Hardwood Mulch Hardwood Mulch Is Sold by the Cubic Yard

question 404

Essay

Hardwood mulch Hardwood mulch is sold by the cubic yard. (But they just call it 'yards'
to be confusing.) One lawn and garden store has a truck that they say can carry up to 7
yards for delivery. (It can actually hold a bit more.) Of course, when they fill the truck they
don't get exactly 7 yards of mulch. They weigh it to determine the actual amount for billing
purposes. They charge $28 per yard for the mulch, plus $25 for delivery
a. Shown are some summary statistics describing the distribution of the actual amounts of
mulch in full loads. Fill in the table to include those statistics for the cost including
delivery. $$\begin{array} { | l | c | c | } \hline \text { Statistic } & \begin{array} { c } \text { Yards } \\\text { Of Mulch }\end{array} & \begin{array} { c } \text { Cost incl. } \\\text { Delivery }\end{array} \\\hline \text { Mean } & 7.1 & \\\hline \text { Standard deviation } & 0.18 & \\\hline \text { Q1 } & 6.8 & \\\hline \text { Median } & 7.2 & \\\hline \text { IQR } & 0.5 & \\\hline\end{array}$$
b. Your delivery is among this set of data, and it has a z-score of -0.84 for the distribution
of yards of mulch. What is your z-score for the cost including delivery?