Standard Normal Variation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
Z = (Tz-Te)/σ
This formula uses 4 Variables
Variables Used
Standard Normal Variation - A Standard Normal Variation is a normal variate with mean µ=0 and standard deviation σ=1.
Normal Variate - Normal Variate is the point along the shaded curve whose probability we want to find using the standard normal variation.
Expected Value - The Expected Value is the mean of the curve of the standard normal variation.
Standard Deviation - (Measured in Second) - The Standard Deviation is a measure of how spread out numbers are.
STEP 1: Convert Input(s) to Base Unit
Normal Variate: 170 --> No Conversion Required
Expected Value: 160 --> No Conversion Required
Standard Deviation: 0.05 Day --> 4320 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = (Tz-Te)/σ --> (170-160)/4320
Evaluating ... ...
Z = 0.00231481481481481
STEP 3: Convert Result to Output's Unit
0.00231481481481481 --> No Conversion Required
FINAL ANSWER
0.00231481481481481 0.002315 <-- Standard Normal Variation
(Calculation completed in 00.004 seconds)

Credits

Created by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
Suman Ray Pramanik has created this Calculator and 50+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

16 Time Estimation Calculators

Expected Waiting Time for Customers in Queue
Go Expected Waiting Time for Customers in Queue = Mean Arrival Rate/(Mean Service Rate*(Mean Service Rate-Mean Arrival Rate))
Standard Normal Variation
Go Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
PERT Expected Time
Go PERT Expected Time = (Optimistic Time+4*Most Likely Time+Pessimistic Time)/6
Time Taken for Manufacturing Model with Shortage
Go Time taken for Manufacturing Model with Shortage = EOQ Manufacturing Model with Shortage/Demand per Year
Independent Float
Go Independent Float = Early Finish Time-Late Start Time-Activity Time
Total Float
Go Total Float = Late Finish Time-(Early Start Time+Activity Time)
Free Float
Go Free Float = Early Finish Time-Early Start Time-Activity Time
Expected Waiting Time for Customers in System
Go Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate)
Time Taken for Purchase Model with No Shortage
Go Time taken for Purchase Model no Shortage = Economic Order Quantity/Demand per Year
Time Taken for Purchase Model with Shortage
Go Time taken for Purchase Model with Shortage = EOQ Purchase Model/Demand per Year
Total Float given Finish Time
Go Total Float given Finish Times = Late Finish Time-Early Finish Time
Standard Deviation given Optimistic and Pessimistic Time
Go Standard Deviation = (Pessimistic Time-Optimistic Time)/6
Independent Float given Slack
Go Independent Float given Slack = Free Float-Slack of Event
Late Finish Time
Go Late Finish Time = Late Start Time+Duration of Activity
Early Finish Time
Go Early Finish Time = Early Start Time+Safety Stock
Total Float given Start Time
Go Total Float = Late Start Time-Early Start Time

Standard Normal Variation Formula

Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
Z = (Tz-Te)/σ

What is Standard normal variation?

A standard normal variate is a normal variate with mean µ=0 and standard deviation σ = 1. The Standard Normal Variate can be used to find the probability regarding X. Where collections of such random variables are used, there is often an associated assumption that members of such collections are statistically independent. Standard normal variables play a major role in theoretical statistics.

How to Calculate Standard Normal Variation?

Standard Normal Variation calculator uses Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation to calculate the Standard Normal Variation, A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z. Standard Normal Variation is denoted by Z symbol.

How to calculate Standard Normal Variation using this online calculator? To use this online calculator for Standard Normal Variation, enter Normal Variate (Tz), Expected Value (Te) & Standard Deviation (σ) and hit the calculate button. Here is how the Standard Normal Variation calculation can be explained with given input values -> 0.333333 = (170-160)/4320.

FAQ

What is Standard Normal Variation?
A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z and is represented as Z = (Tz-Te)/σ or Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation. Normal Variate is the point along the shaded curve whose probability we want to find using the standard normal variation, The Expected Value is the mean of the curve of the standard normal variation & The Standard Deviation is a measure of how spread out numbers are.
How to calculate Standard Normal Variation?
A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z is calculated using Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation. To calculate Standard Normal Variation, you need Normal Variate (Tz), Expected Value (Te) & Standard Deviation (σ). With our tool, you need to enter the respective value for Normal Variate, Expected Value & Standard Deviation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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