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 mean medican mode range sume of squares variance standard deviation for each condition("Hired" vs. "Rejected." separately.) 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
Calculate mean medican mode range sume of squares variance standard deviation for each condition("Hired" vs. "Rejected." separately.) 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

Mean =sum of all values/total number of values

=643/26

=24.731

Median= The mean of13th and 14thvalue

=23+25/2

=48/2

=24

Mode=which number occurs most

=24

Range=Maximum number – minimum number

=30-19

=11

Sum of Squares= Sum of Squares of all values =16041

Variance=1/(n-1)*(item value – mean value)2

=1/25*(139.1154)

=5.565

Standard Deviation= Square root of variance

=sqrt(5.565)

=2.3590

For rejected Employees

Mean =sum of all values/total number of values

=414/23

=18

Median= average of the 12th

=19

Mode=which number occurs most

=18

Range=Maximum number – minimum number

=30-19

=11

Sum of Squares= Sum of Squares of all values =5716

Variance=1/(n-1)*(item value – mean value)2

=1/22*(152)

=6.9091

Standard Deviation= Square root of variance

=sqrt(6.9091)

=2.6285

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