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A Methods and Measurements Analyst for Timepiece, Inc  Observation 12345 Time (seconds) 2719202113\begin{array} { l r r r r r } \text { Observation } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Time (seconds) } & 27 & 19 & 20 & 21 & 13\end{array}

question 120

Multiple Choice

A methods and measurements analyst for Timepiece, Inc., needs to develop a time standard for the task of attaching a watch to a wristband. In a preliminary study, he observed one of his workers perform this task five times, with the following results:  Observation 12345 Time (seconds)  2719202113\begin{array} { l r r r r r } \text { Observation } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Time (seconds) } & 27 & 19 & 20 & 21 & 13\end{array} How many observations should be made if he wants to be 95.44 percent confident that the maximum error in the observed time is one second? Assume that the standard deviation of the task time is five seconds.

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Definitions:

Warm-up

Activities or exercises performed before the main activity to prepare physically or mentally, often used in sports or public speaking.

Confident

Feeling or showing certainty about one's abilities, qualities, or ideas.

Lawful

Conforming to, permitted by, or recognized by law or rules.

Employer

An individual or organization that hires and pays people to perform work or provide services.

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