The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is selected. 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.
a. 19.836 to 25.164
b. 20.824 to 24.176
c. As the level of confidence increases, the confidence interval gets wider.
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