Question

Two competing ski slopes in Colorado advertise their powder base each day in an effort to attract more skiers. A random sample of the powder base depth (in inches) was obtained for each ski resort on days during a recent winter. Assume σB=2.5 and =2.7.

Find a 99% confidence interval for the true mean powder depth at Breckenridge Ski Resort.
Report your answer for the confidence interval in the form "(lower bound, upper bound)" with each bound rounded to four decimal places. Avoid rounding within calculations.99% Confidence interval:

Answer 1

To find a 99% confidence interval for the true mean powder depth at Breckenridge Ski Resort, we can use the formula for the confidence interval of a population mean when the population standard deviation is known. Substituting the values into the formula: