
Sample Size Determination: Sampling Criteria and Strategies
Presentation
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Mathematics
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11th Grade
•
Practice Problem
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Hard
+2
Standards-aligned
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25 Slides • 21 Questions
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Multiple Choice
Explain the concept of margin of error in the context of determining sample size for population mean estimation.
The margin of error is the range of values within which the population mean is expected to fall.
The margin of error represents the amount of random sampling error in a survey's results.
The margin of error is the difference between the sample mean and the population mean.
The margin of error is the level of confidence in the survey results.
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Multiple Choice
What is the significance level and how does it affect the sample size calculation for estimating the population mean?
It has no effect on the sample size calculation
It determines the color of the confidence interval
It is used to calculate the median instead of the mean
It affects the sample size calculation by determining the critical value for the confidence interval.
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Multiple Choice
How does the desired confidence level influence the sample size determination for estimating the population mean?
It has no impact on the sample size determination.
It only affects the margin of error but not the level of significance.
It only affects the level of significance but not the margin of error.
It affects the margin of error and the level of significance in the calculation of the sample size.
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Multiple Choice
What are the different methods available for determining the sample size for estimating the population mean?
Guessing randomly
Using a magic eight ball
Asking friends and family
Using a formula, using a sample size calculator, consulting statistical experts
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Multiple Choice
What is the purpose of determining the sample size in a research study?
To reduce the cost of running the study
To include the whole population in the study
To get accurate and statistically significant results
To make the study more complex and time-consuming
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Multiple Choice
What is the purpose of using a confidence level in determining the sample size?
To increase the margin of error
To decrease the margin of error
To make the study more complex
To determine the probability that the actual mean falls within the margin of error
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Multiple Choice
What is the formula used to calculate the sample size for continuous or actual data?
Chan Shio & Reyes formula
Glenn's formula
Slovin’s formula
Yamane's formula
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Multiple Choice
What is the purpose of using the basic Slovin’s formula to compute the sample size?
To simplify the calculation
To increase the margin of error
To make the study more accurate
To avoid sampling a fraction of a person or thing
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Multiple Choice
It is also known as the sampling error and is commonly expressed as percentage points.
level of precision
level of confidence
degree of variability
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Multiple Choice
It is defined as the probability that the sample obtained is representative of the true population mean. It also known as the risk level.
level of precision
level of confidence
degree of variability
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Multiple Choice
Interview every 10th student who enters the school in the morning.
simple random sampling
voluntary response
systematic sampling
convenience sampling
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Multiple Choice
Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.
systematic
simple random
convenience
Self - selected (volunteer)
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Multiple Choice
Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:
Self-Selected
Convenience Sampling
Simple Random Sampling
Systematic Random Sampling
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Multiple Choice
Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.
Convenience Sampling
Systematic Random Sampling
Simple Random Sampling
Volunteer response
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Multiple Choice
Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest.
This is a form of:
Simple Random Sample
Stratified Random Sample
Voluntary Response
Systematic Random Sampling
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Multiple Choice
A teacher splits her classes up by period. She then randomly picks 3 students from each period to do a survey.
Stratified Sampling
Systematic Random Sampling
Cluster Sampling
Multi-stage Sampling
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Multiple Choice
What sampling method are you using if you survey the students in the school whose names are picked out of a hat?
Convenience Sampling
Systematic Random Sampling
Simple Random Sampling
Cluster Sampling
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Multiple Choice
Surveying the students in one home room is an example of which type of sampling method?
Convenience Sampling
Systematic Random Sampling
Simple Random Sampling
Cluster Sampling
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Multiple Choice
A researcher wants to conduct a study on Grade 11 students in a certain school regarding their satisfaction with their canteen’s service. How many students should the researcher survey using 5% precision level, if there are 160 Grade 11 students in the school?
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Multiple Choice
A researcher wants to conduct a study on Grade 11 students in a certain school regarding their satisfaction with their canteen’s service. How many students should the researcher survey using 5% precision level, if there are 800 Grade 11 students in the school?
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Multiple Choice
A researcher wants to conduct a study on Grade 11 students in a certain school regarding their satisfaction with their canteen’s service. How many students should the researcher survey using 10% precision level, if there are 800 Grade 11 students in the school?
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