A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 119 with standard deviation of 13, and the mean length of two-year-old spotted flounder is 165 with a standard deviation of 28. The distribution of flounder lengths is approximately bell-shaped. Part 1 of 4 (a) Anna caught a one-year-old flounder that was 145 millimeters in length. What is the z-score for this length? Round the answers to at least two decimal places. Anna's z-score is Part 2 of 4 (b) Luis caught a two-year-old flounder that was 190 millimeters in length. What is the z-score for this length? Round the answers to at least two decimal places. Luis's z-score is &O 国 @山园
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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