How long do houses for sale remain on the market? One survey reported that, in Sydney, houses for sale are on the market for an average of 112 days. Of course, the length of time varies by the market.

Suppose random samples of 13 houses in Sydney and 11 houses in Brisbane that are for sale are traced. The data shown here represent the number of days each house was on the market before being sold. Use the given data and a 1% level of significance to determine whether the population variance for the number of days until sold is different in Sydney from that in Brisbane. Assume that the number of days houses for sale are on the market are normally distributed for both cities.

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Sydney Brisbane 132 126 118 56 138 94 85 69 131 161 113 67 127 133 81 54 99 119 94 137 126 88 93 134