CHAPTER 4 HW POSC 301

CHAPTER 4 HW YT 4.1 Q1: 64 in Q2: 68.5 Q3: 71.5 Q4: 72 Q5: 76 YT 4.2 HEIGHT Mean 72.4545454 5 Standard Error 0.54545454 5 Median 72 Mode 72 Standard Deviation 1.80906806 7 Sample Variance 3.27272727 3 Kurtosis 0.32030285 5 Skewness 0.35277525 3 Range 6.5 Minimum 69.5 Maximum 76 Sum 797 Count 11 The mean height of the president’s is 72.45 and the standard deviation is 1.809.

YT 4.3 HEIGHT (X) NUMBER OF PRESIDENTS(fx) Xfx X-µ (X-µ)2 (X-µ)2 fx 64 1 64 -6.8372093 46.74743104 46.74743 66 2 132 -4.8372093 23.39859383 46.79719 67 2 134 -3.8372093 14.72417523 29.44835 68 5 340 -2.8372093 8.049756625 40.24878 69 3 207 -1.8372093 3.375338021 10.12601 70 5 350 -0.8372093 0.700919416 3.504597 71 3 213 0.1627907 0.026500811 0.079502 72 12 864 1.1627907 1.352082207 16.22499 73 3 219 2.1627907 4.677663602 14.03299 74 4 296 3.1627907 10.003245 40.01298 75 1 75 4.1627907 17.32882639 17.32883 76 2 152 5.1627907 26.65440779 53.30882 N= 43 ∑Xfx= 3046 µ=∑Xfx/N µ= 70.8372093 Sum of Squares = ∑(X-µ)2 fx Sum of Squares = 317.8605 Variance = SS/N Variance = 7.392104 Standard deviation = square root of the variance Standard deviation = 2.718842 1ST 68.11837 73.55605 2ND 65.39952 76.27489 3RD 62.68068 78.99374 The average height of the president’s is 70.8 in and the standard deviation is 2.72 So, 68% of the president’s height is between 68.12 to 73.56 95% of the president’s height is between 65.39 to 76.27 99% of the president’s height is between 62.68 to 78.99 YT 4.4 𝜎= √p(1-p) Czech Republic: Slovak Republic: 𝜎= √ .904(1-.904) 𝜎= √ .8575(1-.8575) = √ (.904)(.096) = √ (.8575)(.1425)

NEW PRIVATE The mean for the private salary is $79,969.20 with a standard deviation of $28,589. 68% of the private salary is $49,466.17 to $108,724 95% of the private salary is $19,837.23 to $49,466.18 99% of the private salary is $9,791.72 to $79,095.13 VALID FREQUENCY PERCENT VALID PERCENT CUMULATIVE PERCFENT 41000-66999 81 44.3 44.8 44.8 67000-92999 52 28.4 28.7 73.5 93000-118999 23 12.6 12.7 86.2 119000-145000 25 13.7 13.8 100.0 TOTAL 181 98.9 100.0 MISSING SYSTEM 2 1.1 TOTAL 183 100