Use the following description for Questions 1-3. A consumer products company uses direct mail marketing for its advertising campaigns. The company has three different designs (1, 2, and 3) for a new brochure designed for customers in four regions (NE = north east, NW = north west, SE = south east, and SW = south west). The company decides to test the design types by mailing samples of each design to potential customers in each region. They repeat the direct mailing campaign 3 times for each design type and region combination and record the number of responses they receive (denoted as Response). The company wonders if the design type and region have an impact on the number of responses they get. Question 1) What type of statistical model would you use to test if the design type and region have an impact on the number of survey responses? A Two sample z test B Two sample t test C One-way ANOVA D Two-way ANOVA QUESTION 2 What is/are the factors? What are its/their levels? A Factor is region. Region has 4 levels (NE, NW, SE, SW). B Factors are design and region. Design has 3 levels (Design type 1-3). Region has 4 levels (NE, NW, SE, SW). C Factors are design and number of survey responses. Design has 3 levels (Design type 1-3). Number of survey responses has 12 levels (Design type 1-3 for each region NE, NW, SE, SW). D Factors are region and number of survey responses. Region has 4 levels (NE, NW, SE, SW). Number of survey responses has 12 levels (Design type 1-3 for each region NE, NW, SE, SW).

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 9P

Use the following description for Questions 1-3.
A consumer products company uses direct mail marketing for its advertising campaigns. The company has three different designs (1, 2, and 3) for a new brochure designed for customers in four regions (NE = north east, NW = north west, SE = south east, and SW = south west). The company decides to test the design types by mailing samples of each design to potential customers in each region. They repeat the direct mailing campaign 3 times for each design type and region combination and record the number of responses they receive (denoted as Response). The company wonders if the design type and region have an impact on the number of responses they get.

Question 1)
What type of statistical model would you use to test if the design type and region have an impact on the number of survey responses?

A

Two sample z test

B

Two sample t test

C

One-way ANOVA

D

Two-way ANOVA

What is/are the factors? What are its/their levels?

	A	Factor is region. Region has 4 levels (NE, NW, SE, SW).
	B	Factors are design and region. Design has 3 levels (Design type 1-3). Region has 4 levels (NE, NW, SE, SW).
	C	Factors are design and number of survey responses. Design has 3 levels (Design type 1-3). Number of survey responses has 12 levels (Design type 1-3 for each region NE, NW, SE, SW).
	D	Factors are region and number of survey responses. Region has 4 levels (NE, NW, SE, SW). Number of survey responses has 12 levels (Design type 1-3 for each region NE, NW, SE, SW).