Sports and Leisure
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 σV = 2.7.
a. Find a 99% confidence interval for the true mean powder depth at Breckenridge Ski Resort.
b. Find a 99% confidence interval for the true mean powder depth at Vail Ski Resort.
c. Use the results in parts (a) and (b) to determine whether there is any evidence to suggest a difference in the true mean powder depths at these two ski resorts.
d. What assumptions were necessary to construct the confidence intervals in parts (a) and (b)?