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. The accompanying table shows the data for each sample(in years). Complete parts a through e below.

Neighborhood 1 : 64, 63, 48, 46, 45, 52.

Neighborhood 2 : 52, 36, 37, 41, 54, 50.

a) Find the sample means for each neighborhood.

y1=

years

y2=

years

(Type integers ordecimals.)

b) Find the estimated difference of the mean ages of the twoneighborhoods, y1y2.

The estimated difference is

years.

(Type integer or adecimal.)

c) Find the sample variances for each neighborhood.

s21=

s22=

(Type integers ordecimals.)

d) Find the sample standard deviations for each neighborhood.

s1=

6.07

6.07 years

s2=

years

(Round to two decimal places asneeded.)

e) Find the standard error of the difference of the two sample means.

SE(y1y2)=

years

(Round to two decimal places asneeded.)