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 : 46, 56, 67, 53, 57, 45

Neighborhood 2: 51, 56, 54, 42, 33, 52

a) Find the sample means for each neighborhood. (Type integers ordecimals.)

y1= __ years

y2= __ years

b) Find the estimated difference of the mean ages of the twoneighborhoods, y1y2. (Answer is an integer or adecimal.)

The estimated difference is __ years.

c) Find the sample variances for each neighborhood. (Type integers ordecimals.)

s21= __

s22= __

d) Find the sample standard deviations for each neighborhood. (Round to two decimal places asneeded.)

s1= __ years

s2= __ years

e) Find the standard error of the difference of the two sample means. (Round to two decimal places asneeded.)

SEy1y2= __ years

Please show all work. Thank you!