A survey is cоnducted аmоng first-time hоmebuyers to estimаte the аverage age at which individuals purchase their first home.For a sample of 15 first-time homebuyers, the following ages (in years) were recorded: 26.5 30.2 27.8 24.3 29.1 33.7 28.4 31.9 25.6 26.8 34.1 29.7 28.9 32.5 27.3 1. Find the sample mean. Round to 2 decimal places: _______ 2. Find the sample standard deviation. Round to 4 decimal places: _______ 3. Fill in the formula blanks below with specific values for this problem (not symbols) to construct a 99% confidence interval. (a) _______ (b) _______ (c) _______ (d) _______ (e) _______ (f) _______ (g) _______ (h) _______ 4. Using the formula from part 3, calculate the 99% confidence interval. Round each answer to the nearest hundredth (2 decimal places). _______ years to _______ years. 5. Find the margin of error for this confidence interval. Do not round. _______