5. For a data set of 100 samples, the mean and standard deviation are 1.0 and 0.

Question

5. For a data set of 100 samples, the mean and standard deviation are 1.0 and 0.15, Estimate the interval over which 95% of the measurements should be expected to lie. 6. As part of sensor calibration, you obtain the graph shown below. Calculate the sensitivity at (a) X-2 and (b) X-5 25 20 15 10 y 1.37e0.43x 0 Given the following samples, determine if there are any outliners: 6,9,21,3,7. Assume normal distribution 7. 8. The resistance of a circuit is given by R- V/I, where l -current and V-voltage. fl 10 A, v 100 V, and the uncertainty in both I and V are 5%, estimate the uncertainty in the resistance.

Explanation / Answer

The answer is for Question number 5 only :

Considering the Normal Distribution( A very common continuous probability distribution ),

we know that 95% measurements will lie within the interval of

(M-2*S) to (M+2*S) ; Where M=Mean, S=Standard Deviation

According to the given data, M=1.0, S=0.15

Now the required interval is,

(1.0-2*0.15) to (1.0+2*0.15)

= (1.0-0.3) to (1.0+0.3)

= 0.7 to 1.3 ( Answered )

NOTE : Like 95% there are formulas for interval in which 67.8% and 99.7% will lie also and they are

(M-S) to (M+S) And (M-3*S) to (M+3*S) respectively.

NOTE : Normal Distribution is also called as Gaussian Distribution.

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