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(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.

(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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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I need the 95% confidence interval for part a

and for part b it would be set up as

Ho: mew = 3.1

H1: mew > 3.1

3. 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 = 9 participants, the individuals who wore the shirt produced an average estimate of X = 6.4 with SS = 162. (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. OFFION 1N-5VIOVDC
Transcribed Image Text:3. 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 = 9 participants, the individuals who wore the shirt produced an average estimate of X = 6.4 with SS = 162. (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. OFFION 1N-5VIOVDC
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