Sampling and the Binomial Distribution. Refer to the discussion on the binomial approximation to the hypergeometric distribution. a. If sampling is with replacement, explain why the trials are independent and the success probability remains the same from trial to trial—always the proportion of the population that has the specified attribute. b. If sampling is without replacement, explain why the trials are not independent and the success probability varies from trial to trial.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Sampling and the Binomial Distribution. Refer to the discussion on the binomial approximation to the hypergeometric distribution.
a. If sampling is with replacement, explain why the trials are independent and the success
b. If sampling is without replacement, explain why the trials are not independent and the success probability varies from trial to trial.
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