oxshannon
Sep16-11, 05:55 PM
1. The problem statement, all variables and given/known data
The following set of analyses represent concentrations of chloride in blood serum (meq/L): 103,106,107,114. One value appears suspect. Determine if it can be rejected at the 95% confidence level.
2. Relevant equations
Mean
Standard Deviation:
http://standard-deviation.appspot.com/images/standard-deviation-2.png
T-Table (http://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf)
Degrees of Freedom = n -1 (n in this case being 4)
Confidence Interval:
http://www.measuringusability.com/images/CI.jpg
3. The attempt at a solution
So I found the mean to 107.5, and the standard deviation to be 4.65 (If anyone wants to see how I did this, just let me know).
Then using the table, I found that t95 = 3.182 (using that there are 3 degrees of freedom)
Using the confidence interval formula, I calculated the answer to be 107.5 +/- 7.40.
I'm stuck from here and in fact have no idea if I even started this problem properly. PLEASE HELP :(
The following set of analyses represent concentrations of chloride in blood serum (meq/L): 103,106,107,114. One value appears suspect. Determine if it can be rejected at the 95% confidence level.
2. Relevant equations
Mean
Standard Deviation:
http://standard-deviation.appspot.com/images/standard-deviation-2.png
T-Table (http://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf)
Degrees of Freedom = n -1 (n in this case being 4)
Confidence Interval:
http://www.measuringusability.com/images/CI.jpg
3. The attempt at a solution
So I found the mean to 107.5, and the standard deviation to be 4.65 (If anyone wants to see how I did this, just let me know).
Then using the table, I found that t95 = 3.182 (using that there are 3 degrees of freedom)
Using the confidence interval formula, I calculated the answer to be 107.5 +/- 7.40.
I'm stuck from here and in fact have no idea if I even started this problem properly. PLEASE HELP :(