In: Statistics and Probability
EXAMPLE:
You are investigating how the number of coffees bought per month differs based on how many months someone has been a nurse. The population mean for all nurses in the hospital was 74, and the standard deviation was 14. A sample of 20 randomly selected nurses from one unit had a mean of 66.
The example is appropriate because it is comparing the mean number of coffees bought by a single sample of nurses on one unit to the mean number bought by the hospital population of nurses.
c) Calculate both the 99% confidence interval and effect size for your example, showing your work for each.
Solution:
Given
n = 20 sample size of nurses in the hospital.
. Population mean for all nurses in the hospital.
population standard for all nurses in the hospital.
. Sample mean for all nurses in the hospital.
. Level of significance
The 99% confidence interval for population mean for all nurses in the hospital is
. From Z table.
( 57.92332, 74.076677)
( 57.9233, 74.0767)
The 99% confidence interval for population mean for all nurses in the hospital is ( 57.9233, 74.0767)
Now find effect size d
Effect size d= -0.571428