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Solved: The article “Can We Really Walk Straight?” (Amer.
Chapter 1, Problem 73E(choose chapter or problem)
The article “Can We Really Walk Straight?” (Amer. J. of Physical Anthropology, 1992: 19–27) reported on an experiment in which each of 20 healthy men was asked to walk as straight as possible to a target 60 m away at normal speed. Consider the following observations on cadence (number of strides per second):
\(\begin{array}{rrrrrrrrrr} .95 & .85 & .92 & .95 & .93 & .86 & 1.00 & .92 & .85 & .81 \\ .78 & .93 & .93 & 1.05 & .93 & 1.06 & 1.06 & .96 & .81 & .96 \end{array}\)
Use the methods developed in this chapter to summarize the data; include an interpretation or discussion wherever appropriate. [Note: The author of the article used a rather sophisticated statistical analysis to conclude that people cannot walk in a straight line and suggested several explanations for this.]
Questions & Answers
QUESTION:
The article “Can We Really Walk Straight?” (Amer. J. of Physical Anthropology, 1992: 19–27) reported on an experiment in which each of 20 healthy men was asked to walk as straight as possible to a target 60 m away at normal speed. Consider the following observations on cadence (number of strides per second):
\(\begin{array}{rrrrrrrrrr} .95 & .85 & .92 & .95 & .93 & .86 & 1.00 & .92 & .85 & .81 \\ .78 & .93 & .93 & 1.05 & .93 & 1.06 & 1.06 & .96 & .81 & .96 \end{array}\)
Use the methods developed in this chapter to summarize the data; include an interpretation or discussion wherever appropriate. [Note: The author of the article used a rather sophisticated statistical analysis to conclude that people cannot walk in a straight line and suggested several explanations for this.]
ANSWER:Step 1 of 3
Consider the following observations on cadence (number of strides per second):
\(\begin{array}{|l|l|} \hline 0.95 & 0.78 \\ \hline 0.85 & 0.93 \\ \hline 0.92 & 0.93 \\ \hline 0.95 & 1.05 \\ \hline 0.93 & 0.93 \\ \hline 0.86 & 1.06 \\ \hline 1 & 1.06 \\ \hline 0.92 & 0.96 \\ \hline 0.85 & 0.81 \\ \hline 0.81 & 0.96 \\ \hline \text { Sum } & 18.51 \\ \hline \end{array}\)
Begin by computing the mean and standard deviation of the given data.
Use the formula for the mean, noting that there are 20 observations.
So we have to find the mean.