A one-sample t test of H₀: $\mu$ = 125 against H_a: $\mu$ 125 is carried out based on sample data from a Normal population.The SRS of size n = 15 produced a mean of = 132.8 and s = 12.6.What is the value of the appropriate test statistic? A)z = 2.40 B)t = 2.32 C)t = 2.40 D)z = 2.32 E)t = 1.76

Question

A one-sample t test of H₀: $\mu$ = 125 against H_a: $\mu$ > 125 is carried out based on sample data from a Normal population.The SRS of size n = 15 produced a mean of = 132.8 and s = 12.6.What is the value of the appropriate test statistic? A)z = 2.40 B)t = 2.32 C)t = 2.40 D)z = 2.32 E)t = 1.76

Quizplus · Accepted Answer

Since the population standard deviation is not known, we should use a t-test. The test statistic for a one-sample t test is calculated as: (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size)) = (132.8-125)/(12.6/sqrt(15)) ≈ 2.40. Therefore, the answer is choice C, t = 2.40.

A One-Sample T Test of H0 μ\muμ = 125 Against Ha μ\muμ

A One-Sample T Test of H₀ $\mu$ = 125 Against H_a $\mu$