Provincial governments across Canada have had to re-examine their delivery of services, such as health care, to avoid expensive duplication, and yet provide fair access to their citizens. The following table is based on one random sample of hospitals in New Brunswick and another in Nova Scotia, and shows the total number of beds in each hospital [Guide to Canadian Healthcare Facilities, 1998-99, Vol. 6, Canadian Healthcare Association, Ottawa). At the 0.05 significance level, test the claim that the two given samples come from populations with the same variance. If the variances are different, could this have implications for the equity of services around each province?
Explain why it would be useful to know the population served by each hospital in order fully to answer the preceding question.

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ew Brunswick 23 47 153 47 397 15 12 500 15 56 Nova Scotia 15 13 27 136 8 26 85 311 12 132 398