SOLUTION: If someone can help me with this i would appreciate it..... Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

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Question 1114623: If someone can help me with this i would appreciate it.....
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
.09834...I got z=.8365
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if you are talking about the z-score that has a probability of .09834 to the left of it, then the z-score would be -1.291068287.

if you are talking about the z-score that has a probability of.09834 to the right of it, then the z-score would be 1.291068287.

if you are talking about a z-score of .09834, then the probability of getting z-score less than that would be .539168902 and the probability of getting a z-score greater than that would be 1 - .539168902 = .460831098

a z-score of .8365 would indicate that the probability of getting a z-score less than that would be .798563217 and the probability of getting a z-score greater than that would be 1 - .798563217 = .201436783.

use of tables are ok, but calculators are much easier to work with as long as you know what you are doing.

one online calculator that i found very useful can be found at http://davidmlane.com/hyperstat/z_table.html

this calculator is easy to use and give you a picture of what's happening under the normal distribution curve.

using this calculator, i derived the following.

probability of .09834 to the left of the z-score yields a z-score of -1.29... as shown below.

$$$

probability of .09834 to the right of the z-score yields a z-score of 1.29... as shown below.

$$$

note that probability of .09834 to the left of a z-score is the same as probability of 1 - .09834 to the right of the z-score, and probability of .09834 to the right of the z-score is the same as probability of 1 - .09834 to the left of the z-score.

this is because the normal probability distribution curve is symmetric about the mean.

i'm not exactly sure how you got a z-score of .8365.

if you can explain to me what you were trying to do in more detail, i might be able to determine if you did it correctly or not.

as it stands, my understanding of the problem indicates that you did not get the right answer.