Question

	You will perform a significance test of H0: μ = 19 based on an SRS of n = 25. Assume that σ = 13. Step 1: If x = 23, what is the test statistic z to 2 decimal places? Step 2: What is the P-value if Ha: μ > 19? Give your answer to 4 decimal places. Step 3: What is the P-value if Ha: μ ≠ 19? Give your answer to 4 decimal places.

Answer 1

STEP- 1

Assume Alpha = 0.05.

STEP - 2

Ho: μ = 19

H1: μ > 19

Using the P-value approach: The p-value at z = 1.54 is,

Right-tailed p-value: P(Z > z) = 0.0619.

STEP - 3

Ho: μ = 19

H1: μ ≠ 19

Using the P-value approach: The p-value at z = 1.54 is,

Two-tailed p-value: 2P(Z > |z|) = 0.1239.