An experiment is run to determine how well a new process can measure the amount of a certain pesticide in water. The experiment uses the new test and the old test to measure 10 water samples with known amounts. The data below is the number of parts per million that each test differs from for each sample.
The old test produces: {30, 19, 24, 24, 24, 13, 22, 12, 19, 33 }
The new test produces: { 29, 25, 29, 29, 27, 29, 27, 32, 32, 24 }
Does the new test produce significantly different results? Use a significance level of 95%. What are the sample means and deviations of this data? Also give a box-and-whisker plot for each set of data.