In: Statistics and Probability
As part of a research program for a new cholesterol drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL (low-density lipoprotein) cholesterol of men. The following data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a 95% confidence interval to estimate the average LDL cholesterol level of a 30 year old man.
| Age | Cholesterol | 
| 22 | 140 | 
| 36 | 180 | 
| 27 | 156 | 
| 31 | 200 | 
| 41 | 159 | 
| 31 | 144 | 
| 42 | 205 | 
UCL=
LCL=
The statistical software output for this problem is:

Hence,
UCL = 187.90
LCL = 138.52