Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

1. Create and upload a histogram of the salary data for the city of Bell, where each bar width is about 50,000 US dollars. (Data

1. Create and upload a histogram of the salary data for the city of Bell, where each bar width is about 50,000 US dollars. (Data for the histogram is at the bottom).

a.) Is the distribution of the salaries symmetric?

b.) Without making any calculations, will the mean be larger or smaller than the median? Explain why.

The mean will be ---Select--- larger smaller than the median, because the distribution is ---Select--- left skewed right skewed symmetric.

2. For the city of Duarte, the median salary is 31,597.00 US dollars, the mean salary is 44,713.88 US dollars, and the standard deviation of the salaries is 36,448.59 US dollars (using the formula for the population standard deviation—recall that the data contains the salaries of all city employees). To ensure that your software tool is using the correct formulas, verify these results.

a.) What is the population median, mean, and standard deviation for the salaries in Bell? (Round your answers to two decimal places.)

Mean (μ):

Median:

Standard Deviation (σ):

b.) Compare the mean salaries of Bell and Duarte, paying attention to the position titles and salaries in the two cities.

The mean salary in Bell is ---Select--- smaller than the same as larger than the mean salary in Duarte.

c.) Does it pay to be a police officer in Bell?

3. In general, city managers earn the highest salaries in a city, and are paid well above a typical city employee. We want to find how far away the city manager salaries are from the mean for each city. Some cities have more variation in salaries than others, so we will compute how far the highest paid salaries are from the mean, and then divide that difference by the standard deviation of the city salaries, in order to make a fair comparison. In other words, we are going to calculate how many standard deviations the highest salaries are from their city means. Use the following formula.

   

a. ) For the city of Bell, how many standard deviations is the highest salary from the mean? (Round your answer to four decimal places.)

b.) For the city of Duarte, how many standard deviations is the highest salary from the mean? (Round your answer to four decimal places.)

c.) As an investigative reporter, you are used to seeing city manager salaries 4 or even 5 standard deviations away from the mean. What do you find curious about this data?


Here is the data for the histogram:
cityName,department,position,wages
Bell,Administration,Account Clerk,47973
Bell,Administration,Account Clerk,48207
Bell,Administration,Account Clerk,46582
Bell,Administration,Accounting Manager,104406
Bell,Administration,Assistant City Manager,562538
Bell,Administration,Assistant to Food Bank Coordinator,110053
Bell,Administration,Business Development Coordinator,159033
Bell,Administration,Business License Officer,15071
Bell,Administration,City Manager,1171423
Bell,Administration,Council,111260
Bell,Administration,Council,112489
Bell,Administration,Council,110954
Bell,Administration,Council,112627
Bell,Administration,Director of Administrative Services,253774
Bell,Administration,Housing Specialist,87657
Bell,Administration,Management Analyst,50240
Bell,Administration,Office Assistant,10148
Bell,Administration,Recreation Aide,15167
Bell,Administration,Senior Management Analyst,75183
Bell,Administration,Senior Management Analyst,84937
Bell,Community Services,Director of Community Services,184176
Bell,Community Services,Housing Rehabilitation Technician,64399
Bell,Community Services,Housing Rehabilitation Technician,64705
Bell,Community Services,Office Assistant,45695
Bell,Community Services,Recreation Aide,19656
Bell,Community Services,Recreation Aide,10033
Bell,Community Services,Recreation Aide,11093
Bell,Community Services,Recreation Aide,13035
Bell,Community Services,Recreation Aide,19448
Bell,Community Services,Recreation Aide,11927
Bell,Community Services,Recreation Aide,21416
Bell,Community Services,Recreation Aide,22467
Bell,Community Services,Recreation Aide,12854
Bell,Community Services,Recreation Attendant,13729
Bell,Community Services,Recreation Attendant,13465
Bell,Community Services,Recreation Attendant,14316
Bell,Community Services,Recreation Attendant,13094
Bell,Community Services,Recreation Attendant,13082
Bell,Community Services,Recreation Attendant,10146
Bell,Community Services,Recreation Attendant,12641
Bell,Community Services,Recreation Attendant,15282
Bell,Community Services,Recreation Attendant,12927
Bell,Community Services,Recreation Attendant,12227
Bell,Community Services,Recreation Leader,26120
Bell,Community Services,Recreation Leader,18802
Bell,Community Services,Recreation Programmer,25903
Bell,Community Services,Recreation Supervisor,55993
Bell,Community Services,Senior Recreation Supervisor,93683
Bell,Community Services,Senior Recreation Supervisor,87930
Bell,General Services,Code Enforcement Officer,44779
Bell,General Services,Code Enforcement Officer,15304
Bell,General Services,Code Enforcement Officer,45258
Bell,General Services,Director of General Services,244849
Bell,General Services,Parking Enforcement Officer,52598
Bell,General Services,Parking Enforcement Officer,50308
Bell,General Services,Senior Code Enforcement Officer,77107
Bell,Police,Assistant Chief of Police,147821
Bell,Police,Chief of Police,185809
Bell,Police,Motor Officer,65153
Bell,Police,Police Captain,131450
Bell,Police,Police Captain,131450
Bell,Police,Police Chief,109163
Bell,Police,Police Detective,90468
Bell,Police,Police Detective,104613
Bell,Police,Police Detective,106880
Bell,Police,Police Lieutenant,76246
Bell,Police,Police Motor Officer,102106
Bell,Police,Police Officer,102663
Bell,Police,Police Officer,112932
Bell,Police,Police Officer,99425
Bell,Police,Police Officer,93771
Bell,Police,Police Officer,90742
Bell,Police,Police Officer,85539
Bell,Police,Police Officer,89660
Bell,Police,Police Officer,94817
Bell,Police,Police Officer,87987
Bell,Police,Police Officer,89733
Bell,Police,Police Officer,85853
Bell,Police,Police Officer,39085
Bell,Police,Police Officer,86515
Bell,Police,Police Officer,103749
Bell,Police,Police Officer,97036
Bell,Police,Police Officer,89964
Bell,Police,Police Officer,94759
Bell,Police,Police Officer,77005
Bell,Police,Police Officer,99299
Bell,Police,Police Officer,92106
Bell,Police,Police Officer,96044
Bell,Police,Police Sergeant,113305
Bell,Police,Police Sergeant,125539
Bell,Police,Police Sergeant,113461
Bell,Police,Police Sergeant,116067
Bell,Police,Police Sergeant,147544
Bell,Police,Police Sergeant,116368
Bell,Police,Police Sergeant,114828
Bell,Police Administration,Community Services Technician,47887
Bell,Police Administration,Dispatcher,70413
Bell,Police Administration,Dispatcher,78902
Bell,Police Administration,Filing Officer,32500
Bell,Police Administration,Management Analyst,65834
Bell,Police Administration,Management Analyst,65949
Bell,Police Administration,Office Assistant,35314
Bell,Police Administration,Office Coordinator,60387
Bell,Police Administration,Police Dispatcher,57931
Bell,Police Administration,Police Dispatcher,57349
Bell,Police Administration,Police Dispatcher,67693
Bell,Police Administration,Police Dispatcher,63398
Bell,Public Works,Deputy City Engineer,164583
Duarte,Administrative Services,Accountant,61461
Duarte,Administrative Services,Accounting Specialist,60032
Duarte,Administrative Services,Administrative Secretary,53176
Duarte,Administrative Services,Assistant City Manager,132562
Duarte,Administrative Services,Bus Driver,15467
Duarte,Administrative Services,Bus Driver,19342
Duarte,Administrative Services,Bus Driver,18573
Duarte,Administrative Services,Bus Driver,18700
Duarte,Administrative Services,Bus Driver,18176
Duarte,Administrative Services,Bus Driver,20976
Duarte,Administrative Services,Bus Driver,19784
Duarte,Administrative Services,Human Resources Analyst,56400
Duarte,Administrative Services,Human Resources Manager,77250
Duarte,Administrative Services,Lead Driver,52948
Duarte,Administrative Services,Transit Supervisor,82606
Duarte,City Council,Councilmember,13352
Duarte,City Manager's Office,Administrative Secretary,44609
Duarte,City Manager's Office,City Manager,215466
Duarte,City Manager's Office,Clerk/Typist Receptionist,33715
Duarte,City Manager's Office,Deputy City Manager,98430
Duarte,City Manager's Office,Promise Fellows,10227
Duarte,City Manager's Office,Promise Fellows,11452
Duarte,City Manager's Office,Promise Fellows,16181
Duarte,Community Development,Administrative Secretary,42114
Duarte,Community Development,Administrative Secretary,48132
Duarte,Community Development,Assistant Civil Engineer,72665
Duarte,Community Development,Assistant Planner,29479
Duarte,Community Development,City Engineer,20580
Duarte,Community Development,Director of Community Development,129298
Duarte,Community Development,Engineering Division Manager,98714
Duarte,Community Development,Field Services Manager,102490
Duarte,Community Development,Field Services Supervisor,66878
Duarte,Community Development,Irrigation Control Technician,53847
Duarte,Community Development,Planning Intern,13318
Duarte,Community Development,Redevelopment Coordinator,55845
Duarte,Community Development,Senior Maintenance Technician,46754
Duarte,Community Development,Senior Maintenance Technician,58025
Duarte,Community Development,Senior Maintenance Technician,56148
Duarte,Community Development,Senior Maintenance Technician*Electrician,55597
Duarte,Community Development,Senior Planner,89107
Duarte,Community Development,Senior Planner,91391
Duarte,Parks & Recreation,Assistant Boxing Trainer,12127
Duarte,Parks & Recreation,Assistant Boxing Trainer,11858
Duarte,Parks & Recreation,Boxing Trainer,18657
Duarte,Parks & Recreation,Custodian,17875
Duarte,Parks & Recreation,Custodian,21090
Duarte,Parks & Recreation,Custodian,14101
Duarte,Parks & Recreation,Custodian,20063
Duarte,Parks & Recreation,Custodian,14124
Duarte,Parks & Recreation,Custodian,17584
Duarte,Parks & Recreation,Custodian,18117
Duarte,Parks & Recreation,Custodian,20722
Duarte,Parks & Recreation,Custodian,18878
Duarte,Parks & Recreation,Custodian,20014
Duarte,Parks & Recreation,Custodian,20779
Duarte,Parks & Recreation,Custodian,24763
Duarte,Parks & Recreation,Custodian,17633
Duarte,Parks & Recreation,Fee and Charge Instructor,16147
Duarte,Parks & Recreation,Recreation Coordinator,27080
Duarte,Parks & Recreation,Recreation Coordinator,33974
Duarte,Parks & Recreation,Recreation Leader,13918
Duarte,Parks & Recreation,Recreation Leader,11233
Duarte,Parks & Recreation,Recreation Leader,11919
Duarte,Parks & Recreation,Recreation Leader,11214
Duarte,Parks & Recreation,Recreation Superintendent,97147
Duarte,Parks & Recreation,Recreation Supervisor,69113
Duarte,Parks & Recreation,Recreation Supervisor,69030
Duarte,Parks & Recreation,Recreation Supervisor,52885
Duarte,Parks & Recreation,Recreation Supervisor,69817
Duarte,Parks & Recreation,Senior Custodian,45081
Duarte,Public Safety,Administrative Secretary,53565
Duarte,Public Safety,Clerk Typist/Receptionist,10194
Duarte,Public Safety,Code Compliance/Animal Control Officer,58478
Duarte,Public Safety,Code Compliance/Animal Control Officer,62028
Duarte,Public Safety,Code Compliance/Animal Control Officer,62038
Duarte,Public Safety,Community Services Officer,16440
Duarte,Public Safety,Community Services Officer,15567
Duarte,Public Safety,Community Services Officer,15452
Duarte,Public Safety,Crime Prevention Specialist,60025
Duarte,Public Safety,Director of Public Safety Services,125113
 

 

(highestsalary-mean salary) standar ddeviation

Step by Step Solution

3.42 Rating (184 Votes )

There are 3 Steps involved in it

Step: 1

To create the histogram of the salary data for the city of Bell we first need to organize the data and then plot the histogram However since I am an AI language model and cannot directly perform data ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Statistics The Art And Science Of Learning From Data

Authors: Alan Agresti, Christine A. Franklin

3rd Edition

9780321849281, 321755944, 321849280, 978-0321755940

More Books

Students also viewed these Mathematics questions