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

A)

T test statistic for paired t test

=2.713

P value =0.0177.........................by using Excel command TDIST(2.713,13,2)

Sample size = n = 14

Degree of freedom = n - 1 = 14- 1 = 13

t critical value is = 1.7154........................by using t table or by using Excel command =TINV(0.11,13)

Confidence interval formula for paired t test.

=>(0.3198,1.4202)

B) The lower limit of the 89% confidence interval on the difference between population means = 0.3198

C) The upper limit of the 89% confidence interval on the difference between population means =1.4202