2
17.392 8.110 4.078 3.151 3.528 2.440 5.924 3.690 10.870 4.793 2.498 0.569 8.281 0.154 13.602 5.244 16.677 5.977 4.313 4.767 2.381 8.115 4.891 6.720 7.728 2.717 10.451 5.901 4.714 3.032 1.495 15.733 7.768 2.333 7.822 3.957 5.285 7.094 3.078 1.264 2.630 10.177 11.094 4.772 7.281 14.344 19.867 0.119 2.072 1.611 1.781 1.530 3.280 4.301 0.202 7.489 6.001 9.269 8.477 3.043 0.877 6.966 2.103 0.843 1.182 8.121 2.007 1.395 4.661 7.378 HIPOTESIS n 100 m 10 max 19.867 min 0.022 media 5.272 rango 19.845 intervalo 2 INTERVAL FRECUENCIA min max 0 2 23 0.040 4.043 88.894 2 4 26 0.209 20.916 1.236 4 6 17 0.322 32.169 7.153 6 8 14 0.212 21.150 2.417 8 10 6 0.083 8.341 0.657 10 12 5 0.022 2.157 3.748 12 14 3 0.004 0.391 17.432 14 16 2 0.001 0.052 72.846 16 18 3 0.000 0.005 1687.204 18 20 1 0.000 0.000 2335.125 4216.712 4216.71 > 14.684 CONCLUSION: El valor estadistico de prueba C = 4216,71 comparado indica que la variable aleatoria se comport por tanto debemos rechazar la hipotesis de distribucion poisson _: Poisson (λ= 5) _1: Otra distribucion ( )=( ^ ^(− λ) )/ () = () _= ▒(( ) ^ )/ _ _ _ _ _ _ ^2 _(0,1;1 0−0−1) _ _ ^2 _(0,1;1 0−0−1) _ ^2 _(0,1;10−0 −1) = 14,684

ejercico 1

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Page 1: ejercico 1

17.392 8.110 4.078 3.151 3.528 2.440 5.924 3.4613.690 10.870 4.793 2.498 0.569 8.281 0.154 5.959

13.602 5.244 16.677 5.977 4.313 4.767 2.381 6.4438.115 4.891 6.720 7.728 2.717 10.451 5.901 0.8184.714 3.032 1.495 15.733 7.768 2.333 7.822 3.7083.957 5.285 7.094 3.078 1.264 2.630 10.177 2.155

11.094 4.772 7.281 14.344 19.867 0.119 2.072 1.4861.611 1.781 1.530 3.280 4.301 0.202 7.489 1.4226.001 9.269 8.477 3.043 0.877 6.966 2.103 1.8160.843 1.182 8.121 2.007 1.395 4.661 7.378 5.300

HIPOTESIS

n 100 m 10

max 19.867min 0.022 media 5.272 5

rango 19.845intervalo 2

INTERVALOS FRECUENCIAmin max

0 2 23 0.040 4.043 88.8942 4 26 0.209 20.916 1.2364 6 17 0.322 32.169 7.1536 8 14 0.212 21.150 2.4178 10 6 0.083 8.341 0.657

10 12 5 0.022 2.157 3.74812 14 3 0.004 0.391 17.43214 16 2 0.001 0.052 72.84616 18 3 0.000 0.005 1687.20418 20 1 0.000 0.000 2335.125

4216.712

4216.71>

14.684

CONCLUSION: El valor estadistico de prueba C = 4216,71 comparado con el valor de tabla criticoindica que la variable aleatoria se comporta como otra distribucion

por tanto debemos rechazar la hipotesis de distribucion poisson

𝐻_𝑜: Poisson (λ= 5)𝐻_1: Otra distribucion

𝑃(𝑥)=(𝜆^𝑥∗𝑒^(−λ) )/𝑥𝐼

𝑃(𝑥)𝐸=𝑛∗𝑃(𝑥)𝑪_𝒊=∑▒(( −〖𝑬 𝑶 )〗^𝟐)/𝑬

𝑂_𝑖 𝐸_𝑖𝑂_𝑖 𝐶_𝑖

𝑪_𝒊〖〖𝑥 _𝑐〗^2〗 _(0,1;10−0−1)

𝑪_𝒊 〖〖𝑥 _𝑐〗^2〗 _(0,1;10−0−1)〖〖𝑥 _𝑐〗^2〗 _(0,1;10−0−1) = 14,684

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Page 2: ejercico 1

2.052 10.3693.384 12.8771.392 1.5787.008 2.6376.412 1.2902.945 7.5523.791 4.2141.453 0.0220.433 2.547

17.066 12.171

CONCLUSION: El valor estadistico de prueba C = 4216,71 comparado con el valor de tabla criticoindica que la variable aleatoria se comporta como otra distribucion

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