Math Problem Statement
pre-test: 51,59,92,87,78,44,92,68,76,76 post-test: 60,59,50,67,62,56,64,56,56,55
Can we say that the review section significantly harms test performance with a significance level of = 0.002. Assume a Normal distribution. For this study, we should use
The null and alternative hypotheses would be: : :
The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is
Based on this, we should the null hypothesis.
As such, the final conclusion is that ... There is not sufficient evidence to conclude that the review section significantly harms test performance with a significance level of = 0.002 There is sufficient evidence to conclude that the review section significantly harms test performance with a significance level of = 0.002
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Paired t-test
Statistical Hypothesis Testing
Normal Distribution
p-value
Formulas
Mean difference (d̄) = Σ(differences) / n
Standard deviation (s_d) = sqrt(Σ(difference - d̄)^2 / (n-1))
t-statistic = d̄ / (s_d / sqrt(n))
Theorems
Central Limit Theorem
t-distribution
Suitable Grade Level
University/College level, Statistics
Related Recommendation
Paired T-Test for New Online Learning Module Impact on Placement Scores
Paired t-Test for Pre-Test and Post-Test Scores with Hypothesis Testing
Hypothesis Testing: Comparing Means of StudyFocus and Prepara Users
Paired Sample t-Test: Testing the Effect of a New Learning Module on Placement Scores
Paired t-Test Analysis from Phase I to Phase IV