a.)
Here given critical value of z = 2.81
Now,
P(z > 2.81) = 1−P ( Z < 2.81 )=1−0.9975 = 0.0025
P(z < -2.81) = 1 - P(Z > -2.81) = 0.0025
Hence, P(-2.81 < Z < 2.81) = 0.005
Hence Confidence level = 1 - 0.005 = 0.995 = 99.5%
b.)
Here given critical value of z = 1.45
Now,
P(z > 1.45) = 1−P ( Z < 1.45 )=1−0.9265 = 0.0735
P(z < -1.45) = 1 - P(Z > -1.45) = 0.0735
Hence, P(-1.45 < Z < 1.45) = 0.147
Hence Confidence level = 1 - 0.147 = 0.853 = 85.3%
c.)
Here given confidence level = 99.7
Hence, = 1 - 0.997 = 0.003
For this level critical value is given as 2.97
d.)
Here confidence level = 78%
Hence, = 1 - 0.78 = 0.22
For this critical value = 1.23
Consider a normal population distribution with the value of o known. (a) What is the confidence...
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