The makers of a soft drink want to identify the average age of its consumers. A sample of 54 consumers was taken. The average age in the sample was 23 years with a standard deviation of 3years. (Round your answers to three decimal places.)

(a)

Construct a 95% confidence interval for the true average age (in years) of the consumers.

years to years

(b)

Construct an 80% confidence interval for the true average age (in years) of the consumers.

years to years

(c)

Discuss why the 95% and 80% confidence intervals are different.

As the confidence level decreases and all else stays the same, the confidence interval becomes narrower.As the sample size decreases and all else stays the same, the confidence interval becomes wider. As the confidence level decreases and all else stays the same, the confidence interval becomes wider.As the sample size decreases and all else stays the same, the confidence interval becomes narrower.Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.