A landscaping company hypothesizes that the median number of lawns they mow in a we 20. They tabulated the number of lawns mowed in a random sample of 14 weekends.
$\begin{array} { l l l l l l l } 22 & 18 & 19 & 20 & 25 & 20 & 18 \ 22 & 23 & 20 & 21 & 26 & 24 & 22 \end{array}$
What is the test value? d is
A) 7
B) 8
C) 4
D) 3

Question

Quizplus · Accepted Answer

To find the test value (d) for a hypothesis test concerning the median, we first need to rank the data and then count how many data points are above and below the hypothesized median. The hypothesized median is 20. Counting the numbers less than 20, we have 5 (18, 18, 19, 19, 20), and counting the numbers greater than 20, we have 9. The test value (d) is the smaller of these two counts, which is 3.

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A Landscaping Company Hypothesizes That the Median Number of Lawns $\begin{array} { l l l l l l l } 22 & 18 & 19 & 20 & 25 & 20 & 18 \\ 22 & 23 & 20 & 21 & 26 & 24 & 22 \end{array}$