Answer
a.
α = 0.05, n = 12, df = 12-1=11
To find χ2 right ,
α/2=0.025
From the table,
χ2 right = 21.920
To find χ2 left,
1-0.025=0.975
From the table,
χ2 left = 3.816
b.
α = 0.10, n = 20, df = 20-1=19
To find χ2 right ,
α/2=0.05
From the table,
χ2 right = 30.114
To find χ2 left,
1-0.05=0.95
From the table,
χ2 left = 10.117
c.
α = 0.05, n = 27, df = 27-1=26
To find χ2 right ,
α/2=0.025
From the table,
χ2 right = 21.920
To find χ2 left,
1-0.025=0.975
From the table,
χ2 left = 3.816
d.
α = 0.01, n = 6,df = 6-1=5
To find χ2 right ,
α/2=0.005
From the table,
χ2 right = 16.750
To find χ2 left,
1-0.005=0.995
From the table,
χ2 left = 0.412
e.
α = 0.10, n = 41, df = 41-1=40
To find χ2 right ,
α/2=0.05
From the table,
χ2 right = 55.758
To find χ2 left,
1-0.05=0.95
From the table,
χ2 left =26.509
