Prueba De Hipotesis

Páginas: 2 (380 palabras) Publicado: 26 de mayo de 2012
Unit 4:-  Pruebas de Hipótesis   (Start Date: Jul 1)
Activity: Tarea_#14
Resolver los problemas 10.67, 10.69, 10.71, 10.75 y 10.77 de las páginas 370 y 371 del libro de texto.


10.67 – Thevolume of containers of a particular lubricant is known to be normally distributed with a variance of 0.03 liter. Test the hypothesis that σ2 = 0.03 against the alternative that σ2 ≠ 0.03 for the randomsample of 10 containers in exercise 10.25 on page 357. Use a P-value in your conclusions.

10.69 – Aflotoxins produced by mold on peanuts crops in Virginia must be monitored. A sample of 64 batchesof peanuts reveals levels of 24.17 ppm, on average, with a variance of 4.25 ppm. Test the hypothesis that σ2 = 4.2 ppm with the alternative that σ2 ≠ 4.2 ppm. Use a P-value in your conclusions.10.71 A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has a variance of 2.03deciliters, does this indicate at the 0.05 level of significance that the machine is out of control? Assume that the contents are approximately normally distributed.

10.75 – With reference to exercise10.39 on page 359, test the hypothesis that σ21 = σ22 against the alternative that σ21 ≠ σ22, where σ21 and σ22 are the variances for the running times of films produced by company 1 and company 2,respectively. Use a P- Value.

10.77 – An experiment was conducted to compare the alcohol contents in a soy sauce at 2 different production lines. Production was monitored 8 times a day. The data isshown here.

Production line 1:

0.48 – 0.39 – 0.42 – 0.52 – 0.40 – 0.48 – 0.52 – 0.52

Production line 2:

0.38 – 0.37 – 0.39 – 0.41 – 0.38 – 0.39 – 0.40 – 0.39

Assume both populations arenormal. It is suspected that production line 1 is not producing as consistently as production line 2 in terms of alcohol contents. Test the hypothesis that σ21 = σ22 against the alternative that σ21 ≠...
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