A researcher is interested in the affects that a person's avatar (i.e. visual representation of oneself) has on the number of profile views on Myspace.com. The distribution of individual personal profile views (excluding bands, artists, etc.) is extremely positively skewed with a mean of 230 views/day. The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness). The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60. Does having an animated smile as an avatar elicit a different number of profile views than average? State Null Hypothesis ho:μ______230 Alternative Hypothesis h₁:μ_ 230 Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? If yes, then use o to estimate ox and perform a Z-test σ8 = If no, then use s to estimates and perform a t-test Sx Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a 7-test find the z-valuels) that correspond to alpha leg 1 96 164) and that is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:A researcher is interested in the affects that a person's avatar (i.e. visual representation of oneself) has on the number of profile views on Myspace.com. The distribution of individual personal profile views (excluding bands, artists, etc.) is extremely positively skewed with a mean of 230 views/day. The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness). The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60. Does having an animated smile as an avatar elicit a different number of profile views than average? State Null Hypothesis ho:μ______230 Alternative Hypothesis h₁: μ Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? If yes, then use o to estimate og and perform a Z-test σx = 230 If no, then use s to estimate sx and perform a t-test S8 Sx = Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is your critical value. If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up the critical value in a t-table. Decision Rule In words: If If numbers: If Calculate test Apply decision rule Since, the null hypothesis. -observed is larger than -(i.e.observed value) reject the null hypothesis X - μ σx or sx critical reject the null hypothesis -(i.e. >,<) -(critical value), -(i.e.DO or DO NOT) reject

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