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1. Suppose the mean fire station response time in a city during a month in 2010 was x= 5.11 minutes based on n=117 calls. During the same month in 2000, the mean was x= 3.79 minutes based on n=95 calls. The sample standard deviations were s=3.3 minutes and s=2.9 minutes for 2010 and 2000, respectively. a. Calculate the estimated pooled variance. (7 points) b. Perform a pooled variance t-test of the null hypothesis that the mean response time in 2010 and 2000 were equal, versus the two-sided alternative that they are different at the 0.05 significance level. Report the test statistic, degrees of freedom and conclusion. (7 points)