Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:
The z-score is:
Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:
The z-score is:
Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1