(5 points) The mayor of a remote town wanted to investigate the effectiveness of advertisements broadcast through the local television channel. More specifically, the mayor wanted to investigate the effect of the length and the repetition of the television advertisements broadcast on the town's residents desire to buy a locally manufactured James & Maria brand radio. Eighty residents viewed a 60-minute television program that showed at least one commercial for James & Maria radios during advertisement breaks. Some residents saw a 15-second commercial, some saw a 30-second commercial, others a 60-second commercial. The same commercial was shown two, four, or six times during the program. After the viewing, each resident was asked to rate their craving for a James & Maria radio from the set {"Don't want to buy", "Neutral", "Want to buy","Need to buy"}.

Part I
What kind of study is this?

A. An observational study because there was no control group.
B. An experiment because the study investigator controlled the amount of exposure to advertisements the participating residents received.
C. An experiment because the study investigator compared the degree of craving between different amounts of exposure to advertisements in the study.
D. An observational study because the study investigator observed the residents' ratings on their craving for a James & Maria radio.
E. None of the above
Part II
What is/are the response variable(s) in the study?

A. Two, four, or six commercials during the 60-minute television program.
B. The 60-minute television program.
C. The 80 residents.
D. Craving for a James & Maria radio.
E. The length and repetition of the TV advertisements
Part III
If the investigator would like to compare the distributions of the response variable across different lengths and frequencies of commercials, which of the following displays is appropriate?

A. Histogram
B. Scatter plot
C. Stem-and-leaf plot
D. Side-by-side boxplots
E. Contingency table
Part IV
What is/are the factor(s) in the study?

A. Craving for a James & Maria radio
B. The length of the television program
C. Two, four, or six commercials during the 60-minute television program
D. 5-second, 30-second and 60-second commercials.
E. Length and frequency of the commercial.
F. The number of residents.
Part V
(c) How many treatments are there in the study? Enter your answer as a number (e.g. 1), not as text.
ANSWER
3

Wow, 80 residents all craving a James & Maria radio? That's a lot of people wanting some tunes! Let's see if I can help answer your questions in a fun and entertaining way.

Part I: What kind of study is this?
Well, it looks like the mayor wants to investigate the effect of advertisements on the residents' desire to buy radios. So, is it an observational study or an experiment? I'll have to go with C. An experiment because the mayor wants to compare the degree of craving based on different amounts of exposure to advertisements. That mayor sure knows how to get some data!

Part II: What is/are the response variable(s) in the study?
Ah, the response variable is what we're interested in - what do the residents desire? Is it the length of the TV program, the number of residents, or something else? Nope, it's all about their craving for a James & Maria radio. So, the answer is D. Craving for a James & Maria radio. Those radios must be music to their ears!

Part III: What display is appropriate to compare the distributions of the response variable across different lengths and frequencies of commercials?
Time to get visual! To compare distributions, we need a display that can show us the different lengths and frequencies of commercials. I'm going to go with D. Side-by-side boxplots. It's like having commercials lined up next to each other, vying for our attention. Which one will make us crave those radios the most?

Part IV: What is/are the factor(s) in the study?
Factors are like the stars of the show, the things we're manipulating or interested in. So, what are our contenders here? From the options given, I think the answer is E. Length and frequency of the commercial. It's all about how long and how often those ads are playing, trying to win us over with their persuasive powers!

Part V: How many treatments are there in the study?
Treatments are like the different flavors of ice cream you can choose from. How many options are there in this study? Let's see...we've got 15-second, 30-second, and 60-second commercials. That makes 3 treatments in total. Variety is the spice of life, after all!

Hope that brings a smile to your face as we dive into the world of commercials and radio cravings!

Part I: The correct answer is C. An experiment because the study investigator compared the degree of craving between different amounts of exposure to advertisements in the study. This is an experiment because the investigator manipulated the exposure to advertisements by varying the length and repetition of the commercials.

Part II: The response variable in the study is D. Craving for a James & Maria radio. This is the variable that is being measured and assessed based on the different lengths and frequencies of commercials.

Part III: If the investigator wants to compare the distributions of the response variable across different lengths and frequencies of commercials, the appropriate display is D. Side-by-side boxplots. This type of display allows for visual comparison of the distributions of the response variable for each level of the factor.

Part IV: The factors in the study are E. Length and frequency of the commercial. These are the variables that are manipulated and varied in order to study their effect on the craving for a James & Maria radio.

Part V: The number of treatments in the study is 3. The treatments refer to the different combinations of length and repetition of the commercials that the residents were exposed to. In this case, there are three levels for each factor: three different commercial lengths (15-second, 30-second, and 60-second) and three different frequencies (two, four, and six commercials). Therefore, there are a total of 3 treatments.

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Disagree with V(c).