For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample? (A) The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies. (B) The distribution of weights is approximately normal because the standard deviation is less than the mean. (C) The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean. (D) The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean. (E) The distribution of weights has a median that is greater than the mean.
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.
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