Question

Use the following values: n = 14, s_D = 1.20, and d = 0.87.

A) Find the P-value for the test

H₀: μ_D = 0

H₁: μ_D ≠ 0

B) Compute the lower limit of the 89% confidence interval on the difference between population means.

C) Compute the upper limit of the 89% confidence interval on the difference between population means.

Answer 1

Solution:

A) Find the P-value for the test

H0: μD = 0

H1: μD ≠ 0

Answer: To find the P value, we need to find the test statistic first:

Therefore,

Therefore, the P-value = 0.0179

B) Compute the lower limit of the 89% confidence interval on the difference between population means.

Answer: The lower limit of the 89% confidence interval on the difference between population means is:

Where:

is the critical value at 0.11 significance level for 13 degrees of freedom.

Therefore the lower limit is 0.32

C) Compute the upper limit of the 89% confidence interval on the difference between population means.

Answer: The upper limit of the 89% confidence interval on the difference between population means is:

Where:

is the critical value at 0.11 significance level for 13 degrees of freedom.

Therefore the upper limit is 1.42