# Lecture Notes for MECH 591 - INSTRUMENTATION & MEASUREMENT with Duva at Wentworth Institute of Technology (WIT)

## Notes Information

 Material Type: Class Note Professor: Duva Class: MECH 591 - INSTRUMENTATION & MEASUREMENT Subject: Mechanical University: Wentworth Institute of Technology Term: -- Keywords: Confidence LevelLevel of SignificanceDistributionRelationshipNo CorrelationLinear RelationshipNormal DistributionDensity FunctionRandom VariableExplicit Solution

## Sample Document Text

Summary of statistical analysis 1. Normal distribution If a random variable can be described by a normal distribution, its density function is  ( x − µ) 2  1 f ( x) = exp −  2σ 2  σ 2π  Where σ is the standard deviation µ is the mean value f (x) is called the probability density function x is magnitude of the random variable The probability of a < x < b will be (1)  ( x − µ) 2  1 P (a < x < b) = ∫ f ( x)dx = ∫ exp − dx a σ 2π 2σ 2  a  b b (2) 2. Standard normal distribution and the table The value of equation (2) is usually determined by a standard normal distribution table because the explicit solution is not available. The standard normal distribution is a normal distribution with σ =1 and µ =0. The probability density function of the standard normal distribution is  µ2  1 f ( z) = exp −  (3) 2π  2 Table 1 is the table of the standard normal (z) distribution, which is the same as table in page 50 of the textbook. The table...

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