A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games, He displayed the results in the box plots below.

10 12 14 16 18 20 22 24 26 28 30 32

Number of Shots Taken by Home Team Players

10 12 14 16 18 20 22 24 26 28 30 32

Number of Shots Taken by Visiting Team Players

Which describes an inference that the coach might make after comparing the medians of the two data sets?

The home team took more shots than the visiting team.

The visiting team took more shots than the home team,

The home team had more variability in the number of shots taken

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to