For each of these questions explain your answers i.e. show your reasoning. Q 2(a) The following table gives the mean hourly rate and percentage of staff working in various departments of an organisation. Each department of this organisation is identified by its floor number e.g. 1,2,3,4,5,6 or 7. 2 Department 1 Hourly rate 21 (€) % staff 3 4 7 11 107 31 42 46 19 10 11 10 15 18 19 17 (i) What are the mean and the variance of the hourly rate for all the departments? (ii) What is the probability that a person works in department 1, 2 or 3 if their hourly rate is below €40?|
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.
Step by step
Solved in 2 steps
