You may need to use the appropriate appendix table or technology to answer this question.

The makers of a soft drink want to identify the average age of its consumers. A sample of 56 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (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 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 narrower.

-As the sample size decreases and all else stays the same, the confidence interval becomes narrower.

-As the confidence level decreases and all else stays the same, the confidence interval becomes wider.

-Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.