Question: The Gatsby College student newspaper, The Gazette Coronet, conducted a survey of regional winter recreation resorts about how many days each was in operation with snow-covered outdoor terrain last season, which was a reasonably typical winter weather-wise in the area.  From weather bureau records, the population variability in the number of days with snow cover was summarized as a standard deviation of 14 days.  A random sample of 49 resorts yielded a sample mean of 75 operational days with snow-covered terrain.  Estimate the true (population) mean number of average days with snow-covered terrain with 88% confidence, expressing the results as an interval.

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