Download Comparative Analysis of Protein Recovery Methods - Prof. James Davenport and more Assignments Statistics in PDF only on Docsity! Practice Problems # 04 – Solutions 1. Two methods were studied for the recovery of protein. Thirteen runs were made using each method, and the fraction of protein recovered was recorded for each run. The data are given below. Construct a comparative stem-and-leaf display (back-to-back stem plot) for the two methods. Method 1 0.32 0.35 0.37 0.39 0.42 0.47 0.51 0.58 0.60 0.62 0.65 0.68 0.75 Method 2 0.25 0.40 0.48 0.55 0.56 0.58 0.60 0.65 0.70 0.76 0.80 0.91 0.99 Back-to-back Stem-and-Leaf Plot for Protein Recovery Method 2 Method 1 5 2 3 2 5 7 9 8 0 4 2 7 8 6 5 5 1 8 5 0 6 0 2 5 8 6 0 7 5 0 8 9 1 9 Stems = tenths, leaves = hundredths 7|5 represents 0.75 2. A method was studied for the recovery of protein. Thirteen runs were made, and the fraction of protein recovered was recorded for each run. The data are given below. a. Construct a histogram beginning the first bin at 0.30 and make the bin width equal to 0.05. You will, of course, have to construct a frequency table first. Be sure to label the axes, provide a scale on each axis, and give the histogram a title. Frequency Distribution of protein Cumulative Cumulative Graph of protein Count Count Percent Percent Percent 0.300 To 0.350 2 2 15.38 15.38 |||||| 0.350 To 0.400 2 4 15.38 30.77 |||||| 0.400 To 0.450 1 5 7.69 38.46 ||| 0.450 To 0.500 1 6 7.69 46.15 ||| 0.500 To 0.550 1 7 7.69 53.85 ||| 0.550 To 0.600 2 9 15.38 69.23 |||||| 0.600 To 0.650 2 11 15.38 84.62 |||||| 0.650 To 0.700 1 12 7.69 92.31 ||| 0.700 To 0.750 1 13 7.69 100.00 ||| 0.00 1.00 2.00 3.00 4.00 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 Fraction of Protein Recovered Fraction Fr eq ue nc y C ou nt b. Explain what you did with data values that fall on the end points. Comparing the frequency table, the histogram, and the data list below, it is obvious that the intervals are open on the left and closed on the right; e.g. the observation 0.35 is placed in the first interval. 0.32 0.35 0.37 0.39 0.42 0.47 0.51 0.58 0.60 0.62 0.65 0.68 0.75 3. a. Class Intervals Frequency Rel. Freq. Density .15 -< .25 8 0.02192 0.2192 .25 -< .35 14 0.03836 0.3836 .35 -< .45 28 0.07671 0.7671 .45 -< .50 24 0.06575 1.3150 .50 -< .55 39 0.10685 2.1370 .55 -< .60 51 0.13973 2.7946 .60 -< .65 106 0.29041 5.8082 .65 -< .70 84 0.23014 4.6028 .70 -< .75 11 0.03014 0.6028 n=365 1.00001 b.
