The makers of a soft drink want to identify the average age of its consumers. A sample of 52 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. X years to 25.394 X years confidence interval for the true average age (in years) of the consumers. x years to 24.901 X years (b) Construct an 80% (c) Discuss why the 95% and 80% confidence intervals are different. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.

Given information:

The sample size is $n=52$.

The sample mean is $\overline{x}=24$.

The sample standard deviation is $s=5$.