Sampling Error Explained: Sample vs Population Mean
The question asks for the term describing the difference between a researcher's sample mean and the population mean from which the sample was drawn.
Identifying the Correct Term
- Sampling Error specifically refers to the difference that occurs by chance between a sample statistic (like the sample mean) and the population parameter (the population mean) it represents. This difference arises because a sample is only a subset of the entire population.
Evaluating Other Options
- Confidence Interval: This is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. It doesn't represent the direct difference itself.
- Significance level ($\alpha$): This is a threshold used in hypothesis testing to determine if observed results are statistically significant. It's a probability, not a measure of difference between means.
- Standard Deviation ($\sigma$ or $s$): This measures the amount of variation or dispersion of a set of values. While related to variability, it's not the difference between sample and population means.
Therefore, the difference between the mean of a researcher's sample and the mean of the population is known as Sampling Error.
Important Questions from Sampling
The process of converting the analog sample into discrete form is called ______.
Respondents of a recent sample survey provided names of friends they thought would be likely users of a new product. These friends were contacted, completed a survey, and asked to supply names of other likely users. Which method of sampling has been used in this survey ?
Which one among the following relates to the probability-based sampling technique?
In which process is the flat-top pulse amplitude modulated signal generated?
Consider a population of 3 units having values 2, 4 and 6. A simple random sample (without replacement) of 2 units is to be drawn from the population. Let M denote the sample mean of this sample. Then which of the following statements are true?
