In the past, trout in Clearwater Creek were 14.5 inches long on average. A recent sample of 36 trout from the creek found a = 14.2, s = 3. a. Build a 99% CI for the current mean length of trout in Clearwater Creek. Round all intermediate calculations to two decimals, then construct the Cl and enter like this: (min,max). Note: if you use a built-in Cl command on a calculator/computer, you might get marked wrong due to rounding. Use the formulas given in the text/notes. b. Use your Cl to decide whether the mean length of trout in Clearwater Creek has changed from 14.5 inches. No, the mean has not changed since the old value of u is right in the middle of the new Cl O No, the mean has probably not changed since the new Cl contains the old value of u O Yes, the mean has probably changed since the new Cl does not contain the old value of u O Yes, the mean has probably changed since the old value of u is not right in the middle of the new CI
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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