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Questions and Answers
What is the sample proportion of females in Sample #5?
What is the sample proportion of females in Sample #5?
Which sample contains the highest total quiz score?
Which sample contains the highest total quiz score?
How many samples have a sample proportion of females equal to 0.5?
How many samples have a sample proportion of females equal to 0.5?
If you ordered the samples by their sample proportions of females, which sample would be second in that order?
If you ordered the samples by their sample proportions of females, which sample would be second in that order?
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What is the minimum sample proportion of females obtained from the samples?
What is the minimum sample proportion of females obtained from the samples?
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Study Notes
Sampling Distribution of Sample Proportion
- A small population of five students (Abigail, Bobby, Carlos, DeAnna, Emily) is used to illustrate sampling distributions.
- Ten possible samples (SRSs) of size n = 2 are listed.
- The gender (Female (F) or Male (M)) and quiz score for each student are shown.
- Each sample has a different proportion of females.
- A dotplot visually represents the sampling distribution of the proportion of females across all 10 samples. Different samples have different proportions of females, and the plot shows the frequency of each proportion.
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Description
Explore the concepts of sampling distributions using a small population of five students. This quiz illustrates the varying proportions of females in different samples, highlighting how sampling affects results. Visual aids like dotplots will help you understand these distributions better.
