The Makers of a Soft Drink Want to Identify the Average

Essay

The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age in the sample was 22.5 years with a standard deviation of 5 years. Assume the population of consumer ages is normally distributed.
a.Construct a 95% confidence interval for the average age of all the consumers.
b.Construct an 80% confidence interval for the average age of all the consumers.
c.Discuss why the 95% and 80% confidence intervals are different.