In order to study the average number of continuous push-ups that his students can perform, a physical education teacher subjects 75 of them, chosen at random, to a test. The number of push-ups performed by each student, as well as their gender and whether or not they do sports outside school hours.The number of push-ups is known to be distributed according to a population variance norm 7.5.Can it be assumed considering a significance level of 5% that the mean number of push-ups performed by the students is 55?Make the respective graphMake the table with the classes and relative frequencies Orden Flexiones Genero123456781011121314151617181920212223242560415353415650535048504856525450505452484835504156HHMMHHHMMMMMHMMHHHHHHMMMMPracticaDeporteNoNoSiNoNoNoNoSiSiNoSiSiNoSiNoSiNoNoSiNoSiSiSiSiSiOrden Flexiones Genero262728293031323334353637383940414243444546474849505256141454 353535341485050525335355446485048414860535456MMHHMHMMHMHMHHMMHMMMHMMHPracticaDeporteSiNoSiNoNoNoSiNoSiSiNoNoNoNoNoSiNoNoNoNoSiSiNoSiSiOrden51525354555657585960616263646566676869707172737475Flexiones Genero50416060545453355448501614144545453।525052।4846535035506050HHMMHHHMHMHHHHHHHHHHHHHMHPracticaDeporteSiNoSiSiNoNoNoNoNoNoNoNoNoNoNoNoNoSiSiNoNoNoSiSiNo

Answered: In order to study the average number of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 10E

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In order to study the average number of continuous push-ups that his students can perform, a physical education teacher subjects 75 of them, chosen at random, to a test. The number of push-ups performed by each student, as well as their gender and whether or not they do sports outside school hours.
The number of push-ups is known to be distributed according to a population variance norm 7.5.
Can it be assumed considering a significance level of 5% that the mean number of push-ups performed by the students is 55?
Make the respective graph
Make the table with the classes and relative frequencies

Orden Flexiones Genero
1
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5
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8
10
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15
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19
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25
60
41
53
53
41
56
50
53
50
48
50
48
56
52
54
50
50
54
52
48
48
35
50
41
56
H
H
M
M
H
H
H
M
M
M
M
M
H
M
M
H
H
H
H
H
H
M
M
M
M
Practica
Deporte
No
No
Si
No
No
No
No
Si
Si
No
Si
Si
No
Si
No
Si
No
No
Si
No
Si
Si
Si
Si
Si
Orden Flexiones Genero
26
27
28
29
30
31
32
33
34
35
36
37
38
39
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41
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50
52
56
141454 3
53
53
53
41
48
50
50
52
53
35
35
54
46
48
50
48
41
48
60
53
54
56
M
M
H
H
M
H
M
M
H
M
H
M
H
H
M
M
H
M
M
M
H
M
M
H
Practica
Deporte
Si
No
Si
No
No
No
Si
No
Si
Si
No
No
No
No
No
Si
No
No
No
No
Si
Si
No
Si
Si
Orden
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
Flexiones Genero
50
41
60
60
54
54
53
35
54
48
50
1614144
54
54
53
।
52
50
52
।
48
46
53
50
35
50
60
50
H
H
M
M
H
H
H
M
H
M
H
H
H
H
H
H
H
H
H
H
H
H
H
M
H
Practica
Deporte
Si
No
Si
Si
No
No
No
No
No
No
No
No
No
No
No
No
No
Si
Si
No
No
No
Si
Si
No

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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