Consider a company which has a total population of 100 employees. The company recently conducted a census and measured the annual salary of its population (alongside other characteristics about the employees). You have been provided with an excel file and a pdf that contain this data. These 100 individuals comprise the population in our analysis.a) From the dataset select at random 5 different samples of 10 individuals. For each sample, randomly select 10 individuals from the company. After you have finished randomly selecting the 10 individuals for your first sample, record their information and then put them back in the population before starting the selection process for your next sample. Please do this 5 times, recording the ID number and income for each selection of each sample. Show your selections for all 5 samples.b) Carefully explain the process you use in selecting these samples. How does your procedure ensure that the samples are randomly selected?c) Compute the sample mean for all 5 samples. Note that the sample mean can be obtained using the1?formula ? = ? ∑?=1 ?? (where n is the number of observations in the sample).d) Suppose the sample contains individuals with ID’s {7,17,29,35,37,59,73,77,89,96}. For this sample: Calculate the mean Salary, the mean Age, the fraction who are female, and the fraction who have a Degree. Compare these to the summary statistics of the population and comment IDmean122860047700400004840033300302007168008368009 155003 4 5 6DEERESGAGGORENGINE10 531001211 311001840013 25800144780015 521001716 460003250028600270003800023000446003340046000343002520028800316001290026200372003350033 15800172001819202122232425262728293031Salary3347432Salary343635 293004160037 4860038 31200315003930041 3940042 1640043 3490044409003940Population Summary StatisticsAge32.86Age3937442636262936313929423235253338333127323743303138263434353333384127213936344037353530Male (=0) or Female (=1) Degree (No=0, Yes=1)0.560.3Population DataMale (=0) or Female (=1) Degree (No=0, Yes=1)00111110111111000100101111111000005 0 ન નન ન + ૦ ૦ ૦001HOOO o o o OHH OOOOOOOOOOOOO o o o OHH OOOOHOOL100010000000000010001001 959697989910040100372001720050900263001600045464748495035600328004300032700400002040051 32800441005253545556575834800482002010016500464005960157003210017700278001050041100616263642840065495006619000印869701234757578 7万 80 81 82 88485857889 90 1 2 347922900915030012900473003900036200127003690046300301002740031200341004570045440004710083 375003860086 4310026700460004750014500376003720092 4210093 2870094 46400382629353943272937413242342037252938413229302627353944423429263935352926343126293435252726252832212026343237331111001000010111010101110101100111010110001010000000010010100000011000000OHOOHOHO,1000110

Given the data of a company that has a total population of 100 employees and the population summary…

Consider a company which has a total population of 100 employees. The company recently conducted a census and measured the annual salary of its population (alongside other characteristics about the employees). You have been provided with an excel file and a pdf that contain this data. These 100 individuals comprise the population in our analysis. a) From the dataset select at random 5 different samples of 10 individuals. For each sample, randomly select 10 individuals from the company. After you have finished randomly selecting the 10 individuals for your first sample, record their information and then put them back in the population before starting the selection process for your next sample. Please do this 5 times, recording the ID number and income for each selection of each sample. Show your selections for all 5 samples. b) Carefully explain the process you use in selecting these samples. How does your procedure ensure that the samples are randomly selected? c) Compute the sample mean for all 5 samples. Note that the sample mean can be obtained using the 1? formula ? = ? ∑?=1 ?? (where n is the number of observations in the sample). d) Suppose the sample contains individuals with ID’s {7,17,29,35,37,59,73,77,89,96}. For this sample: Calculate the mean Salary, the mean Age, the fraction who are female, and the fraction who have a Degree. Compare these to the summary statistics of the population and comment

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Consider a company which has a total population of 100 employees. The company recently conducted a census and measured the annual salary of its population (alongside other characteristics about the employees). You have been provided with an excel file and a pdf that contain this data. These 100 individuals comprise the population in our analysis.

a) From the dataset select at random 5 different samples of 10 individuals. For each sample, randomly select 10 individuals from the company. After you have finished randomly selecting the 10 individuals for your first sample, record their information and then put them back in the population before starting the selection process for your next sample. Please do this 5 times, recording the ID number and income for each selection of each sample. Show your selections for all 5 samples.
b) Carefully explain the process you use in selecting these samples. How does your procedure ensure that the samples are randomly selected?
c) Compute the sample mean for all 5 samples. Note that the sample mean can be obtained using the

1?
formula ? = ? ∑?=1 ?? (where n is the number of observations in the sample).
d) Suppose the sample contains individuals with ID’s {7,17,29,35,37,59,73,77,89,96}. For this sample: Calculate the mean Salary, the mean Age, the fraction who are female, and the fraction who have a Degree. Compare these to the summary statistics of the population and comment

ID
mean
1
2
28600
47700
40000
48400
33300
30200
7
16800
8
36800
9 15500
3 4 5 6
DEERESGAGGORENGINE
10 53100
12
11 31100
18400
13 25800
14
47800
15 52100
17
16 46000
32500
28600
27000
38000
23000
44600
33400
46000
34300
25200
28800
31600
12900
26200
37200
33500
33 15800
17200
18
19
20
21
22
23
24
25
26
27
28
29
30
31
Salary
33474
32
Salary
34
36
35 29300
41600
37 48600
38 31200
31500
39300
41 39400
42 16400
43 34900
44
40900
39
40
Population Summary Statistics
Age
32.86
Age
39
37
44
26
36
26
29
36
31
39
29
42
32
35
25
33
38
33
31
27
32
37
43
30
31
38
26
34
34
35
33
33
38
41
27
21
39
36
34
40
37
35
35
30
Male (=0) or Female (=1) Degree (No=0, Yes=1)
0.56
0.3
Population Data
Male (=0) or Female (=1) Degree (No=0, Yes=1)
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
0
0
0
0
5 0 ન નન ન + ૦ ૦ ૦
0
0
1
HOOO o o o OHH OOOOOOOOOOOOO o o o OHH OOOOHOOL
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1

95
96
97
98
99
100
40100
37200
17200
50900
26300
16000
45
46
47
48
49
50
35600
32800
43000
32700
40000
20400
51 32800
44100
52
53
54
55
56
57
58
34800
48200
20100
16500
46400
59
60
15700
32100
17700
27800
10500
41100
61
62
63
64
28400
65
49500
66
19000
印869701234757578 7万 80 81 82 88485857889 90 1 2 34
79
22900
91
50300
12900
47300
39000
36200
12700
36900
46300
30100
27400
31200
34100
45700
45
44000
47100
83 37500
38600
86 43100
26700
46000
47500
14500
37600
37200
92 42100
93 28700
94 46400
38
26
29
35
39
43
27
29
37
41
32
42
34
20
37
25
29
38
41
32
29
30
26
27
35
39
44
42
34
29
26
39
35
35
29
26
34
31
26
29
34
35
25
27
26
25
28
32
21
20
26
34
32
37
33
1
1
1
1
0
0
1
0
0
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
OHOOHOHO,
1
0
0
0
1
1
0

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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