# Question

Guest ages at a Vail Resorts ski mountain typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5 years.

(a) Even though the population distribution of age is - right-skewed, what will be the shape of the distribution of X, the average age, in a random sample of 40 guests?

(b) From a random sample of 40 guests, the sample mean is 36.4 years. Calculate a 99 percent confidence interval for, the true mean age of Vail Resorts ski mountain guests.

(a) Even though the population distribution of age is - right-skewed, what will be the shape of the distribution of X, the average age, in a random sample of 40 guests?

(b) From a random sample of 40 guests, the sample mean is 36.4 years. Calculate a 99 percent confidence interval for, the true mean age of Vail Resorts ski mountain guests.

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