Here are the red blood cell counts in 106 cells per microlit
Here are the red blood cell counts (in 106 cells per microliter) of a healthy person measured on each of 15 days.
Find a 95% confidence interval estimate of ?, the true mean red blood cell count for this person during the period of testing. (Round your answers to three decimal places.)
| 5.3 5.2 4.9 5.3 5.5 |
| 5.2 5.5 5.3 5.2 5.2 |
| 5.3 4.8 5.4 5.2 5.1 |
Solution
sample mean=16.98333
sample standard deviation =0.3188521
sample size =15
The degree of freedom =n-1=15-1=14
Given a=1-0.95=0.05, t(0.025, df=14) =2.14 (from student t table)
So the lower bound is
xbar - t*s/vn =16.98333-2.14*0.3188521/sqrt(15)=16.807
So the upper bound is
xbar + t*s/vn =16.98333+2.14*0.3188521/sqrt(15)=17.160
