1. For a normal distribution, the z-score location that would separate the distr

Question

1. For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 20% in the tail on the left-hand side is ____. (Make sure that you take your answer to two decimal places.)

2. For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 10% in the tail on the right-hand side is ____. (Make sure that you take your answer to two decimal places.)

3.For a normal distribution, the z-score location that would separate the distribution into two sections so that there is 70% in the body on the right-hand side is ____. (Make sure that you take your answer to two decimal places.)

Explanation / Answer

1) Z score corresponding to the point that would separate the distribution to two sections so that there is 20% in the tail on the left hand side= -2.88

2) Z score location that would separate the distribution into two sections so that there is 10% in the tail on the right hand side is Z corresponding to P(Z) = 0.9

Z score = 1.28

3) Z score that would separate the distribution into two sections so that there is 70% in the body on the right hand side is Z value corresponding to 0.3 = -0.52

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