A quality control supervisor wishes to determine whether the following measurements are random: $$\begin{array}{l}
\begin{array} { r r r r r r r r }
68.2 & 65 & 66.5 & 65 & 67.5 & 68 & 66 & 64.5 \
65.3 & 64.2 & 67.6 & 66.5 & 66.8 & 68.9 & 67 & 65 \
\hline\
\end{array}\
\begin{array} { r r r r r r r | }
\hline 65 & 67 & 68 & 71 & 68.5 & 63.6 & 64.7 \
71.5 & 70.7 & 66 & 68.5 & 70.5 & 69.5 & 70.1 \
\hline
\end{array}
\end{array}$$ For this purpose, the supervisor uses a previous median of 67.9 and compares each measurement to that median to perform a runs test.She uses a significance level of 0.05.This is a ______ test.
A)right-tailed
B)forward-tailed
C)two-tailed
D)inside-tailed
E)left-tailed

Question

A quality control supervisor wishes to determine whether the following measurements are random: $$\begin{array}{l}
\begin{array} { r r r r r r r r } 
68.2 & 65 & 66.5 & 65 & 67.5 & 68 & 66 & 64.5 \
65.3 & 64.2 & 67.6 & 66.5 & 66.8 & 68.9 & 67 & 65 \
\hline\
\end{array}\
\begin{array} { r r r r r r r | } 
\hline 65 & 67 & 68 & 71 & 68.5 & 63.6 & 64.7 \
71.5 & 70.7 & 66 & 68.5 & 70.5 & 69.5 & 70.1 \
\hline
\end{array}
\end{array}$$ For this purpose, the supervisor uses a previous median of 67.9 and compares each measurement to that median to perform a runs test.She uses a significance level of 0.05.This is a ______ test.
A)right-tailed
B)forward-tailed
C)two-tailed
D)inside-tailed
E)left-tailed

Quizplus · Accepted Answer

The runs test is a non-parametric test that is used to determine if a sequence of data points is random or not. It does this by comparing the number of runs (a sequence of similar items) in the data to what would be expected in a random sequence. Since the test is looking for deviations in either direction from randomness (either too few or too many runs), it is inherently a two-tailed test.

A Quality Control Supervisor Wishes to Determine Whether the Following