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1. The concepts of inference are hinged on observing and getting information from the population that are derived from the sample.

1. The concepts of inference are hinged on observing and getting information from the population that are derived from the sample.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer number 1,2,3,4 and 5. True or False.

1. The concepts of inference are hinged on observing and getting information from the population that are derived from the sample. 2. Statistical problems are classified as either parametric or non-parametric depending on the structure of decision space. 3. A sample space and underlying probability distribution are specified and we are asked to compute the probabilities of the given event(s) in a typical problem in probability theory. 4. In a typical problem of Statistical Inference, it is a single underlying probability distribution which is called class of probability distributions. 5. A Chi-Square Problem looks into investigating the linear relationship between one variable. (dependent variable) and a set of other variables (independent variables). 6. Any statistical problem can be specified by defining each of the components of (S, D). 7. Any outcome is described by a random variable X (or random vector X), which takes on values is called decision space, denoted by D. 8. This type of problem is called Interval Estimation, if we are not required to come up with numerical guess as to the value of p, but only to know whether the coin is fair or not. 9. The sum of the squares of independent standard normal random variables is a t- distribution random variable. 10. Asymptotic Theory is the class of results and theories that apply for cases using very large samples. 11. Multiple ANOVA Problems are decision problems where there are finite (more than 2) number of possible decisions. 12. The real problem in Statistical Inference lies in the best "guessing method". 13. The standard deviation of a statistics is called its standard error. 14. Statistics is always a function of observable random variables, a random variable itself and does not contain any unknown parameter. 15. The probability distribution of a statistic is called random sampling distribution.
Transcribed Image Text:1. The concepts of inference are hinged on observing and getting information from the population that are derived from the sample. 2. Statistical problems are classified as either parametric or non-parametric depending on the structure of decision space. 3. A sample space and underlying probability distribution are specified and we are asked to compute the probabilities of the given event(s) in a typical problem in probability theory. 4. In a typical problem of Statistical Inference, it is a single underlying probability distribution which is called class of probability distributions. 5. A Chi-Square Problem looks into investigating the linear relationship between one variable. (dependent variable) and a set of other variables (independent variables). 6. Any statistical problem can be specified by defining each of the components of (S, D). 7. Any outcome is described by a random variable X (or random vector X), which takes on values is called decision space, denoted by D. 8. This type of problem is called Interval Estimation, if we are not required to come up with numerical guess as to the value of p, but only to know whether the coin is fair or not. 9. The sum of the squares of independent standard normal random variables is a t- distribution random variable. 10. Asymptotic Theory is the class of results and theories that apply for cases using very large samples. 11. Multiple ANOVA Problems are decision problems where there are finite (more than 2) number of possible decisions. 12. The real problem in Statistical Inference lies in the best "guessing method". 13. The standard deviation of a statistics is called its standard error. 14. Statistics is always a function of observable random variables, a random variable itself and does not contain any unknown parameter. 15. The probability distribution of a statistic is called random sampling distribution.
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