From time to time, unknown to its administrative staffs, the Ghana research department observes the productivity of various administrative staffs. The research manager observed each of the four administrative staffs at the main campus for a certain number of hours. The following table gives the number of students and clients attended to by the four administrative staffs during each of the observed hours. Table Admin One Admin Two Admin Three Admin Four 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 13 18 At the 5% significance level, test the null hypothesis that the mean number of students and clients served per hour by each of these four administrative staffs is the same. Assume that all the assumptions required to apply the one-way Analysis of Variance procedure hold true
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.
QUESTION :
From time to time, unknown to its administrative staffs, the Ghana research department observes the productivity of various administrative staffs. The research manager observed each of the four administrative staffs at the main campus for a certain number of hours. The following table gives the number of students and clients attended to by the four administrative staffs during each of the observed hours. Table
|
Admin One |
Admin Two |
Admin Three |
Admin Four |
|
19 |
14 |
11 |
24 |
|
21 |
16 |
14 |
19 |
|
26 |
14 |
21 |
21 |
|
24 |
13 |
13 |
26 |
|
18 |
17 |
16 |
20 |
|
|
13 |
18 |
|
At the 5% significance level, test the null hypothesis that the mean number of students and clients served per hour by each of these four administrative staffs is the same. Assume that all the assumptions required to apply the one-way Analysis of Variance procedure hold true.
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