Question

Find zz such that the proportion of observations that are less than zz in a standard normal distribution is 0.34.. (Enter your answer rounded to two decimal places.)

Find zz such that 34%34% of all observations from a standard normal distribution are greater than z.z. (Enter your answer rounded to two decimal places.)

Answer 1

From z score table

1)

P(x<z) = 0.34

This implies that

P(Z < -0.41246312944140473) = 0.34

With the help of formula for z, we can say that

Z = -0.4125

2)

P(x>z) = 0.34

P(x<z) = 1-0.34 = 0.66

P(Z < 0.41246312944140495) = 0.66

With the help of formula for z, we can say that

Z = 0.4125

PS: you have to refer z score table to find the final probabilities.

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