42. Calculate the standard deviation from the range values given in Example 3.5 using the Shewhart...

Question

Question

42. Calculate the standard deviation from the range values given in Example 3.5 using the Shewhart formula, s = R/d.

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math Statistics-And-Probability

Answer 1

Answer #1

First we need calculate $\bar{R}$ . So,

$\bar{R}=\frac{0.6+0.8+0.8+0.6+0.8+1+0.8+0.7}{8}=0.7625$

For n=5 we have $d_{2}=2.326$

So standrad deviation will be

$s=\frac{\bar{R}}{d_{2}}=\frac{0.7625}{2.326}\approx 0.3278$

Answer 2

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