(e) Calculate lowest score of the top 10% of students A similar study is undertaken the following year at MGHS and it is found that the scores are still normally distributed, and with the same mean score of 55 but with a standard deviation of 5. (f) Assuming the failing score remains the same for this following year, explain why the percentage of students given a fail score will be less for this new group of students. The exam scores of 780 students from another school, Bondi Secondary School (BSS), were analysed. The scores were found to be normally distributed, and with a mean score of 52 and a standard deviation of 10 These exam scores were compared with those in part (a) from MGHS with a mean score of 55 and a standard deviation of 15. (g) If a student from MGHS obtains an exam score of 82 and a student from BHS obtains an exam sc of 75, which student performs better relative to the students from their own school?
(e) Calculate lowest score of the top 10% of students A similar study is undertaken the following year at MGHS and it is found that the scores are still normally distributed, and with the same mean score of 55 but with a standard deviation of 5. (f) Assuming the failing score remains the same for this following year, explain why the percentage of students given a fail score will be less for this new group of students. The exam scores of 780 students from another school, Bondi Secondary School (BSS), were analysed. The scores were found to be normally distributed, and with a mean score of 52 and a standard deviation of 10 These exam scores were compared with those in part (a) from MGHS with a mean score of 55 and a standard deviation of 15. (g) If a student from MGHS obtains an exam score of 82 and a student from BHS obtains an exam sc of 75, which student performs better relative to the students from their own school?
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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Question
Answer e,f and g using the graphics calculator
Transcribed Image Text:(e) Calculate lowest score of the top 10% of students
A similar study is undertaken the following year at MGHS and it is found that the scores are still normally
distributed, and with the same mean score of 55 but with a standard deviation of 5.
(f) Assuming the failing score remains the same for this following year, explain why the percentage of
students given a fail score will be less for this new group of students.
The exam scores of 780 students from another school, Bondi Secondary School (BSS), were analysed. The
scores were found to be normally distributed, and with a mean score of 52 and a standard deviation of 10.
These exam scores were compared with those in part (a) from MGHS with a mean score of 55 and a
standard deviation of 15.
(g) If a student from MGHS obtains an exam score of 82 and a student from BHS obtains an exam score
of 75, which student performs better relative to the students from their own school?
Transcribed Image Text:013%
10
215%
13.54%
25
34-13% 34.13%
40
0.1359x780
= 109.98
55
Score
70
1106
13.397
(b) Find the number of students who would be expected to obtain a score between 70 and 85
2.15%.
85 100
therefore, approximetery 106 students
would be expected to obtain a
score between 70 $ 85 in the
group of 78 students.
(c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail?
0.13 +215+13.59 =16/
ega Fus thus, He cut-off
What is the probability of a student obtaining a score between 60 and 90?
ac in put
opper 90
lower: 60
15
μ=55
E
mark for a fan is 40.
0.13%
in the probability of a student
obtaining
a score
is approximately 0.36.
between Go Rad
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