The distribution of average years to degree for random samples of 100 PhD students in the U.S. has a mean of 5.8 with a standard error of 0.2. What type of distribution is this? population distribution sampling distribution sample distribution
The distribution of average years to degree for random samples of 100 PhD students in the U.S. has a mean of 5.8 with a standard error of 0.2. What type of distribution is this? population distribution sampling distribution sample distribution
Social Psychology (10th Edition)
10th Edition
ISBN:9780134641287
Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Chapter1: Introducing Social Psychology
Section: Chapter Questions
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What type of distribution is this?
Transcribed Image Text:**Understanding Sampling Distributions: An Educational Overview**
In this scenario, we have data concerning the average years required to earn a degree based on random samples of 100 PhD students in the U.S. The distribution demonstrates the following statistics:
- Mean: 5.8 years
- Standard Error: 0.2
**Question:** What type of distribution is this?
**Options:**
- Population distribution
- Sampling distribution
- Sample distribution
**Explanation:**
Given the context, this describes a **sampling distribution**. This type of distribution relates to the mean of multiple samples taken from a larger population. The mean of 5.8 years and the standard error of 0.2 indicate that this is the distribution of sample means, reflecting variations in averages across different samples.
**Key Concepts:**
- **Population Distribution:** This refers to the distribution of characteristics (e.g., years to degree) across all individuals in the entire population.
- **Sampling Distribution:** This involves the distribution of sample statistics (e.g., sample means) across many samples drawn from the same population.
- **Sample Distribution:** This represents the distribution of data within a single sample.
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