In: Statistics and Probability
4.2 The average age of a sample of 17 South African women who attend yoga classes was found to be 31 years, with a standard deviation of 3.5 years. Construct a 90% confidence interval for the true average age of all South African women who attend yoga classes. Interpret your answer.
| 
 Confidence Level  | 
 Z - Limits  | 
| 
 90%  | 
 ± 1.645  | 
| 
 95%  | 
 ±1.96  | 
| 
 99%  | 
 ±2.58  | 
Given data,
n = 15,
Average(x)=31
standard deviation(S)=3.5
90% confidence interval is given by
= 
                                                               
= 
= (29.461,32.538)