Choose the correct distribution to use.  The distribution of scores is normal and you know the population standard deviation. Regardless of sample size you use: Select an answer z-score t-score Binomial Geometric Poisson None  The original distribution is NOT normal, you know the population standard deviation and your sample size is large (greater than 30), then you use: Select an answer z-score t-score Binomial Geometric Poisson None  The original distribution is normal, you do NOT know the population standard deviation. You do have a sample standard deviation. You would then use: Select an answer z-score t-score Binomial Geometric Poisson None  The original distribution is NOT normal, you do NOT know the population standard deviation and your sample size is small (less than 30), then you use: Select an answer z-score t-score Binomial Geometric Poisson None  The original distribution is discrete, you know the probability of success and you are looking for the probability of getting xx  successes on nn attempts, then you use: Select an answer z-score t-score Binomial Geometric Poisson None

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Choose the correct distribution to use. 

The distribution of scores is normal and you know the population standard deviation. Regardless of sample size you use:

Select an answer z-score t-score Binomial Geometric Poisson None 

The original distribution is NOT normal, you know the population standard deviation and your sample size is large (greater than 30), then you use:

Select an answer z-score t-score Binomial Geometric Poisson None 

The original distribution is normal, you do NOT know the population standard deviation. You do have a sample standard deviation. You would then use:

Select an answer z-score t-score Binomial Geometric Poisson None 

The original distribution is NOT normal, you do NOT know the population standard deviation and your sample size is small (less than 30), then you use:

Select an answer z-score t-score Binomial Geometric Poisson None 

The original distribution is discrete, you know the probability of success and you are looking for the probability of getting xx  successes on nn attempts, then you use:

Select an answer z-score t-score Binomial Geometric Poisson None 

Expert Solution
Step 1
  • If the true population distribution of a random variable, say, x, is normal with parameters, mean μ and standard deviation σ, then, whatever be the size (n) of the sample taken from the population, the distribution of the sample mean is also normal, with parameters, mean μ and standard deviation σ/√n.
  • Even if the true population distribution of a random variable, say, x, is not normal and has population mean μ, standard deviation σ, then, for a large size (n ≥ 30) of a sample taken from the population, the distribution of the sample mean is approximately normal, with parameters, mean μ and standard deviation σ/√n (by Central Limit Theorem).
  • If the true population distribution of a random variable, say, x, is not normal and has population mean μ, standard deviation σ, then, for a small size (n < 30) of a sample taken from the population, the distribution of the sample mean cannot be said to be approximately normal.

 

1.

The distribution of scores is normal and you know the population standard deviation. Regardless of sample size you use:

z-score  

2.

The original distribution is NOT normal, you know the population standard deviation and your sample size is large (greater than 30), then you use:

z-score 

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