statistic for the please help me solve this as soon as possi

statistic for the

please help me solve this as soon as possible. .
thanks

Solution

a)

Independent: The method of training, whether covert desensitization or virtual reality [2 levels]

Dependent variable: The change in the number of steps they would climb on a tall ladder.

b)

Getting the mean, X, covert desensitization:
      
X = Sum(x) / n      
Sum(x) =    6  
      
Thus,      
X =    1 [answer, mean, covert desensitization]  

Getting the mean, X, for virtual reality,  
          
X = Sum(x) / n          
Sum(x) =    30      
          
Thus,          
X =    5   [answer, mean, virtual reality]

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c)
      
Setting up tables, for covert desensitization,

x   x - X   (x - X)^2
3   2   4
1   0   0
-1   -2   4
0   -1   1
3   2   4
0   -1   1
      
      
Thus, Sum(x - X)^2 =    14  
      
Thus, as       
      
s^2 = Sum(x - X)^2 / (n - 1)      
      
As n =    6  
      
s^2 =    2.8   [variance, covert desensitization]
      
Thus,      
      
s =    1.673320053   [standard deviation, covert desensitization]

          
Setting up tables, for virtual reality,          

x   x - X   (x - X)^2  
4   -1   1  
6   1   1  
5   0   0  
2   -3   9  
7   2   4  
6   1   1  
          
                      
Thus, Sum(x - X)^2 =    16      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    6      
          
s^2 =    3.2   [variance, virtual reality]
          
Thus,          
          
s =    1.788854382   [standard deviation, virtual reality]

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d)

The virtual reality showed a greater mean number of steps increased, while the two sample almost having the same variance. It seems from this data that the difference between the improvements is significantly higher in virtual reality. [answer]