Find a value of the standard normal random variable Z, Call it Z0, such that
a. P(Z ≤ Z0) = .0401
b. P(- Z0 ≤ Z ≤ Z0) = .95
c. P(- Z0 ≤ Z ≤ Z0) = .90
d. P(- Z0 ≤ Z ≤ 0) = .2967

The 0 is subzero, don't know why the site couldn't show it.

Question

Find a value of the standard normal random variable Z, Call it Z0, such that 
a. P(Z ≤ Z0) = .0401
b. P(- Z0 ≤ Z ≤ Z0) = .95
c. P(- Z0 ≤ Z ≤ Z0) = .90
d. P(- Z0 ≤ Z ≤ 0) = .2967

The 0 is subzero, don't know why the site couldn't show it.

anonymous · Answer

I'm struggling with understanding what this problem is asking me to do. Does this have to do with hypothesis testing?

agent0smith · Answer

You just need to find the value of Z0 that gives those probabilities.

anonymous · Answer

Thanks for the response. Do you know what method I would use to do so?

agent0smith · Answer

I think you can use the table of z scores to find that probability, then get the z score from that which matches the probability. There's also interactive z tables online.

agent0smith · Answer

Just work backwards from a table. Normally you use the z score to find the probability, this time you're given the probability.

anonymous · Answer

Oh, gotcha. I think I know how to do it now. Thanks!