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!
Please upvote!
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