The lifespan of the Ebola virus on flat dry surfaces has a normal distribution with μ = 1992.3 minutes and σ = 72.8 minutes. You monitor a random sample of size n = 212 . What is the mean of the distribution of sample means?

Respuesta :

Answer:

By the Central Limit Theorem, the mean of the distribution of sample means is 1992.3 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sample means with size n of at least 30 can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

Mean of the population:

1992.3 minutes

What is the mean of the distribution of sample means?

By the Central Limit Theorem, the mean of the distribution of sample means is 1992.3 minutes.

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