SOLUTION: Given a normal distribution with a = 100 and σ = 10, if you select a random sample of n = 25, there is a 65% chance that the sample mean is above what value?

Algebra.Com
Question 758873: Given a normal distribution with a = 100 and σ = 10, if you select a random sample of n = 25, there is a 65% chance that the sample mean is above what value?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given a normal distribution with a = 100 and σ = 10, if you select a random sample of n = 25, there is a 65% chance that the sample mean is above what value?
--------
Find the z-value with a left tail to 0.65 = 0.3853
-----
Find the correspondiing x-bar value using x-bar = z*s/sqrt(n) + u
----
x-bar = 0.3853 + 100 = 100.77
===============
Cheers,
Stan H.
===============

RELATED QUESTIONS

Given a normal distribution with = 103 and σ = 20, if you select a sample of n =... (answered by stanbon)
Given a normal distribution with = 100 and σ = 10, if you select a sample of n =... (answered by stanbon)
Given a normal distribution with = 100 and σ = 10, if you select a sample of n =... (answered by stanbon,sbepk4)
Given a normal distribution with μ = 100 and σ = 10, if you select a sample of n = 25,... (answered by Boreal)
Given a normal distribution μ = 100 with and σ=10, if you select a sample of... (answered by stanbon,kkasko)
Given a normal distribution with the mean = 100 and standard deviation = 10, if you... (answered by rothauserc)
Given a normal distribution with u=100 and q=10, if you select a sample of n=25, what is... (answered by ewatrrr)
Given a normal distribution with � = 104 and σ = 25, if you select a sample of n =... (answered by Boreal)
2. Given a normal distribution with 𝜇 = 50 and 𝜎 = 5, if you select a sample of 100 (answered by ewatrrr)