Suppose That at Each of the Time Points 1,2,3,… $\mu$ And Standard Deviation

question 13

Multiple Choice

Suppose that at each of the time points 1,2,3,….., a sample of size n is selected at random from a normal distribution with known mean $\mu$ and standard deviation $\sigma$ In order to construct a 3-sigma $\bar { X }$ chart, we need to

• A) determine \(\bar { x } _ { 1 } , \bar { x } _ { 2 } , \bar { x } _ { 3 } , \ldots \ldots\)
• Calculated values of the corresponding sample means.
• B) plot \(\bar { x } _ { 2 } ^ { \prime } s\)
• Over time; that is, plot the points \(\left( 1 , \bar { x } _ { 1 } \right) , \left( 1 , \bar { x } _ { 2 } \right) , \left( 1 , \bar { x } _ { 3 } \right) , \ldots \ldots\)
• And so on.
• C) Draw horizontal lines across the plot as \(\mu \pm 3\sigma / \sqrt { n }\)
• )
• D) All of the above are needed.
• E) Only A and B are needed.

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