Question: Planners in Ontario's Durham region compiled data for the value of building permits. The mean for all building permits (in thousands of dollars) was 97.

Planners in Ontario's Durham region compiled data for the value of building permits. The mean for all building permits (in thousands of dollars) was 97. But for a random sample of 38 permits in the smaller Durham region communities of Scugog, Brock, Clarington, and Uxbridge, the mean value was 113.6, with a standard deviation of 70.67 (based on data in the Durham Business News, June 1998). Using the 0.05 level of significance, test the hypothesis that these smaller communities have a mean value for building permits that is different from the regional mean of 97.

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