Consider a value to be significantly low if its z score less than or equal to −2 or consider a value to be significantly high if its z score is greater than or equal to 2.   A test is used to assess readiness for college. In a recent​ year, the mean test score was 20.7 and the standard deviation was 4.7. Identify the test scores that are significantly low or significantly high. What test scores are significantly​ low? Select the correct answer below and fill in the answer​ box(es) to complete your choice.     A. Test scores that are between nothing and nothing. ​(Round to one decimal place as needed. Use ascending​ order.)   B. Test scores that are greater than nothing. ​(Round to one decimal place as​ needed.)   C. Test scores that are less than nothing. ​(Round to one decimal place as​ needed.)   What test scores are significantly​ high? Select the correct answer below and fill in the answer​ box(es) to complete your choice.   A. TEST SCORES THAT ARE GREATER THAN _______  ​(Round to one decimal place as​ needed.)   B. TEST SCORES THAT ARE LESS THAN _____ ​(Round to one decimal place as​ needed.)   C. TEST SCORES THAT ARE BETWEEN _______ AND ______  ​(Round to one decimal place as​ needed.)

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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.