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StatisticsEssentials of Statistics for the Behavioral SciencesThe 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 the study, the participants significantly overestimated the actual number of people who had noticed. a. In a similar study using a sample of n = 9 participants, the individuals who wore the shirt produced an average estimate of M = 6.4 with SS = 162. The average number who said they noticed was 3.1. Is the estimate from the participants significantly different from the actual number? Test the null hypothesis that the true mean is μ – 3.1 using a two-tailed test with α = .05. b. Is the estimate from the participants significantly higher than the actual number (μ = 3.1)? Use a one-tailed test with α = .05.BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 9, Problem 11P

Textbook Problem

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 the study, the participants significantly overestimated the actual number of people who had noticed.

**a.** In a similar study using a sample of *n =* 9 participants, the individuals who wore the shirt produced an average estimate of *M =* 6.4 with *SS* = 162. The average number who said they noticed was 3.1. Is the estimate from the participants significantly different from the actual number? Test the null hypothesis that the true mean is μ – 3.1 using a two-tailed test with α* =* .05.

**b.** Is the estimate from the participants significantly higher than the actual number (μ = 3.1)? Use a one-tailed test with α = .05.

Essentials of Statistics for the Behavioral Sciences

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Ch. 9.1 - Under what circumstances is a t statistic used...Ch. 9.1 - A sample of n = 9 scores has SS = 288. a. Compute...Ch. 9.1 - In general, a distribution of t statistics is...Ch. 9.1 - A researcher reports a t statistic with df = 20....Ch. 9.1 - For df = 15, find the value(s) of t associated...Ch. 9.2 - A sample of n = 4 individuals is selected from a...Ch. 9.3 - If all other factors are held constant, an 80%...Ch. 9.3 - If all other factors are held constant, a...Ch. 9.3 - A sample of n = 16 individuals is selected from a...Ch. 9.3 - How does sample size influence the outcome of a...

Ch. 9.4 - A new over-the-counter cold medication includes a...Ch. 9 - Under what circumstances is a t statistic used...Ch. 9 - A sample of n = 25 scores has a mean of M = 83 and...Ch. 9 - Find the estimated standard error for the sample...Ch. 9 - Explain why t distributions tend to be flatter and...Ch. 9 - Find the t values that form the boundaries of the...Ch. 9 - The following sample of n = 6 scores was obtained...Ch. 9 - The following sample was obtained from a...Ch. 9 - A random rumple of n = 25 individuals is selected...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment, a sample of...Ch. 9 - The spotlight effect refers to overestimating the...Ch. 9 - Many animals, including humans, tend to avoid...Ch. 9 - Standardized measures seem to indicate that the...Ch. 9 - The librarian at the local elementary school...Ch. 9 - For several years researchers have noticed that...Ch. 9 - Weinstein, McDermott, and Roediger (2010) report...Ch. 9 - Ackerman and Goldsmith (2011) found that students...Ch. 9 - A random sample of n = 16 scores is obtained from...Ch. 9 - A random sample is obtained from a population with...Ch. 9 - An example of the vertical-horizontal illusion is...Ch. 9 - McGee and Shevlin (2009) demonstrated that an...Ch. 9 - Oishi and Shigehiro (2010) report that people who...Ch. 9 - Research examining the effects of pie school child...

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