Question

In: Statistics and Probability

EXAMPLE: You are investigating how the number of coffees bought per month differs based on how...

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.

Solutions

Expert Solution

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


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