Question

Calculate the observed value of the t statistic for testing the difference between the two population means using paired data.

	Pairs
Population	1	2	3	4	5
1	1.3	1.6	1.1	1.4	1.7
2	1.2	1.4	1.1	1.2	1.8

State the test statistic. (Round your answer to three decimal places.)

t =

Find the rejection region with α = 0.05. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

t >

t <

Construct a 95% confidence interval for (μ₁ − μ₂).

? to ?

Answer 1

from above:

test statistic t =1.372

rejection region :

t >2.776

r< -2.776

b)

for 95% CI; and 4 degree of freedom, value of t=			2.776
therefore confidence interval=sample mean -/+ t*std error
margin of errror          =t*std error=		0.162
lower confidence limit                     =		-0.0819
upper confidence limit                    =		0.2419
from above 95% confidence interval for population mean =(-0.082 to 0.242)