The weights of a certain dog breed are approximately normally distributed with a mean of u = 56 pounds, and a standard deviation of o = 6 pounds. Fill in the indicated boxes. u = 56 o = 6 H-30 u-20 u-o μ+ 2σ μ+ 3σ μυσ 38 V 44 V 50 V 56 V 62 v 68 74 v A dog of this breed weighs 55 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of -0.03. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 0.03. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds
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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