A landscaping company hypothesizes that they can mow a median number of 20 lawns in one weekend.
A random sample of 14 weekends yields the following data:
$$\begin{array} { l l l l l l l }
22 & 18 & 19 & 20 & 25 & 20 & 18 \
22 & 23 & 20 & 21 & 26 & 24 & 22
\end{array}$$
-Is the landscaping company's hypothesis of a median of 20 lawns per weekend valid?
A) yes
B) no
C) Null hypothesis is invalid because the numbers of positives and negatives are equal.
D) There are not enough data points to make a valid determination.

Question

A landscaping company hypothesizes that they can mow a median number of 20 lawns in one weekend.
A random sample of 14 weekends yields the following data:
 $$\begin{array} { l l l l l l l } 
22 & 18 & 19 & 20 & 25 & 20 & 18 \
22 & 23 & 20 & 21 & 26 & 24 & 22
\end{array}$$
-Is the landscaping company's hypothesis of a median of 20 lawns per weekend valid?
A) yes
B) no
C) Null hypothesis is invalid because the numbers of positives and negatives are equal.
D) There are not enough data points to make a valid determination.

Quizplus · Accepted Answer

The median of the given data set is 21, which is greater than the hypothesized median of 20. Therefore, the hypothesis of a median of 20 lawns per weekend is valid.

A Landscaping Company Hypothesizes That They Can Mow a Median 2218192025201822232021262422\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}2222​1823​1920​2021​2526​2024​1822​

A Landscaping Company Hypothesizes That They Can Mow a Median $\begin{array} { l l l l l l l } 22 & 18 & 19 & 20 & 25 & 20 & 18 \\22 & 23 & 20 & 21 & 26 & 24 & 22\end{array}$