on 3 Background: Professor on FaceBook A recent study investigated whether the a
ID: 3183297 • Letter: O
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on 3 Background: Professor on FaceBook A recent study investigated whether the amount of information a professor posts about themselves (that is, self- disclosure) on the online social network Facebook is related to student's perception of how busy the professor is. A professor constructed three different Facebook sites, one offering low self-disclosure, one offering medium self- disclosure, and one offering high self-disclosure. For example, the low-disclosure site offered information only about her position at the university. The medium-disclosure site also showed the professor's favorite movies, books, and quotes. On the high-disclosure site, fictitious comments from "friends" were posted on "the Wall," highlighting social gatherings, as well as family pictures Study participants (students not enrolled in the professor's courses were then randomly assigned to access and browse one of the three Facebook sites. After browsing the professor's Facebook site, the student completes a research questionnaire. The student's perception of how busy the professor is was measured on a point score system, labeled the busy score, with higher scores resulting in a busier professor. The professor was interested is assessing whether the population mean busy score differs for the different types of Facebook pages: low, medium, and high self-disclosure, using a 5% significance of level The following table provides the numerical summaries of the data Self-disclosure Mean Std. Dev. n 43 Low 81.09 12.12 44 Medium 79.36 14.70 High 70.63 11.88 43 Question 3 Subquestions 3.a The professor would like to assess whether the mean busy score differs for the different types of Facebook pages Which of the following is the appropriate formulation of null and alternative hypotheses to be tested? point(s) Ho medium high versus H low medium high Hmedurm high versus H How U medium unigh Ho medium nigh versus Ha: at least one mean busy score Pr) s different Ho Ho: Hrow Hmedium Unign versus Ha: at least one population mean busy score (ur) is different 3.bo When R was used to perform the ANOVA, the p-value given in the ANOVA table was listed as 0.001 Which of the following is the distribution that R used to calculate that p-value? point(s) NO,1) distribution t distribution with 2 degrees of freedom t distribution with 127 degrees of freedom F distribution with 2 and 127 degrees of freedom F distribution with 2 and 129 degrees of freedomExplanation / Answer
1) option D
2) F distribution is used in comparing more than two means with K-1 and N-1 degrees of freedom
k= number of groups or simply number of means =3
N= total sample size =n1+n2+n3 =43+44+43 =130
F distribution with 2 and 129 degrees of freedom
option D is correct.
3) option B is correct.
we should proceed with mutiple comparisions to compare the means pairwise.
4) type 1 error
4)
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