Suppose you are considering pursuing a career as a winemaker. In addition to considering how the required skills and career potential relate to your own
personal attributes and aspirations, you would like to know how much an early career winemakers can expect to make. In order to estimate the average
annual salary, you take a random sample of salaries associated with current jobs advertised by SEEK for early career winemaker positions in New
Zealand. The data is reproduced in the table below.
Assistant Winemaker
$71,300
$76,000
$74,200
$75,100
$68,700
$72,000
$73,500
$68,700
$70,200
$62,500
$73,600
$74,500
$75,700
$73,700
$67,200
$79,000
$75,200
$64,000
$80,500
$72,800
Assuming that the data is normally distributed, calculate a 95% confidence interval for the average annual salary for early career winemakers in New
Zealand. Interpret your confidence interval in terms that someone unfamiliar with statistics can understand.
