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Question 1203947: A high school math teacher wants to assess the effectiveness of a new teaching method
for improving students’ algebra skills. She selects a random sample of 8 students
from her class and administers a pre-test to evaluate their algebra knowledge. After
introducing the new teaching method over the course of a semester, she administers a
post-test to the same students to measure any improvements in their algebra skills.
Student 1 2 3 4 5 6 7 8
Pre-Test Score 50 45 60 65 75 92 86 88
Post-Test Score 52 50 65 62 71 90 89 90
Construct a 95% confidence interval for the difference in means. Answer by Theo(13342) (Show Source):
the procedures is to find the differences for each pair.
then find the mean and the standard deviation of the distiribution of paired differnces.
then calculate the standard error = standard deviation divided by square root of sample size.
then do the t-test.
then check the test t-score against the critical t-score.
if it's greater, then the test results are significant and you conclude thre's a diference.
if not, then you conclude that there is no difference.
the results of this test indicate that the results are not significant because the test t-score was less than the critical t-score.
the conclusion is that the tests are not different and either test can be used.
here's a reference explaining how the paired t-test is done.
