MATH 225N Week 6 Discussion Confidence Intervals
University:
Chamberlain University
MATH 225N Week 6 Discussion Confidence Intervals
Paper Instructions
Initial Post Instructions
Thinking of the many variables tracked by hospitals and doctors’ offices, confidence intervals could be created for population parameters (such as means or proportions) that were calculated from many of them. Choose a topic of study that is tracked (or that you would like to see tracked) from your place of work. Discuss the variable and parameter (mean or proportion) you chose, and explain why you would use these to create an interval that captures the true value of the parameter of patients with 95% confidence.
Consider the following;
- How would changing the confidence interval to 90% or 99% affect the study?
- Which of these values (90%, 95%, or 99%) would best suit the confidence level according to the type of study chosen?
- How might the study findings be presented to those in charge in an attempt to affect change at the workplace?
Follow-Up Post Instructions
Respond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification.
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Sample Answer
I took a data set of n = 35 values for Height measured in Inches and I used our Week 6 Excel spread sheet Calculator ( please see Week 6 Files area after first clicking Files along the left of the computer screen ) and I calculated 4 confidence intervals with the same sample mean and same sample size and same population standard deviation.
The 4 confidence levels were ( respectively ) 99% 95% 90% 85%
Notice that the 4 margins of error were ( respectively ) 1.57 inches 1.19 inches 1.00 inches 0.88 inches
If this is not a coincidence – that is – if this trend / pattern holds up in general ( at least for the confidence intervals for one population mean that we study and learn about in this course ) then how would you put that pattern / trend into words ??
In other words, all other things being equal ( the same or “fixed” ) , what happens to the margin of error when the confidence level is increased ?? ( or decreased ?? )
Thanks Friends and please see attached ( see the tab along the bottom for the z confidence interval – sample size larger than 30 – the left most tab along the bottom of the spread sheet ) 😉
The original height data used are attached to the next Post
That is where the sample mean and population standard deviation came from.
I used population standard deviation rather than sample standard deviation because the sample size of n = 35 was larger than 30
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