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A Manufacturer of Lightbulbs Picks 10 Lightbulbs at Random Each

question 63

Multiple Choice

A manufacturer of lightbulbs picks 10 lightbulbs at random each day for quality control. The mean and range (in hours) of the lifetimes of the 10 lightbulbs are calculated. The results for
12 consecutive days are shown in the table below. Construct an R chart to determine whether
The process is in statistical control. $\begin{array}{c|c|c|c}\text { Day } & \overline{\boldsymbol{x}} & \text { Range } & s \\\hline 1 & 201.1 & 3.4 & 1.2 \\2 & 203.4 & 4.7 & 1.7 \\3 & 200.9 & 3.1 & 0.9 \\4 & 205.6 & 6.2 & 2.3 \\5 & 201.3 & 4.7 & 1.3 \\6 & 200.5 & 3.7 & 1.7 \\7 & 205.8 & 5.8 & 2.1 \\8 & 203.7 & 6.2 & 2.9 \\9 & 199.8 & 2.1 & 0.8 \\10 & 202.7 & 4.4 & 1.6 \\11 & 200.0 & 2.7 & 0.7 \\12 & 204.6 & 7.8 & 3.0\end{array}$
$\text { Control Chart Constants }$
$\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\bar{x}$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\boldsymbol{s}$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\boldsymbol{R}$
$\begin{array}{ccccccc}\hline n & A_{2} & A_{3} & B_{3} & B_{4} & D_{3} & D_{4} \\\hline 2 & 1.880 & 2.659 & 0.000 & 3.267 & 0.000 & 3.267 \\3 & 1.023 & 1.954 & 0.000 & 2.568 & 0.000 & 2.574 \\4 & 0.729 & 1.628 & 0.000 & 2.266 & 0.000 & 2.282 \\5 & 0.577 & 1.427 & 0.000 & 2.089 & 0.000 & 2.114 \\6 & 0.483 & 1.287 & 0.030 & 1.970 & 0.000 & 2.004 \\7 & 0.419 & 1.182 & 0.118 & 1.882 & 0.076 & 1.924 \\8 & 0.373 & 1.099 & 0.185 & 1.815 & 0.136 & 1.864 \\9 & 0.337 & 1.032 & 0.239 & 1.761 & 0.184 & 1.816 \\10 & 0.308 & 0.975 & 0.284 & 1.716 & 0.223 & 1.777 \\\hline\end{array}$

Definitions:

Taste

Refers to the individual preference or inclination towards certain experiences, such as flavors, fashion, art, or literature.

Distribution Of Opportunities

Distribution of opportunities involves how chances for education, employment, and social mobility are spread across different groups in society, often reflecting underlying social and economic structures.

Rewards

Rewards pertain to benefits, compensations, or other forms of recognition provided to individuals or groups in acknowledgement of their achievements, behavior, or effort.

Society

A large group of individuals living together in a community, sharing the same geographical or social territory, typically subject to the same political authority and dominant cultural expectations.