i. What is the median waiting time? ii. Determine the mean and standard deviation waiting time for these data
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 supervisor of a sports store is concerned that a larger number of customers waiting to be served in parts of the day. He is considering changing the staffing arrangements if he finds this to be true. He observed 16 customers and recorded data on their waiting time in minutes. He plans to do the same for a sample of customers later in the day. In the meantime, he would like to calculate the following statistics based on the data collected first. The waiting times in minutes follows.
9 14 11 10 10 8 10 9 14 8 15 12 9 9 7 9
i. What is the
ii. Determine the mean and standard deviation waiting time for these data
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