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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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