for the following data, calculate the difference between the means distribution parameters. n1=25,n2=36,s1 to the nd power=50,s2 to the nd power=72, M1=100,M2=105
To calculate the difference between the means distribution parameters, we need to find the standard deviation (σ) of both distributions and the difference between their means (µ1 and µ2).
First, let's find the standard deviation (σ) for each distribution:
For distribution 1:
Sample size (n1) = 25
Sample variance (s1^2) = 50
Standard deviation (σ1) = √(s1^2) = √(50) ≈ 7.07
For distribution 2:
Sample size (n2) = 36
Sample variance (s2^2) = 72
Standard deviation (σ2) = √(s2^2) = √(72) ≈ 8.49
Next, let's find the difference between the means (µ1 and µ2):
Mean of distribution 1 (µ1) = 100
Mean of distribution 2 (µ2) = 105
Difference between means (µ2 - µ1) = 105 - 100 = 5
So, the difference between the means distribution parameters is 5, and the standard deviations of the two distributions are approximately 7.07 and 8.49 respectively.