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Chapter 12: Problem 39

Describe what is meant by a random sample.

Short Answer

Expert verified
A random sample refers to a set of items or people chosen from a larger population where each item or person has an equal chance of being selected. It's widely used in statistics since it avoids bias, ensuring a fair representation of the entire population, hence the accuracy of the results derived from such data.

Step by step solution

01

Define Random Sample

A random sample is a set of items or people selected from a larger population in a way that every individual item or person has an equal chance of being selected.
02

Explanation of its significance

It's crucial in statistical analysis because it removes bias from the selection process. This implies that the collected data will represent the entire population fairly, leading to the accuracy of the results derived from such data.
03

Real-life application

A real-life example of a random sample is when a company wants to survey its employees about their work satisfaction. If the company has 1000 employees and they want a sample of 200, they could assign each employee a number from 1 to 1000 and then use a random number generator to select 200 numbers. These 200 employees constitute the random sample that will participate in the survey.

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Most popular questions from this chapter

Find the standard deviation for each group of data items. Round answers to two decimal places. \(3,3,3,4,5,5,5\)

Describe how to find the range of a data set.

Compute the mean, range, and standard deviation for the data items in each of the three samples. Then describe one way in which the samples are alike and one way in which they are different. Sample A: \(8,10,12,14,16,18,20\) Sample B: \(8,9,10,14,18,19,20\) Sample C: \(8,8,8,14,20,20,20\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with data sets with different means and the same standard deviation.

Describe the normal distribution and discuss some of its properties.
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