Question

the one sample t statistic from a sample of n=42 observations for two sided test of for testing:
h0:µ = 81
h1:µ ≠ 81
has the value Z = 1.12. what is the P value of this test statistic?

Answer 1

Answer on Question#37873 – Math – Statistic and Probability

Question.

The one sample t statistic from a sample of $n=42$ observations for two sided test of for testing:

$$h_0: \mu = 81$$ $$h_1: \mu \neq 81$$

has the value $Z = 1.12$. what is the P value of this test statistic?

Solution.

The p-value $= P(Z > |z|) = P(Z < -1.12) - P(Z > 1.12) = 2 * P(Z < -1.12) = 0.2627$

Formula used: $P(Z \leq z) = \int_{-\infty}^{z} \frac{1}{\sqrt{2\pi}} e^{-\frac{b^2}{2}} du$.