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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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
ola
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
Part 3 of 4
(c) Joe caught a one-year-old flounder whose length had a z-score of 1.3. How long was this fish? Round the answer to at
least one decimal place.
The length of Joe's fish is
millimeters.
Part 4 of 4
(d) Terry caught a two-year-old flounder whose length had a z-score of -0.6. How long was this fish? Round the answer to
at least one decimal place.
The length of Terry's fish is
millimeters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F186d646d-4cdc-4eaa-acc3-a65f520b9e9b%2Fc33d59e9-7df5-4212-8f3e-82bcc81adb89%2F591zkvs_processed.jpeg&w=3840&q=75)
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