Question 1114623
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 <a href = "http://davidmlane.com/hyperstat/z_table.html" target = "_blank">http://davidmlane.com/hyperstat/z_table.html</a>


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.


<img src = "http://theo.x10hosting.com/2018/041304.jpg" alt="$$$" >


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


<img src = "http://theo.x10hosting.com/2018/041305.jpg" alt="$$$" >


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.