A survey was conducted to determine the number of cats living in individual households. The results are summarized in the accompanying table. Complete parts a and b. Number of Cats Probability 0 0.33 1 0.29 2 0.22 3 0.11 4 0.05 a. Determine the mean number of cats per household. μ= (Type an integer or a decimal. Do not round.) b. Determine the standard deviation for the number of cats per household. σ= (Type an integer or decimal rounded to two decimal places as needed.)
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.
|
Number of Cats
|
Probability
|
|
|---|---|---|
|
0
|
0.33
|
|
|
1
|
0.29
|
|
|
2
|
0.22
|
|
|
3
|
0.11
|
|
|
4
|
0.05
|
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
