Wiki Page, Math 13 - Perez Sandbox : Example calculation of T for a Difference in Two Population Means

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2026-01-17T21:15:00-08:00

Text description of the calculation of T

T equals x1-bar minus x2-bar minus the quantity mu1 minus mu 2, over the square root of the sum of s1 squared over n1 and s2 squared over n2.

When we use the values x1-bar equals 850, s1=252, n1 equal 45, x2-bar = 719, s2 = 322, and n2 = 27, we obtain T equals 850 minus 719 all over the square root of the sum of 252 squared over 45 plus 322 squared over 27. This is approximately equal to 131 over 72.47, which gives a T-value of approximately 1.81.