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Answer:
Step-by-step explanation:
Hello!
This is an example of a pared sample test, the experiment is based on two dependent variables:
X₁: centimeters on a pain scale before hypnosis
X₂: centimeters on a pain scale after hypnosis
Out of these two variables a new variable is determined Xd= X₁-X₂
If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.
The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0
The statistic for this test is a paired sample t test:
To calculate the sample mean and variance you have to calculate the difference between the pairs first.
= ∑Dif/n
∑Dif= 6.4
∑Dif²= 12.64
= 6.4/5= 1.28
Sd= 1.05
I hope this helps!
