Question

(a) Find ? such that the proportion of observations that are less than ? in a...

(a) Find ? such that the proportion of observations that are less than ? in a standard normal distribution is 0.36. (Enter your answer rounded to two decimal places.)

(b) Find ? such that 36% of all observations from a standard normal distribution are greater than ?. (Enter your answer rounded to two decimal places.)

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Answer #1

According to the given question, (a) To find theZsuch that the proportion ofobservations that are less thanZ ina standard nor0.36 -3 -2 0.36

In excel it is determined as:

Font た! =(NORMINV(036,0,1)) 0.3584588

greater than z is z = 0.36 which is determined as: P( >)0.36 1- P0.36 P 0.64 that are less than Z in a standard normal distr

0.36 -3 -2 -1 2*0.36

In excel it is determined as:

Font (NORMINV (0.64,0,1)) 0.35845879

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