A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. TheHouse Datashows the house ages (in years). Estimate the true mean difference in the house ages for the two neighborhoods using a 95% confidence interval. The relevant JMP output is provided below.

Source: Sharpe, N., De Veaux, R. & Velleman, P. (2015).Business Statistics. (3^rd edition). M.A.: Pearson.

Define the parameters that we are estimating. Be sure to include the correct symbol.

Identify the order of subtraction used to create this confidence interval.

Interpret the 95% confidence interval in context.

if we conduct a hypothesis test to determine if there is a difference in the true mean true house age for the two neighborhoods, what would our decision be?