Consider the LanguagesL₁={0^{i}1^{j}|i != J},L₂={0^{i}1^{j}|i = J},L₃ = {0^{i}1^{j}|i =

question 4

Multiple Choice

Consider the languagesL₁={0^{i}1^{j}|i != j},L₂={0^{i}1^{j}|i = j},L₃ = {0^{i}1^{j}|i = 2j+1},L4 = {0^{i}1^{j}|i != 2j}.Which one of the following statements is true?

• A)Only L₂ is context free
• B)Only L₂ and L₃ are context free
• C)Only L₁ and L₂ are context free
• D)All are context free

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Definitions:

T-statistic

A statistic used in hypothesis testing, computed as the difference between the sample mean and the hypothesized population mean, divided by the standard error of the mean.

Z-score

A statistical measurement that describes a value's relationship to the mean of a group of values, measured in terms of standard deviations from the mean.

Variability

The extent to which data points in a statistical distribution or data set diverge from the average or mean value.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, central to inferential statistics as it provides a basis for hypothesis testing.