The spotlight effect refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly standing in a spotlight with everyone looking. In one demonstration of this phenomenon, Gilovich, Medvec, and Savitsky (2000) asked college students to put on a Barry Manilow T-shirt that fellow students had previously judged to be embarrassing. The participants were then led into a room in which other students were already participating in an experiment. After a few minutes, the participant was led back out of the room and was allowed to remove the shirt. Later, each participant was asked to estimate how many people in the room had noticed the shirt. The individuals who were in the room were also asked whether they noticed the shirt. In a similar study with N = 36 participants, the individuals who wore the shirt produced an average estimate of X = 1.8 with SS = 425. (a) Compute a 95% confidence interval for u, the population mean self-rated estimate of how many people noticed the embarrassing behavior. (b) Perform a hypothesis test to decide whether this population mean estimate was significantly greater than 3.1, the average number of people who actually noticed the shirt.
The spotlight effect refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly standing in a spotlight with everyone looking. In one demonstration of this phenomenon, Gilovich, Medvec, and Savitsky (2000) asked college students to put on a Barry Manilow T-shirt that fellow students had previously judged to be embarrassing. The participants were then led into a room in which other students were already participating in an experiment. After a few minutes, the participant was led back out of the room and was allowed to remove the shirt. Later, each participant was asked to estimate how many people in the room had noticed the shirt. The individuals who were in the room were also asked whether they noticed the shirt. In a similar study with N = 36 participants, the individuals who wore the shirt produced an average estimate of X = 1.8 with SS = 425. (a) Compute a 95% confidence interval for u, the population mean self-rated estimate of how many people noticed the embarrassing behavior. (b) Perform a hypothesis test to decide whether this population mean estimate was significantly greater than 3.1, the average number of people who actually noticed the shirt.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Transcribed Image Text:The spotlight effect refers to overestimating the extent to which others notice your appearance or
behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly
standing in a spotlight with everyone looking. In one demonstration of this phenomenon, Gilovich,
Medvec, and Savitsky (2000) asked college students to put on a Barry Manilow T-shirt that fellow
students had previously judged to be embarrassing. The participants were then led into a room in
which other students were already participating in an experiment. After a few minutes, the participant
was led back out of the room and was allowed to remove the shirt. Later, each participant was asked
to estimate how many people in the room had noticed the shirt. The individuals who were in the
room were also asked whether they noticed the shirt. In a similar study with N = 36 participants, the
individuals who wore the shirt produced an average estimate of X = 1.8 with SS = 425.
(a) Compute a 95% confidence interval for µ, the population mean self-rated estimate of how many
people noticed the embarrassing behavior.
(b) Perform a hypothesis test to decide whether this population mean estimate was significantly
greater than 3.1, the average number of people who actually noticed the shirt.
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