Roniece Petway 11111 omework Week 9 Section 121 Exercise 3 E

Roniece Petway 11/11/1 omework: Week 9 Section 12.1 Exercise 3 Ex. Score: 0 of 1 pt HW Score: 81.31% (8.13 of 10 pts) 10 of 10 complete A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She hires an assistant to collect a random sample Neighborhood 1 Neighborhood 2 two of houses from each neighborhood and finds that the summary statistics for the Me ni = 40 56.7 s 1 = 7.28 n,-30 y2=45.7 s2 7.49 two neighborhoods are as shown. Complete parts a through c below H View an | Video a Find the estimated mean age difference, y, -y2, between the two neighborhoods The estimated mean age difference between the two neighborhoods is 11 years (Type an integer or a decimal.) b) Find the standard error of the estimated mean difference Textbook StatCrune Tech Help Ask My Iin More print SEG,-y)-years ase) (Round to two decimal places as needed.) Enter your answer in the answer box, then click Check Answer 1 part remaining Save

Solution

b)

Note that

SE(y1-y2) = sqrt(s1^2/n1 + s2^2/n2)

= sqrt(7.28^2/40 + 7.49^2/30)

= 1.787446036

= 1.79 [ANSWER]