Answered: 1) Find the sample mean and sample…

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

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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SAMPLE 2
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2.54
Test Statis
1.83908046
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0.6
S2
0.63
P-value (o
0.03445032
8
n1
100
n2
100
Critical va
1.660391156
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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
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0.83
x-bar,
1.39
Point Estir
-0.56
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1.77
3.06
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0.1
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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
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Sum: 413.1
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2021-12-02
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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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