Estadística. Serie Schaum- 4ta edición - Murray R. Spiegel.pdf (1)

RESPUESTAS A LOS PROBLEMAS SUPLEMENTARIOS 553
The observed number of runs ¼ 12
The expected number of runs ¼ 7
6 observations above K, 6 below
* N is small, so the following approximation may be invalid.
P-value ¼ 0.002
17.58 a)
b)
c)
Sequence
Runs
a a b 2
a b a 3
b a a 2
Sampling distribution
V f
2 2
3 1
Probability distribution
V Pr{V}
2 0.667
3 0.333
17.59 Media = 2.333 Varianza = 0.222
17.60 a)
Sequence
Runs
a a b b 2
a b a b 4
a b b a 3
b b a a 2
b a b a 4
b a a b 3
Sampling distribution
V f
2 2
3 2
4 2
Probability distribution
V Pr{V}
2 0.333
3 0.333
4 0.333
Mean V 3
Variance V 0.667
b)
Sequence
Runs
a b b b 2
b a b b 3