@@Problems

# @@Problems - Age Bone Density n= numerator= denominator= r=...

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Age 37 41 49 53 61 Bone Density 360 350 330 325 315 n= 5 numerator= -3480 denominator= 42.70831301 82.76473 r= -0.9845132 r^2= 0.969266231 population variance 27.36 sample standard deviation standard deviation 5.230678732 n= n= 10 6 6 6 7 8 9 17 17 18 18 avg= 11.2 sum (x-x)^2= 273.6 avg= sum (x-x)^2 correlation coef 0.9606175307 ACT Score 18 20 22 24 GPA 1.5 2 3 3.5 Weeks of G 34 35 36 40 coef of deter Weight (in 4.5 5.5 6.5 7.5 0.9227860402 trim mean 20,.4 10,.2 29 varpop 18.56 44.3333333333 30 stdpop 4.308132 31 31 35 39 43

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43 43 44 44 46 46 47 48 54 55 56 57 59
Sum Product z^2 241 80280 11981 1680 565850 sample variance 14 0.02077 standard deviation 3.741657 20 n= 6 0.398 2 0.398 2 0.404 4 0.407 4 0.407 6 0.411 12 0.413 avg= 5 0.424 sum (x-x)^2 70 0.425 0.427 0.43 0.433 0.437 0.441 0.446 0.449 0.45 0.458 0.459 0.46 0.42885 0.008197 26 28 32 4.5 5 5.5 41 9 6 7 8 8 8 11 11

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12 17 20
A: B: A: 0.274 20286 4.49 standard deviation 599.767 0.275 20509 3.29 sample mean 20995.14 0.275 21571 4.16 n 14 0.275 21099 3.71 sum (x-x)^2 4676366 0.275 20552 2.9 CV= 2.856694 0.283 21038 4.68 B: 0.289 21174 4.64 standard deviation 0.704824 0.292 21593 4.69 sample mean 4.031818 0.294 21739 3.14 n 11 0.301 21546 4.88 sum (x-x)^2 4.967764 0.303 21821 3.77 CV= 17.48153 0.308 20616 4.031818 0.316 20051 0.319 20337 0.328 20995.14 avg= 0.2938 A: B: 29900 3.42 20124 A: B: A: 29200 3.53 20145 20589 2.91 4.34 26100 4.41 20363 21899 4.07 2.92 39300 3.95 20407 22000 3.8 3.97 24200 3.18 20532 22112 4.79 3.43 37300 4.85 20834 22113 3.65 4.59 34300 3.13 21177 20955 4.44 4.33 29700 4.23 21195 21423 3.38 3.75 35100 3.53 21223 20845 4.49 4.46 21100 4.72 21465 21683 3.73 4.81 38800 3.24 21613 21715 3.11 4.21 25100 21619 21315 3.1 3 27200 21717 22133 4.57 29100 22194 20103 3.45 20182 3.84 8 53.44 -10 6 11 2 3.4

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Lower Bound Upper Bound Frequency Midpoint Frequency*Midpoint Frequency*(Mi 51 58 3 54.5 163.5 8910.75 59 66 12 62.5 750 46875 67 74 9 70.5 634.5 44732.25 75 82 5 78.5 392.5 30811.25 83 90 14 86.5 1211 104751.5 sum= 43 352.5 3151.5 236080.75 sample mean= 73.2906976744 sample variance= 121.550387597 numerator= 5105.11627907 denominator= 42 B: sampvar 18.4 13 98.1 5.7 30300 sampdev 0.7968853843 9 98.1 5.6 35700 4 98.2 5.5 24500 5 97.9 5.4 19800 4 96.9 5.4 24100 13 98.1 5.3 28600 96.9 5.3 21100 97.2 5.2 23900 98.2 5.2 35500 97.9 36500 96.7 26500 97.6 98.2 97.9 97.6 99.4 99.3 99.1 97.4 96.6
idpoint^2) Lower BouUpper BouFrequency 51 58 3 59 66 12 67 74 9 75 82 5 83 90 14 5.5

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x -4 -3 -2 -1 0 1 standard de P(X = x) 0.2 0.1 0.1 0.2 0.1 0.3 variance x*P -0.8 -0.3 -0.2 -0.2 0 0.3 -1.2 E(x) x^2 16 9 4 1 0 1 31 (x^2)*P 3.2 0.9 0.4 0.2 0 0.3 5 x 3 4 5 6 7 standard de P(X = x) 0.2 0.3 0.1 0.2 0.2 variance x*P 0.6 1.2 0.5 1.2 1.4 4.9 E(x) x^2 9 16 25 36 49 135 (x^2)*P 1.8 4.8 2.5 7.2 9.8 26.1 x 7 8 9 10 11 standard de P(X = x) 0.1 0.1 0.3 0.1 0.4 variance x*P 0.7 0.8 2.7 1 4.4 9.6 E(x) x^2 49 64 81 100 121 415 (x^2)*P 4.9 6.4 24.3 10 48.4 94 ch6 N 30 15 n 6 1 k 15 x 5 kCx 3003 (N-k)C(n-x) 15 0.369441 NCn 593775 P(X=x) 0.075862 binomdist 0.197912 poisson 0.78513
eviation 1.886796 3.56 eviation 1.445683 2.09 eviation 1.356466 1.84 61.64298

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sample 100.5 n 155 p 0.58 miu 89.9 1-p 0.42 np(1-p) 37.758 sigma 6.14475 z 1.72505
n 384 0.06 p 0.04 1-p 0.96 σpˆ 0.01 P (sample proportion) 2

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finding confidence interval have to look this up sample mean 22.9 talpha/2 1.645 std 3.1 n 507 confidence level 0.95 sqrt(n) 22.5166605 alpha 0.05 alpha/2 0.025 lower 22.6735233 upper 23.1264767 df 506 how large a sample would be popu proportion p^ 0.279 error 0.02 zalpha/2 0.025 zvalue 1.96 alpha 0.05 confidence level 0.95 1-p^ 0.721 numerator 0.77277241 denominator 0.0004 n 1931.93104
sample mean 17.27 15.59 std 2.14468335 18.96 19.28 15.25

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mean x bar 1 197 mean x bar 2 180 x bar 1 - x bar 2 17 std1 12 std2 15 std1^2 144 std2^2 225 n1 7 n2 5 std1^2/n1 20.5714285714 std2^2/n2 45 deno 8.0976186976 miu 1 - miu 2 typically assume to be 0 0 numer 17 z-test statistic value of the test statisti 2.0993826253 sum of std1^2/n1 and std2^2/n2 65.5714285714 2 tail test to see if they're equal use critical value table look for c=.98, get 2.33 z test is used when sample is greater than 30
one tail test to see if one is shorter use c=.05, and alpha NOT alpha/2 one tail test greater than

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