SOLUTION: Please help with this I am struggling, Research shows the average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months, wha

Algebra ->  Probability-and-statistics -> SOLUTION: Please help with this I am struggling, Research shows the average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months, wha      Log On


   



Question 627275: Please help with this I am struggling,
Research shows the average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months, what length of time should be set for a warranty such that less than 10% of all phones will need repairs during the warranty period.
Thank you

Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The Z-score for 10% or less is -1.28. So





Set the warranty period at 18 months.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi, Re TY, Yes at less than 26 months... 50% would would be defective...
average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months
z = (x - 26)/6
what length of timehighlight%28x%29 should be set for a warranty such that less than 10% of all phones will need repairs during the warranty period.
highlight%28-1.28%29 = (x-26)/6 | Note: Excel NORMSINV(0.1)= -1.2816
6%2A-1.2816+%2B26 = x