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1 2 1 2 14 24 18 TO 1 . 17 10 16 a What is the independent variable? What is the dependent variable? What test did you use to


3) Ms. Phillips is a kindergarten teacher whose class is always high energy after lunchtime. Ms. Phillips has a theory that p

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Answer #1

a)

recess time

b)

Number of minutes taken for calm down

c)

Paired t test

d)

Ho :   µd=   0                  
Ha :   µd >   0                  
                          
Level of Significance ,    α =    0.01                  
                          
sample size ,    n =    10                  
                          
mean of sample 1,    x̅1=   18.900                  
                          
mean of sample 2,    x̅2=   8.600                  
                          
mean of difference ,    D̅ =ΣDi / n =   10.3000                  
                          
std dev of difference , Sd =    √ [ (Di-Dbar)²/(n-1) =    5.3759                  
                          
std error , SE = Sd / √n =    5.3759   / √   10   =   1.7000      
                          
t-statistic = (D̅ - µd)/SE = (   10.3   -   0   ) /    1.7000   =   6.059
                          
Degree of freedom, DF=   n - 1 =    9                  
t-critical value , t* =        2.8214   [excel function: =t.inv(α,df) ]               
                          
p-value =        0.0001   [excel function: =t.dist.rt(t-stat,df) ]               
Decision:   p-value <α , Reject null hypothesis                      

Significant

e)

p-value =        0.0001   [excel function: =t.dist.rt(t-stat,df) ]               
Decision:   p-value <α , Reject null hypothesis  

f)

There are sufficient evidence that longer the recess period, less time required to calm

Please let me know in case of any doubt.

Thanks in advance!


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