explain clearly the three meaning of "statistics" contained in the statement below
"you compute statistics from statistics by statistics"
The market research firm plans to estimate the difference between the mean ratings of two television programs. The it asks 100 viewers to the rate the first program on a scale from 0-10. The sample mea is is 5.3 and the sample variance is 1.6. I another sample of 400 viewers are asked to rate the second program on the same scale. The the sample mean is 5.8 and sample variance is 1.8. Calculate a 90% confidence interval for the difference between the mean ratings of the two programs in the population as a whole.
In the given statement, "you compute statistics from statistics by statistics," the term "statistics" is used in three different senses. Let's break down each meaning and explain it.
1. Meaning 1: Statistics as a mathematical discipline:
The term "statistics" can refer to a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves methods and techniques for summarizing and making inferences from data. In this context, when we say "compute statistics," it means performing mathematical calculations and applying statistical concepts and formulas to analyze and interpret data.
2. Meaning 2: Statistics as data:
In the statement, "statistics" can also represent a collection of numerical data or information. It refers to the values, measurements, or observations collected for a particular purpose. In this sense, "computing statistics from statistics" means deriving new statistical information or measures by analyzing and manipulating the existing data.
3. Meaning 3: Statistics as statistical measures or summary:
Lastly, "statistics" in the statement can refer to summary measures or statistics derived from the data. These can include measures such as mean, median, standard deviation, correlation coefficient, etc. So, when we say "compute statistics by statistics," it means using statistical measures calculated from the original data to obtain further statistical information or insights.
To summarize, the three meanings of "statistics" in the given statement are:
1. Statistics as a mathematical discipline.
2. Statistics as data or numerical information.
3. Statistics as statistical measures or summary.