Sufficient Statistics Sufficient Statistics SolutionAs per t

Sufficient Statistics

Solution

As per the chegg Q&A guidelines we need to solve four subparts if multiple are there. Hence I am solving for parts (d) to (f) .

Case : Rest
Null Hypothesis : Average1 = Average2
t = (X1-X2)/sqrt((SD1)^2/n1 + (SD2)^2/n2)
= (14.5-11.1)/sqrt((3.92)^2/10 + (3.98)^2/10)
=1.92

alpha =0.05
dF =10+10-2 =18
This is a two tiled test,
Therefore, P-value = 0.070848
Since P >0.05
Failed to reject null hypothesis.
Insufficient evidence.

Case : Maximal O2
Null Hypothesis : Average1 = Average2
t = (12.2-11.5)/sqrt((3.49)^2/10 + (4.95)^2/10)
=0.37

alpha =0.05
dF =10+10-2 =18
This is a two tiled test,
Therefore, P-value = 0.7157
Since P >0.05
Failed to reject null hypothesis.
Insufficient evidence.

d)
Insufficient evidence. Refer Case : Rest
e)
For Rest : P-value = 0.07 . Refer Case : Rest
f)
Insufficient evidence. Refer Case : Maximal O2
g)
For Rest : P-value = 0.7157 . Refer Case : Maximal O2