A population mean is μ = 85. A one-sample t test is conducted with n = 25 subjects. The test resulted with a sample mean of M = 81 and s_M = 1.46. What is t_obt? A) +1.87 B) -1.87 C) +2.74 D) -2.74

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Quizplus · Accepted Answer

The formula for calculating t_obt is: t_obt = (M - μ) / (s_M/√n) Substituting the given values, we get: t_obt = (81 - 85) / (1.46/√25) t_obt = -4 / 0.292 t_obt = -13.7 The critical value of t for a one-tailed test with 24 degrees of freedom at α = 0.05 is -1.711. Since the calculated t-value (-13.7) is smaller than the critical t-value (-1.711), we reject the null hypothesis. Therefore, the answer is D) -2.74.

A Population Mean Is μ = 85