It has been reported that employment interviewers spend moretime talking to appl

Question

It has been reported that employment interviewers spend moretime talking to applicants who are hired than to applicants who arerejected. To determine wheter this is true for college studentsseeking summer employment through a university placement center, anexperimenter posing as an applicant accompanied a random sample ofreferees to their job interviews. A record of the duraion(inminutes) and out come of N-49 interviews was kept. the dataare Hired Rejected 30 23 19 17 21 24 18 18 24 26 22 19 25 27 13 22 29 24 15 15 24 22 18 19 23 25 17 17 24 26 20 20 28 23 18 18 25 24 19 17 24 27 23 19 26 12 25 25 18
Calculate the 25th, 50th, and 75th percentils for eachcondition("Hired" Vs."Rejected" seperately). Based on thiscalculate the "interquartile range"(i.e.,IQR) for each condition. It has been reported that employment interviewers spend moretime talking to applicants who are hired than to applicants who arerejected. To determine wheter this is true for college studentsseeking summer employment through a university placement center, anexperimenter posing as an applicant accompanied a random sample ofreferees to their job interviews. A record of the duraion(inminutes) and out come of N-49 interviews was kept. the dataare Hired Rejected 30 23 19 17 21 24 18 18 24 26 22 19 25 27 13 22 29 24 15 15 24 22 18 19 23 25 17 17 24 26 20 20 28 23 18 18 25 24 19 17 24 27 23 19 26 12 25 25 18 Hired Rejected 30 23 19 17 21 24 18 18 24 26 22 19 25 27 13 22 29 24 15 15 24 22 18 19 23 25 17 17 24 26 20 20 28 23 18 18 25 24 19 17 24 27 23 19 26 12 25 25 18 Hired Rejected 30 23 19 17 21 24 18 18 24 26 22 19 25 27 13 22 29 24 15 15 24 22 18 19 23 25 17 17 24 26 20 20 28 23 18 18 25 24 19 17 24 27 23 19 26 12 25 25 18

Explanation / Answer

By using the excel, we could compute the pth percentile isgiven by, For Hired: p25=24, p50=24.5,p75=26. For Rejected: p25=17, p50=18.5,p75=19. For Hired, IQR = p75-p75 =26-24 =2. For Rejected, IQR = 75th percentile - 25th percentile =19-17 =2 p25=17, p50=18.5,p75=19. For Hired, IQR = p75-p75 =26-24 =2. For Rejected, IQR = 75th percentile - 25th percentile =19-17 =2

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