A developer collects a random sample of the ages of houses from two neighborhoods and finds that the summary statistics for each are as shown. Assume that the data. come from a distribution that is Normally distributed Complete parts a through d below Neighborhood 1 Neighborhood 2 n=35 n=30 Y = 55.2 $ = 7.56 a) Find a 95% confidence interval for the mean difference. , -, in ages of houses in the two neighborhoods if df 61.0 (Round to two decimal places as needed.) b) A 95% confidence interval for the mean difference in ages of houses in the two neighborhoods when n = n = 6 is (-0.58.20 54). Why is the confidence interval found in part narrower than this one? A. The sample means are significantly larger when there are more data values OB. The critical value of the confidence interval is larger for the original confidence interval OC. The sample sizes are larger c) Is 0 within the confidence interval found in parta? 1/2=46.6 $2 = 7.73 No Yes d) What does the confidence interval suggest about the null hypothesis that the mean difference is 07 A. It suggests that we should reject Ho since 0 is not a plausible value for the true mean difference B. It suggests that we should fail to reject He since 0 is not a plausible value for the true mean difference. C. It suggests that we should reject Ho since 0 is a plausible value for the true mean difference. n