The ages of all employees of a specific company are given in the figure below. Age (years) Number of Employees 18 ≤ x < 22 2,000 22 ≤ x < 28 8,900 28 ≤ x < 35 6,800 35 ≤ x < 45 2,200 45 ≤ x < 65 1,700 (a) Viewing the data as a sample of all employees of a larger conglomerate (the conglomerate owns several subsidiary companies), find the sample standard deviation, s, of the data. (Round your answer to four decimal places.) s = yr (b) Viewing the data as the entire population of all employees of a single corporation (the corporation has no subsidiaries or affiliates), find the population standard deviation, ?, of the data. (Round your answer to four decimal places.) ? = yr
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.
The ages of all employees of a specific company are given in the figure below.
| Age (years) | Number of Employees |
|---|---|
|
18 ≤ x < 22
|
2,000 |
|
22 ≤ x < 28
|
8,900 |
|
28 ≤ x < 35
|
6,800 |
|
35 ≤ x < 45
|
2,200 |
|
45 ≤ x < 65
|
1,700 |
(b) Viewing the data as the entire population of all employees of a single corporation (the corporation has no subsidiaries or affiliates), find the population standard deviation, ?, of the data. (Round your answer to four decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
