14. A group of 78 third-grade students in a Midwestern elementary school took a "self-concept" test that measured how well they felt about themselves. Higher scores indicate more positive self-concepts. A histogram and some summary statistics from Minitab for these students' self-concept scores are given below 15 10 20 25 30 35 40 45 50 55 60 65 70 75 80 85 Sef-concept Descriptive Statistics: SelfConc StDev 12,35 Median Q3 65.00 Maximum Q1 50.00 Minimum Variable N SelfConc 78 Mean 56.85 20.00 59.00 84.00 (a) One student in the group had a self-concept score of 62. Calculate and interpret this student's z-score. Kuanbay

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14. A group of 78 third-grade students in a Midwestern elementary school took a "self-concept"
test that measured how well they felt about themselves. Higher scores indicate more
positive self-concepts. A histogram and some summary statistics from Minitab for these
students' self-concept scores are given below
15
10
5
70
75 80 85
45 50
Sef-concept
20
25
30
35
40
55
60
65
Descriptive Statistics: SelfConc
Mean
56.85
Q3
65.00
Maximum
84.00
Median
Q1
50.00
StDev
Minimum
Variable N
SelfConc 78
12.35
20.00
59.00
(a) One student in the group had a self-concept score of 62. Calculate and interpret this
student's z-Score.
© 2017 BFW Publishers StarnesTabor Statistics and Probability with Applications 3/e
Transcribed Image Text:e /home/chronos/u-33cab27 14. A group of 78 third-grade students in a Midwestern elementary school took a "self-concept" test that measured how well they felt about themselves. Higher scores indicate more positive self-concepts. A histogram and some summary statistics from Minitab for these students' self-concept scores are given below 15 10 5 70 75 80 85 45 50 Sef-concept 20 25 30 35 40 55 60 65 Descriptive Statistics: SelfConc Mean 56.85 Q3 65.00 Maximum 84.00 Median Q1 50.00 StDev Minimum Variable N SelfConc 78 12.35 20.00 59.00 (a) One student in the group had a self-concept score of 62. Calculate and interpret this student's z-Score. © 2017 BFW Publishers StarnesTabor Statistics and Probability with Applications 3/e
(b) Interpret the standard deviation.
(c)
What percentage of the third graders scored less than 30 on the self-concept test?
(d) Use the rule to check if 84 is an outlier.
Transcribed Image Text:(b) Interpret the standard deviation. (c) What percentage of the third graders scored less than 30 on the self-concept test? (d) Use the rule to check if 84 is an outlier.
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