HW # 1

To those who unfortunately are reading this as opposed to vacationing in Vegas,

Andrew Jones

Biometry

2/3/13

Small Arabinose Negative Lineages vs. Large Arabinose Negative Lineages

Average of Small-

0.765635645
0.890993539
0.860948991
0.886212273
0.859489471
0.934212218
0.945863536
0.999423109
0.899233247
0.787217193
0.938261524
0.984696833
0.83820725
0.827858702

(∑Obs)/n where n = 14.

(1) Mean = .887

(2) Var = (∑(obs-µ)^2)/(n-1)

=(.00016+.000052+.00021+.00053+.00040+.00006+.00040+.00002+.00021+.00289+. 00231+.00028+.00151+.00174)/13

=.00087

Average of Large-

0.887503593
0.907561395
0.914647822
0.877401142
0.920149004
0.907823388
0.880485947
0.896073919
0.88584494
0.954043492
0.852222311
0.9171615
0.861517592
0.942045965
0.916409303

(∑Obs)/n where n = 15.

(1) Mean = .901

(2) Var = (∑(obs-µ)^2)/(n-1)

=(.01473 + .00002 + .00068 +.00000 + .00076 + .00228 + .00346 + .01263 + .00015 + .00996 + .00263 + .00954 + .00238 + .00350)/14

=.00482

(3) Mean of means= (.901 + .887)/2 = 0.895

(4) Variance of Mean of Means((.900-.89)^2 + (.887-.894)^2)/n-1 = .000085

(5) Grand Mean

0.765635645
0.890993539
0.860948991
0.886212273
0.859489471
0.934212218
0.945863536
0.999423109
0.899233247
0.787217193
0.938261524
0.984696833
0.83820725
0.827858702
0.887503593
0.907561395
0.914647822
0.877401142
0.920149004
0.907823388
0.880485947
0.896073919
0.88584494
0.954043492
0.852222311
0.9171615
0.861517592
0.942045965
0.916409303
/19

=.8945

(6) Variance

(.0165 + .00001 + .00112 + .00007 + .00122 + .00158 + .00264 + .01102 + .00002 + .01150 + .00192 + .00814 + .00316 + .00443 + .00005 + .00017 + .00041 + .00029 + .00066 + .00018 + .00020 + .00000 + .00007 + .0036 + .00178 + .00052 + .00108 + .00227 + .00048)/28

=.00268

(7) The Weird One

 Obs- .8945

-0.128817625

-0.003459731

-0.033504279

-0.008240997

-0.034963799 

0.039758948 

0.051410266

0.104969839 

0.004779977

-0.107236077 

0.043808254 

0.090243563

-0.056246020

-0.066594568

-0.006949677 

0.013108125 

0.020194552

-0.017052128 

0.025695734 

0.013370118

-0.013967323

0.001620649

-0.008608330 

0.059590222

-0.042230959 

0.022708230

-0.032935678 

0.047592695

0.021956030

(-0.128817625 + -0.003459731 + -0.033504279 + -0.008240997 + -0.034963799  + 0.039758948  + 0.051410266 + 0.104969839 + 0.004779977 + -0.107236077  + 0.043808254  + 0.090243563 + -0.056246020 + -0.066594568 + -0.006949677  + 0.013108125  + 0.020194552 + -0.017052128  + 0.025695734  + 0.013370118 -+ 0.013967323 + 0.001620649 + -0.008608330 + 0.059590222 + -0.042230959+ 0.022708230 + -0.032935678 + 0.047592695 + 0.021956030)/29

= 1.15 x 10^-17

(8) (-0.128817625- 1.15 x 10^-17)^2 + (-0.003459731- 1.15 x 10^-17) ^2 + (-0.033504279- 1.15 x 10^-17) ^2 + (-0.008240997- 1.15 x 10^-17) ^2 + (-0.034963799- 1.15 x 10^-17) ^2  + (0.039758948- 1.15 x 10^-17) ^2  + (0.051410266- 1.15 x 10^-17) ^2 + (0.104969839- 1.15 x 10^-17) ^2 + (0.004779977- 1.15 x 10^-17) ^2 + (-0.107236077- 1.15 x 10^-17) ^2  + (0.043808254- 1.15 x 10^-17) ^2  + (0.090243563- 1.15 x 10^-17) ^2 + (-0.056246020- 1.15 x 10^-17) ^2 + (-0.066594568- 1.15 x 10^-17) ^2 + (-0.006949677- 1.15 x 10^-17) ^2  + (0.013108125- 1.15 x 10^-17) ^2  + (0.020194552- 1.15 x 10^-17) ^2 + (-0.017052128- 1.15 x 10^-17) ^2  + (0.025695734- 1.15 x 10^-17) ^2  + (0.013370118- 1.15 x 10^-17) ^2 + (0.013967323- 1.15 x 10^-17) ^2 + (0.001620649- 1.15 x 10^-17) ^2 + (-0.008608330- 1.15 x 10^-17) ^2 + (0.059590222- 1.15 x 10^-17) ^2 + (-0.042230959- 1.15 x 10^-17) ^2+ (0.022708230- 1.15 x 10^-17) ^2 + (-0.032935678- 1.15 x 10^-17) ^2 + (0.047592695- 1.15 x 10^-17) ^2 + (0.021956030- 1.15 x 10^-17) ^2

All divided by 29

=0.0026

magic