(Situation C) Ten Samples Of $n = 5$ Were Collected to Construct An

question 21

Essay

(Situation C) Ten samples of $n = 5$ were collected to construct an $\bar { x }$ -chart. The sample means and ranges for the 10 samples are shown below.


$\begin{array}{cccccc}\hline \text { Sample } & \text { Mean } & \text { Range } & \text { Sample } & \text { Mean } & \text { Range } \\\hline 1 & 20.2 & 2.7 & 6 & 20.4 & 1.9 \\2 & 22.4 & 1.8 & 7 & 15.9 & 1.0 \\3 & 21.2 & 1.5 & 8 & 22.3 & 2.1 \\4 & 18.2 & 1.2 & 9 & 20.7 & 1.6 \\5 & 23.2 & 2.4 & 10 & 21.1 & 1.8 \\\hline\end{array}$

-Calculate the centerline for constructing the $\bar { x } \text {-chart. }$

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Definitions:

Weighted-Average Shares

The number of shares outstanding adjusted for changes in share capital, used in calculating earnings per share over a reporting period.

Retained Earnings Statement

A financial statement that outlines the changes in retained earnings for a company over a specific period.

Owners' Equity

The residual interest in the assets of an entity after deducting liabilities, representing the ownership interest of the shareholders.

Net Income

The total earnings of a company after subtracting all expenses and losses from total revenue.