Two symbols are used for the standard deviation: σand s. a. Which represents a parameter, and wh

Name: Problem 6, Chapter 7: Essential Statistics: Exploring the World through Data
Uploaded: 2022-01-20T03:13:01-08:00
Duration: 46 s
Channel: Nick Johnson
Description: Two symbols are used for the standard deviation: σand s. a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was 13.9 minutes. Is this standard deviation σor s?

step 1 Hello. So here we have our two symbols used for the standard deviation are going to be the Greek

Question

Two symbols are used for the standard deviation: $\sigma$ and s. a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was $13.9$ minutes. Is this standard deviation $\sigma$ or s?

    Two symbols are used for the standard deviation: $\sigma$ and s.
a. Which represents a parameter, and which represents a statistic?
b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was $13.9$ minutes. Is this standard
deviation $\sigma$ or s?

Essential Statistics: Exploring the World through Data

Robert Gould,… 3rd Edition

Chapter 7, Problem 6

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Solved by Expert Nick Johnson

01/20/2022

Step 1

A parameter is a value that describes a characteristic of an entire population, while a statistic is a value that describes a characteristic of a sample from the population. Show more…

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Two symbols are used for the standard deviation: $\sigma$ and s. a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was $13.9$ minutes. Is this standard deviation $\sigma$ or s?

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Key Concepts

Parameter

A parameter is a numerical value that describes a characteristic of an entire population. It is a fixed value, but in practice, we usually do not know the population parameter because obtaining data from an entire population is often impractical.

Statistic

A statistic is a numerical value that describes a characteristic of a sample taken from the population. It is calculated from the data collected from the sample, and while it estimates the corresponding parameter, it can vary from sample to sample.

Population vs. Sample Standard Deviation

The population standard deviation, denoted by ?, measures the dispersion of data in the entire population, while the sample standard deviation, denoted by s, measures the dispersion within a sample drawn from the population. In practical scenarios where data is collected from only a subset of the population, the sample standard deviation is computed, and it serves as an estimate of the population standard deviation.

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