The article Most Canadians Plan to Buy Treats, Many Will Buy Pumpkins, Decorations and/ or Costumes (Ipsos-Reid,

Question:

The article “Most Canadians Plan to Buy Treats, Many Will Buy Pumpkins, Decorations and/ or Costumes” (Ipsos-Reid, October 24, 2005) summarized a survey of 1,000 randomly selected Canadian residents. Each individual in the sample was asked how much he or she anticipated spending on Halloween. The resulting sample mean and standard deviation were $ 46.65 and $ 83.70, respectively.
a. Explain how it could be possible for the standard deviation of the anticipated Halloween expense to be larger than the mean anticipated expense.
b. Is it reasonable to think that the of anticipated Halloween expense is approximately normal? Explain why or why not.
c. Is it appropriate to use the one-sample t confidence interval to estimate the mean anticipated Halloween expense for Canadian residents? Explain why or why not.
d. If appropriate, construct and interpret a 99% confidence interval for the mean anticipated Halloween expense for Canadian residents.
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