A crop scientistevaluating lettuce yields plants 20 plots, treats them with a newfertilizer, lets the lettuce grow, and then measures yield innumbers of heads per plot, with these results: 145, 142, 144, 141,142, 155, 143, 157, 152, 143, 103, 151, 150, 148, 150, 162, 149,158, 144, 151
The scientist isinterested in testing whether the lettuce data are compatible witha population median of 150, or rather are strong evidence of amedian less than 150.
Define if thefollowing statement is true or false:
Using α =5%, thescientist can conclude that the median number of heads per plot isless than 150.