If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: - 2.00, - 1.00, 0, 1.00, 2.00? Why? O A. The z score of - 1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score. O B. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. O C. The z score of - 2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. O D. The z score of 0 is most preferable because it corresponds to a test score equal to the mean. O E. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: - 2.00, - 1.00, 0, 1.00, 2.00? Why? O A. The z score of - 1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score. O B. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. O C. The z score of - 2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. O D. The z score of 0 is most preferable because it corresponds to a test score equal to the mean. O E. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.

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Concept explainers

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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Question

If your score on your next statistics test is converted to a z score, which of these
scores would you prefer: - 2.00, - 1.00, 0, 1.00, 2.00? Why?
O A. The z score of - 1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score.
O B. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.
OC. The z score of - 2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores.
O D. The z score of 0 is most preferable because
corresponds to a test score equal to the mean.
O E. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.

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