Question

When considering area under the standard normal curve, decide whether the area between z=-1.5 and z= -1 is bigger than, smaller than, or equal to the area between z=2 and z= 2.5

Answer 1

This is a normal distribution question with


P(-1.5 < z < -1.0) = P(z < z2) - P(z < z1)
P(-1.5 < z < -1.0) = 0.15865525393145707 - 0.15865525393145707
P(-1.5 < z < -1.0) = 0.0918

P(2.0 < z < 2.5) = P(z < z2) - P(z < z1)
P(2.0 < z < 2.5) = 0.9937903346742238 - 0.9937903346742238
P(2.0 < z < 2.5) = 0.0165

We can conclude from above values that area between z = -1.5 and z = -1 is bigger than the area between z=2 and z= 2.5
PS: you have to refer z score table to find the final probabilities.
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