A B C College ID Accept rate (%) Grad rate (%) 1 5 96 2 5 97 6 95 8 98 10 96 10 94 15 85 15 15 16 18 18 20 20 24 25 25 28 28 29 _0 11 12 13 14 15 16 189822 17 19 20 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 93 84 92 89 96 90 86 85 76 86 80 78 84

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
Calculate the z score for each variable (accept rate and grad rate). Provided: Mean 1 = 17, SD1=7.89 Mean 2=89,SD2=6.69
(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends
beyond that unless otherwise noted).
It is generally believed that there is a relationship between a college's acceptance rate and its
graduation rate. I wanted to know how strong this relationship is within the top universities in the
country, so I collected the graduation rate and acceptance rate data of a randomly selected sample of
universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is
in Tab Q2 of the Excel data file.
Ola Create a scatter plot between the two variables using Excel. Paste the plot here and format it into
Transcribed Image Text:(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends beyond that unless otherwise noted). It is generally believed that there is a relationship between a college's acceptance rate and its graduation rate. I wanted to know how strong this relationship is within the top universities in the country, so I collected the graduation rate and acceptance rate data of a randomly selected sample of universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is in Tab Q2 of the Excel data file. Ola Create a scatter plot between the two variables using Excel. Paste the plot here and format it into
1
2
3
4
5
6
7
8
A
B
C
College ID Accept rate (%) Grad rate (%)
1
5
96
5
97
6
95
8
98
10
96
10
94
15
85
15
93
15
84
16
92
18
89
18
96
20
90
20
86
24
85
25
76
25
86
80
78
84
9
10
11
12
13
14
15
16
17
18
19
20
7222
21
22
23
34
24
568LOSA EN
2
3
4
7
9
10
11
12
13
14
15
16
17
18
19
20
28
28
29
Transcribed Image Text:1 2 3 4 5 6 7 8 A B C College ID Accept rate (%) Grad rate (%) 1 5 96 5 97 6 95 8 98 10 96 10 94 15 85 15 93 15 84 16 92 18 89 18 96 20 90 20 86 24 85 25 76 25 86 80 78 84 9 10 11 12 13 14 15 16 17 18 19 20 7222 21 22 23 34 24 568LOSA EN 2 3 4 7 9 10 11 12 13 14 15 16 17 18 19 20 28 28 29
Expert Solution
Step 1

Given that,

The random variable X is the acceptance rate.

The random variable Y is the graduation rate.

The mean of X is 17 and the standard deviation is 7.89

The mean of Y is 89 and the standard deviation is 6.69

The formula for the z score is

Z=X-μσ

μ is the mean and σ is the standard deviation.

The data is as follows,

Acceptance rate Graduation rate
5 96
5 97
6 95
8 98
10 96
10 94
15 85
15 93
15 84
16 92
18 89
18 96
20 90
20 86
24 85
25 76
25 86
28 80
28 78
29 84
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