week 6 QNT 561
Sampling Data
Population:
Amount of gym members
Size:
100 gym members total
Target Population:
50 female gym members
Sample Size:
40 female gym members
Z= Z score critical value N= population ME= Margin of Error p=probability
95% Confidence Level= 1.96 N=50 ME= 5%= 0.05 p=50%= 0.5
n= sample size
n= [ (N(Z^2)*(p(1-p)) / ((N-1)ME^2+((Z^2)* (p(1-p))]
n= [ (50(1.96^2)*(0.5(1-0.5)) / ((100-1)0.05^2+((1.96^2)*(0.5(1-0.5))]
n= [ (50((3.8416)*(0.5*0.5)) / ((99*0.0025)+(3.8416*(0.5*0.5))]
n= [ (50(3.8416*0.25) / (0.2475+(3.8416*0.25))]
n= [ (50*0.9604) / (0.2475+0.9604)]
n= [ 48.02 / 1.2079]
n= 39.7549466 (round to the nearest whole number)
n= 40
Population and Size
The current population and size is the amount of gym members. Fitness Gymnasium’s population is the amount of all male and female gym members, which is 100 members. With that being said, the population for Fitness Gymnasium is all male and female gym members, and the size is 100 members.
Target Population and Sample Size
The current target population for the gym is female gym members. At Fitness Gymnasium, the current percentage of female members is 50% of 100 total gym members, which makes the target population 50 females. For Fitness Gymnasium, the sample size is 40 using a 95% confidence level, 5% margin of error with a target population of 50 females.
Z= Z score critical value N= population ME= Margin of Error p=probability
95% Confidence Level= 1.96 N=50 ME= 5%= 0.05 p=50%= 0.5
n= sample size
n= [ (N(Z^2)*(p(1-p)) / ((N-1)ME^2+((Z^2)* (p(1-p))]
n= [ (50(1.96^2)*(0.5(1-0.5)) / ((100-1)0.05^2+((1.96^2)*(0.5(1-0.5))]
n= [ (50((3.8416)*(0.5*0.5)) / ((99*0.0025)+(3.8416*(0.5*0.5))]
n= [ (50(3.8416*0.25) / (0.2475+(3.8416*0.25))]
n= [ (50*0.9604) / (0.2475+0.9604)]
n= [ 48.02 / 1.2079]
n= 39.7549466 (round to the nearest whole number)
n= 40
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Assessment/Survey
Name:
Membership #:
Age:
Nationality:
Height:
Weight:
Blood Pressure (BP) ratio= Systolic/Diastolic:
Body Mass Index (BMI):
*SIMPLE RANDOM SAMPLING*
Assessment/Survey
Fitness Gymnasium created the following survey to observe the correlation between a member’s BMI and BP. The members that were surveyed were that of different age, nationality, height, and weight. This enabled Fitness Gymnasium to get a true sample based off of their female members.
Simple Random Sampling
With this type of research, simple random sampling would be the best method since it deals with the observation of data from a small gym. Simple random sample is a sample of a larger population. The participants of the survey will be chosen randomly to ensure there is no preference involved other than female respondents.
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Collection Plan
Data Collection:
Check ID and Gym Membership for verification
Complete Survey: height, weight, age, etc.
Take measurements of BMI and BP (SYS/DIAS)
Validity and Reliability:
Monitoring and Classification of data
Survey given on computer to ensure no duplication
$25 off next month’s membership to entice participants
Storage of Data:
All data stored on company laptop
Locked computer w/password only access
Locked spreadsheet w/password only access
Data collection
The assessment is a simple health and wellness checkup, and will not damage a respondent’s health in any way. The employee will check the gym membership card and number to ensure correct identification. The employee will also take the respondent’s height, weight, BP ratio, and BMI measurements to ensure it is accurate.
Validity and Reliability
Validity and reliability will be achieved through the monitoring and classification of data. The survey will be completed on a computer to ensure there is no data duplication. An employee of the gym will randomly ask 40 female gym members to complete the survey. Those who complete the survey will receive $25 off their next month’s membership. This will engage the respondents and ensure participation.
Storage of Data
All data from the assessment/survey will be stored on the company’s laptop. Both the laptop and the excel spreadsheet will be locked and will require a password for access. Only those who are conducting the research study will have the password.
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