Ten Samples of N = 5 Were Collected to Construct $\overline { x ^ { * } }$

question 49

Multiple Choice

Ten samples of n = 5 were collected to construct an $\overline { x ^ { * } }$ chart. The sample mean and range for each sample are shown in the table below. $$\begin{array} { | c c c | c c c | } \hline \text { Sample } & \text { Mean } & \text { Range } & \text { Sample } & \text { Mean } & \text { Range } \\\hline 1 & 215 & 15 & 6 & 224 & 21 \\2 & 204 & 20 & 7 & 205 & 27 \\3 & 160 & 10 & 8 & 184 & 12 \\4 & 226 & 19 & 9 & 207 & 16 \\5 & 232 & 24 & 10 & 212 & 17 \\\hline\end{array}$$ Calculate the empirical lower and upper control limits for the $\overline { x ^ { * } }$ chart. (You will need a table of control chart factors.) $$\begin{array} { c l l r } \hline \text { Subgroup Size } & d _ { 2 } & D _ { 3 } & D _ { 4 } \\\hline 2 & 1.128 & 0 & 3.267 \\3 & 1.693 & 0 & 2.574 \\4 & 2.059 & 0 & 2.282 \\5 & 2.326 & 0 & 2.114 \\6 & 2.534 & 0 & 2.004 \\7 & 2.704 & 0.076 & 1.924 \\8 & 2.847 & 0.136 & 1.864 \\9 & 2.970 & 0.184 & 1.816 \\\hline\end{array}$$

• A)196.46, 217.34
• B)171.81, 241.39
• C)188.03, 225.17
• D)163.64, 250.56

Assess the significance of military and civilian experiences during World War II.

Grasp the implications of key legal and constitutional decisions made during and after World War II.

Analyze the transformation in public opinion and social norms as a result of World War II.

Understand the concept and calculation of sample correlation coefficient.

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Definitions:

Rebellion

An act of resistance or defiance against established authority or conventional norms, often seen during adolescence.

Delinquency

Illegal or antisocial behaviors typically committed by minors, ranging from minor infringements to serious crimes.

Long-term Prospects

Future opportunities or potential, typically considered over an extended period, suggesting stability or growth.

Delinquent Adolescents

Young individuals, typically in their teenage years, who engage in illegal or antisocial behaviors.