SOLUTION: he pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 265 days and a standard deviation of 11 days. (a) What is t

Algebra ->  Probability-and-statistics -> SOLUTION: he pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 265 days and a standard deviation of 11 days. (a) What is t      Log On


   



Question 1205118: he pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 265 days and a standard deviation of 11 days.
(a) What is the minimum pregnancy length that can be in the top 8​% of pregnancy​ lengths?
​(b) What is the maximum pregnancy length that can be in the bottom ​7% of pregnancy​ lengths?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the calculator at https://davidmlane.com/hyperstat/z_table.html can help solve this.

your mean is 265 days and your standard deviation is 11 days.


(a) What is the minimum pregnancy length that can be in the top 8​% of pregnancy​ lengths?

that would be approximately 280.456 days.

here's what it looks like in the calculator.



​(b) What is the maximum pregnancy length that can be in the bottom ​7% of pregnancy​ lengths?

that would be approximately 248.766 days.

here's what it looks like in the calculator.



you could also solve it manually using z-score tables.

that take more skill and effort that you don't need to learn unless it's absolutely necessary for your course of instruction.

if you want help doing it that way, just let me know and i'll give you instructions.

otherwise, just use the calculator.
it still takes some knowledge to use it correctly but it's way more easier than trying to do it manually via the tables.