aortiH
2020-10-27
Answered

What is the best measure of central tendency for 2 nominal level variables and why?

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crocolylec

Answered 2020-10-28
Author has **100** answers

Step 1

Nominal scales are used, without any quantitative significance, to label variables. One might clearly call "labels" the "nominal" scales. A nominal scale represents a group attribute that doesnt

Nominal scales are used, without any quantitative significance, to label variables. One might clearly call "labels" the "nominal" scales. A nominal scale represents a group attribute that doesnt

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The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season.

$\begin{array}{|cc|}\hline x& P(x)\\ 0& 0.167\\ 1& 0.3289\\ 2& 0.2801\\ 3& 0.149\\ 4& 0.0382\\ 5& 0.0368\\ \hline\end{array}$

The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?

a) Compute the theoretical mean of the random variable X for the given probability distribution.

$\mu =?$

b) Compute the theoretical standard deviation of the random variable X for the given probability distribution.

$\sigma =?$

c) Approximate the mean of the random variable X based on the simulation for 25 games.

$\stackrel{\u2015}{X}=?$

d) Approximate the standard deviation of the random variable X based on the simulation for 25 games.

$S=?$

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c. An observation has a z-score of 2.9. Roughly speaking, what is the relative standing of the observation?

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