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t-Test: Two-Sample Assuming Equal Variances Table 1. t-Test Results of Mean Scores for Math and Reading Exam Math Scores Reading Scores Mean 414.19 406.405 Variance
t-Test: Two-Sample Assuming Equal Variances | ||
Table 1. t-Test Results of Mean Scores for Math and Reading Exam | ||
Math Scores | Reading Scores | |
Mean | 414.19 | 406.405 |
Variance | 2755.963719 | 3480.714548 |
Observations | 200 | 200 |
Pooled Variance | 3118.339133 | |
Hypothesized Mean Difference | 0 | |
df | 398 | |
t Stat | 1.394109686 | |
P(T<=t) two-tail | 0.164062279 | |
t Critical two-tail | 1.965942324 |
Your client is interested in knowing if there is a significant difference between the mean score in math and the mean score in reading. They have no expectation that there is a difference, and if there is a difference, they have no idea which would be larger.
I performed desired hypothesis test (assuming equal variance and not "pairing" the observations) for your client. Can you help me explain the result?
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