We have a normal distribution with an acceptance zone of 90%. What is the value of alpha if we have a rejection zone with an upper tail?

Name: Solved: We have a normal distribution with an acceptance zone of 90%. What is the value of alpha if we have a rejection zone with an upper tail? - MathMaster
Brand: MathMaster
Rating: 4.9 (256 reviews)

256

likes

1282 views

Answer to a math question We have a normal distribution with an acceptance zone of 90%. What is the value of alpha if we have a rejection zone with an upper tail?

$Expert avatar$

Brice

4.8

113 Answers

Respuesta = En una distribución normal, la zona de aceptación representa el área donde no rechazamos la hipótesis nula, mientras que la zona de rechazo es el área donde sí la rechazamos. El área total bajo la curva normal es siempre 1 (o 100%). ### Dado: - **Zona de aceptación** = 90% = 0,90 - **Zona de rechazo en la cola superior** (que corresponde al área fuera de la zona de aceptación) = 10% = 0,10 El nivel de significancia $ \alpha $ corresponde a la probabilidad de rechazar la hipótesis nula cuando es verdadera, que es exactamente el área en la zona de rechazo. Como la zona de rechazo está en la **cola superior** y es el 10% de la distribución, concluimos: - $ \alpha = 0.10 $ (o 10%). ### Conclusión: El valor de $ \alpha $ es **0,10** (o 10%).

Frequently asked questions (FAQs)

What is the measure of angle BAC if angle BAD = 30 degrees and angle DAC = 55 degrees?

What is the mode of the following numbers: 5, 5, 3, 4, 6, 2

Math question: 🧮 Can you factorize 24x^2 + 12x using the distributive property?

New questions in Mathematics

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places

(2x+5)^3+(x-3)(x+3)

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

What is the appropriate measurement for the weight of an African elephant?

sin 30

6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.