a ​95% confidence interval for the mean difference in ages of houses in the two neighborhoods was . is this result different from the result of the​ pooled-t confidence​ interval? explain why or why not. choose the correct answer below. a. yes. since the standard deviations are fairly​ close, the two methods will result in essentially the same confidence intervals and hypothesis tests. b. no. since the means are fairly​ close, the two methods will result in essentially the same confidence intervals and hypothesis tests. c. no. since the standard deviations are fairly​ close, the two methods will result in essentially the same confidence intervals and hypothesis tests. d. yes. since the means are fairly​ close, the two methods will result in essentially the same confidence intervals and hypothesis tests.