Knowing how to write two-column geometry proofs provides a solid basis for working with theorems. Practicing these strategies will help you write geometry proofs easily in no time:

Make a game plan. Try to figure out how to get from the givens to the prove conclusion with a plain English, commonsense argument before you worry about how to write the formal, two-column proof.

Look up how to do geometry proofs and the first thing that should pop up if your on google should be a site called dummies.com

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3 years ago

Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.

pentagon [3]

Answer:

$\bar X= \mu = 25$

$\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where $\mu=25$ and $\sigma=7$

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean $\bar X$ . We can assume that the distribution for $\bar X$ is approximately normal and given by: