1) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Female All-Around Finals Gymnastics Data (2).xlsx    (copy and paste link) (if it doesn't work, the data is below in the table) 15 14.85 15.2 14.25 13.85 13 13.6 13.7 14.05 12.7 14.05 13.65 13.25 13.25 13.55 12.95 13.55 13.05 11.85 13.2 11 13.8 12.25 12.1 12.1 11.6 11.9 12.05 10.75 11.2 10.55 11.1 10.45 9.6     13.85 14.25 14.8 14 14.5 13.75 13.55 12.55 13.2 13.7 13.35 13.25 12.95 13.4 13.35 13.3 12.3 13.55 12.8 12.4 13.1 12.3 12.6 12.65 11.9 10.2 12.05 11.7 10.4 10.75 9.8 9.6 10.75 9.75 9.55 9.05 14.65 14.2 15.35 14.6 14.3 14.75 13.65 13.7 14.25 13.8 14.1 13.6 14 14.25 13.2 14.4 13.25 13.7 13.15 13.05 13.45 12.4 13.3 12.75 12.2 12.6 11.55 11.6 11.6 10 10.9 10.35 11.75 11.3 10.3 10.9

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question

1) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Female All-Around Finals

  • Gymnastics Data (2).xlsx    (copy and paste link) (if it doesn't work, the data is below in the table)
15
14.85
15.2
14.25
13.85
13
13.6
13.7
14.05
12.7
14.05
13.65
13.25
13.25
13.55
12.95
13.55
13.05
11.85
13.2
11
13.8
12.25
12.1
12.1
11.6
11.9
12.05
10.75
11.2
10.55
11.1
10.45
9.6
 
 
13.85
14.25
14.8
14
14.5
13.75
13.55
12.55
13.2
13.7
13.35
13.25
12.95
13.4
13.35
13.3
12.3
13.55
12.8
12.4
13.1
12.3
12.6
12.65
11.9
10.2
12.05
11.7
10.4
10.75
9.8
9.6
10.75
9.75
9.55
9.05
14.65
14.2
15.35
14.6
14.3
14.75
13.65
13.7
14.25
13.8
14.1
13.6
14
14.25
13.2
14.4
13.25
13.7
13.15
13.05
13.45
12.4
13.3
12.75
12.2
12.6
11.55
11.6
11.6
10
10.9
10.35
11.75
11.3
10.3
10.9

2) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Male All-Around Finals.

  • Gymnastics Data (2).xlsx    (copy and paste link)
13.55
13.75
13.5
14.25
13.35
13.85
13.5
13.1
12.8
12.35
13.25
10.6
12.6
13.35
13.5
13.55
12.9
11.8
13.05
13.4
12.05
11.05
11.8
11.8
11.9
12.35
12.5
 
12.35
11.95
12.05
11.6
10.9
12.5
12.05
 
13
13.6
13.8
12.55
12.8
12
13.5
12.05
13.15
13.25
11.8
12.75
12.35
12.75
12.2
12.85
12.45
12.7
12.55
12.35
12.25
12.45
13
12.05
12
12.5
12.2
12.25
11.85
11.95
11.5
11.5
9.7
10.55
10
 
12.1
12.85
12.65
12.9
11.8
12.9
12.45
11.95
12.1
11.8
12.35
12.1
12
11.85
12.2
11.7
12.15
11.3
11.3
12.4
12
12
11.45
11
10.85
11.25
10.6
10.5
10.1
 
11
11
10.85
10.35
10.2
11.05

3) Construct a 95% confidence interval for the difference in population mean floor exercise scores between female and male gymnasts in the Individual All-Around Finals. (Hint: Use the results of 1) and 2) and use the t-distribution.) 

(IMAGE - is for question 3, an example on conducting the confidence interval)

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Sensitivity
17
fe
=(100-C20)/100
A
В
C
D
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G
H
K
M
P
SAMPLE 1
SAMPLE 2
6.
x-barı
2.7
x-bar2
2.54
Test Statis
1.83908046
7
S1
0.6
S2
0.63
P-value (o
0.03445032
8
n1
100
n2
100
Critical va
1.660391156
9
P-value (t
0.068900639
10
a
0.05
Critical va
1.984216952
11
12
13
Confidence Interval
14
15
SAMPLE 1
SAMPLE 2
16
x-bar1
0.83
x-bar,
1.39
Point Estir
-0.56
17
S1
1.77
3.06
a
0.1
18
n1
123
n2
290
ta/2
1.657439499
19
Margin of
0.398334154
20
Confidence level (9
90
Confidenc
-0.958334154
-0.161665846
21
22
23
24
25
26
27
28
29
30
31
32
Z Test, Difference of Proportio
Z Test, Diff of Ind Means
T Test, Diff of Ind Means
T Test, Diff Dependent Means
Chi-Square Goodness of Fit Test
Chi-S ...
Average: 137.7
Count: 3
囲
Select destination and press ENTER or choose Paste
Sum: 413.1
130%
1:49 AM
P Type here to search
N
O ENG
T
5°C
2021-12-02
远
Transcribed Image Text:AutoSave O ff Brock Excel Calculator _Revised Spring 2021_ (2) - Excel o Search (Alt+Q) Maitree Patel File Home Insert Draw Page Layout Formulas Data Review View Help A Share P Comments X Cut - 11 - A A ab Wrap Text > AutoSum r Calibri B Copy Fill - Sort & Find & Filter v Select v Paste в IU =E E E E E Merge & Center - $ • % 9 Conditional Format as Insert Delete Format Analyze Sensitivity S Format Painter Formatting Table v O Clear Data Clipboard Font Alignment Number Styles Cells Editing Analysis Sensitivity 17 fe =(100-C20)/100 A В C D E G H K M P SAMPLE 1 SAMPLE 2 6. x-barı 2.7 x-bar2 2.54 Test Statis 1.83908046 7 S1 0.6 S2 0.63 P-value (o 0.03445032 8 n1 100 n2 100 Critical va 1.660391156 9 P-value (t 0.068900639 10 a 0.05 Critical va 1.984216952 11 12 13 Confidence Interval 14 15 SAMPLE 1 SAMPLE 2 16 x-bar1 0.83 x-bar, 1.39 Point Estir -0.56 17 S1 1.77 3.06 a 0.1 18 n1 123 n2 290 ta/2 1.657439499 19 Margin of 0.398334154 20 Confidence level (9 90 Confidenc -0.958334154 -0.161665846 21 22 23 24 25 26 27 28 29 30 31 32 Z Test, Difference of Proportio Z Test, Diff of Ind Means T Test, Diff of Ind Means T Test, Diff Dependent Means Chi-Square Goodness of Fit Test Chi-S ... Average: 137.7 Count: 3 囲 Select destination and press ENTER or choose Paste Sum: 413.1 130% 1:49 AM P Type here to search N O ENG T 5°C 2021-12-02 远
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