Questions 8 – 10 : Read each of the research descriptions and decide which of th
ID: 3181124 • Letter: Q
Question
Questions 8 – 10: Read each of the research descriptions and decide which of the following would be the most appropriate display of the data collected from the research.
(A) side-by-side boxplots (B) a histogram (C) a scatterplot (D) a two-way table
Write the letter of your choice AND an explanation of why you think it is correct. Your explanation should include
a) identification of the explanatory and response variables
and
b) what type of variables they are.
Answer and Explanation
8. A researcher suspects that males and females prefer different colors in cars. He surveys 100 potential car buyers and records their gender and their color preference.
9. A market researcher for a cereal company thinks that the amount of shelf space the cereal gets in a supermarket impacts the weekly sales of the product. He selects a sample of 30 supermarkets and measures the amount of shelf space (in inches) and finds out the weekly sales (in $).
10. A different researcher at the same cereal company thinks that the shelf the cereal is displayed on (top, middle, or bottom) is more important in influencing weekly sales. She collects data from 30 supermarkets about which shelf the product is on and the weekly sales (in $).
Answer and Explanation
8. A researcher suspects that males and females prefer different colors in cars. He surveys 100 potential car buyers and records their gender and their color preference.
9. A market researcher for a cereal company thinks that the amount of shelf space the cereal gets in a supermarket impacts the weekly sales of the product. He selects a sample of 30 supermarkets and measures the amount of shelf space (in inches) and finds out the weekly sales (in $).
10. A different researcher at the same cereal company thinks that the shelf the cereal is displayed on (top, middle, or bottom) is more important in influencing weekly sales. She collects data from 30 supermarkets about which shelf the product is on and the weekly sales (in $).
Explanation / Answer
8-As we have to compare male and females across various color preferences and gender and color are both nominal variables, so a two-way table will be appropriate.
So, Answer=D
9-As amount of shelf space and weekly sales are quantitative variables, so their relationship is represented through scatter plot
So, answer=C
10-As weekly sales is quantitative and shelf is nominal variable. So side-by-side boxplot will be appropriate
So, answer=A
Part-a
For 8th explanatory variable=Gender
Response variable=Color preference
For 9th explanatory variable= Shelf space
Response variable = weekly sales
For 10th explanatory variable= Shelf position (top/middle/bottom)
Response variable = weekly sales
Part-b
In 8th bothgender and color preference are nominal variables
In 9th both shelf space and weekly sales are ratio scale quantitative variables
For 10th shelf position is nominal and weekly sales is ratio scale quantitative variable.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.