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Chapter 7: Problem 3

Explain briefly the meaning of nonsampling errors. Give an example. Do such errors occur only in a sample survey, or can they occur in both a sample survey and a census?

Short Answer

Expert verified
Nonsampling errors are the errors that can occur during any data collection process, not linked to the process of sampling. An example could be 'response error' when respondents give inaccurate answers due to misunderstanding, incorrect memory etc. These errors can occur in any form of data collection, be it a sample survey, a census, an experiment or a case study.

Step by step solution

01

Definition of Nonsampling Errors

Nonsampling errors refer to errors that can occur in any data collection process. They are not related to the sampling process and can potentially occur in both survey and census data. These errors might arise due to a variety of factors, like inaccurate responses or incorrect recording of responses, misinterpretation of data, or human error in handling the data.
02

Example of Nonsampling Errors

For example, a common nonsampling error could be 'response error'. This type of error usually happens when respondents give inaccurate answers. Perhaps they don't understand the question, or they may not remember the information accurately. Other reasons could be an intentional desire to present themselves in a more favorable light or to protect their privacy.
03

Occurrence of Nonsampling Errors in Surveys and Censuses

Contrary to what the name implies, nonsampling errors do not relate to the sampling process. So, they can occur in any data collection process, whether it is a sample survey, a census, an experiment, or a case study. So the answer is yes, nonsampling errors can occur in both a sample survey and a census.

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Most popular questions from this chapter

quarter), Britons spend an av鈥� # According to a 2004 survey by the telecommunications division of British Gas (Source: http://www.literacytrust.org.uk/Database/texting html#quarter), Britons spend an average of 225 minutes per day communicating electronically (on a landline phone, on a mobile phone, by emailing, or by texting). Assume that currently such communication times for all Britons are normally distributed with a mean of 225 minutes per day and a standard deviation of 62 minutes per day. Let \(\bar{x}\) be the average time spent per day communicating electronically by 20 randomly selected Britons. Find the mean and the standard deviation of the sampling distribution of \(\bar{x}\). What is the shape of the sampling distribution of \(\bar{x}\) ?

Consider a large population with \(p=.63\). Assuming \(n / N \leq .05\), find the mean and standard deviation of the sample proportion \(\hat{p}\) for a sample size of a. 100 b. 900

If all possible samples of the same (large) size are selected from a population, what percentage of all the sample means will be within \(1.5\) standard deviations of the population mean?

A machine at Katz Steel Corporation makes 3 -inch-long nails. The probability distribution of the lengths of these nails is normal with a mean of 3 inches and a standard deviation of \(.1\) inch. The quality control inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than \(2.95\) inches or greater than \(3.05\) inches, the inspector concludes that the machine needs an adjustment. What is the probubility that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?

A 2009 nonscientific poll on the Web site of the Daily Gazette of Schenectady, New York, asked readers the following question: "Are you less inclined to buy a General Motors or Chrysler vehicle now that they have filed for bankruptcy?" Of the readers who responded, \(56.1 \%\) answered Yes (http://www. dailygazette.com/polls/2009/jun/Bankruptcy/). Assume that this result is true for the current population of vehicle owners in the United States. Let \(\hat{p}\) be the proportion in a random sample of \(340 \mathrm{U.S}\), vehicle owners who are less inclined to buy a General Motors or Chrysler vehicle after these corporations filed for bankruptcy. Find the mean and standard deviation of the sampling distribution of \(\hat{p}\), and describe its shape.
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