In a survey by the United Airlines of 100 flights between Jan. 2, 2012 to Feb. 15, 2012, whether the flights arrive their destination on time or not are recorded. What is the sample proportion? Please estimate the standard deviation of the sample proportion, and calculate the probability that the sample proportion is less than 30 %.

The financial data of 37 companies in the communication and internet sector is given below. In the data set, the debt-to-asset, dividend per share, current ratio, fixed asset turnover, ROA, and P/B ratio of September, 2011 are given.

Please use the sample means and variances of the above six financial variables in 2011 as an estimate of the population means and variances of the year 2012, and answer the following questions:

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Debt-to-asset (%) Dividend per share Current ratio Fixed asset turnover 130.4 2.16 9.8 1.08 14.43 1.17 0.17 3.18 60.35 78.74 24.3 45.53 22.58 13.27 53.93 28.8 53.05 35.8 17.58 17.69 54.66 63.65 19.89 34.34 46.59 24.21 33.55 40.79 35.49 39.01 37.82 51.42 0.32 22.85 45.63 57.04 4.17 60.48 37.98 13.01 28.33 49.46 35.55 27.64 0 0 5.73 10.08 0 5.44 5.99 12.1 0 4.4 1.07 8.16 0 5.06 7.6 1.01 4.37 1.5 2.29 7.96 7.35 0 3.1 5.52 3.42 5.49 3.4 4.69 11.24 1.06 7.65 7.26 0 4.38 6.59 1.33 87.75 36.76 151.46 171.58 174.97 137.16 150.26 125.28 215.22 394.77 438.73 220.43 129.16 419.59 122.9 39.16 373.75 253.04 176.64 218.21 164.8 209.99 157.65 151.9 54.93 155.36 135.61 1,229.48 127.84 195.28 664.24 111.58 166.77 246.69 264.17 13.8 0.91 12.08 0.29 3.08 1.04 9.33 0.48 1.06 0.47 10.75 9.52 9.87 6.83 2.02 5.42 27.38 0 0.47 4.23 5.36 2.28 1.9 19.95 1.41 0.86 4.26 1.98 11.09 ROA P/B -5.36 0.92 -1.4 0.91 1.24 1.03 2.55 1.05 0.02 0.85 2.78 2.19 0.22 1.56 1.06 1.17 1.45 0.72 4.5 4.82 3.71 2.47 4.52 1.47 -9.68 1.88 7.41 6.5 -1.31 0.77 1.23 0.65 4.04 6.24 -1.62 0.83 2.85 1.88 4.67 2.24 2.23 1.06 0.26 0.84 2.57 0.94 0.73 1.49. 0.59 0.89 2.69 2.13 1.12 0.94 2.11 1.84 3.16 0.9 0.65 1.4 2.87 1.3 3.28 1.1 -1.86 0.56 3.1 2.44 5.96 2.01 -1.58 2.46