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)