SOLUTION: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is d) There is a 65% chance that X bar is above wh

Algebra ->  Probability-and-statistics -> SOLUTION: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is d) There is a 65% chance that X bar is above wh      Log On


   

Question 418778: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is
d) There is a 65% chance that X bar is above what value?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is
d) There is a 65% chance that X bar is above what value?
---
Find the t-value with a left-tail of 65%
invT(0.65 when df = 24) = 0.3900
---
Find the corresponding x-bar using x-bar = ts+u
---
x-bar = 0.3900 + 103 = 104.56
===========================================
Cheers,
Stan H.
============