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Question: 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)?

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