Define contingency table?

Important Questions on Tests Based on Sampling Distributions-I

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

The order of the contingency table is $(6\times 4)$. Then the degree of freedom of the corresponding chi-square test statistic is.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

In a sample of $200$ households in a colony, two brands of hair oils $A$ and $B$ are applied by $90$, females. Further, $60$ females and $70$ males are using brand $A$. Calculate the value of chi- square $\left({\chi }^2\right)$ by constructing a contingency table.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

For testing the hypothesis concerning variance of a normal population _______ is used.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If $5$ is the degree of freedom of chi-square distribution then its variance is

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Compute the expected frequencies $E_{ij}$ corresponding to each cell of the contingency table from the following data:Total sample size is$10$, Row sum corresponding to $1^{st}$ row is $100$ and column sum corresponding to $1^{st}$ column is $200$.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If $n$ is the degree of freedom of chi-square distribution then its variance is

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Which of the following is used for testing the hypothesis concerning variance of a normal population.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If chi-square is performed for testing goodness of fit to a data with k classes on estimating ‘s’ parameters then degrees of freedom of test statistic is.

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If chi-square is performed for testing goodness of fit to a data with $\text{'}k\text{'}$ classes on estimating $‘s’$ parameters then degrees of freedom of test statistic is

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

The order of the contingency table is $(5\times 4)$. Then the degree of freedom of the corresponding chi-square test statistic is.

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Calculate the value of the of ${\chi }^2$ for the given sample, sample variance is $5.4$, size of the sample is $8$ and ${\sigma }_0^2=9$.

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Compute the expected frequencies $E_{ij}$ corresponding to each cell of the contingency table from the following data:Total sample size is $8$, Row sum corresponding to $2^{\mathrm{nd}}$ row is $150$ and column sum corresponding to $2^{\mathrm{nd}}$ column is $250$.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

The order of the contingency table is $(5\times 4)$. Then the degree of freedom of the corresponding chi-square test statistic is.

EASY

Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If chi-square is performed for testing goodness of fit to a data with $8$ classes on estimating $3$ parameters then degrees of freedom of test statistic is

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If ${\sigma }^2$ is the variance of normal population, then the degrees of freedom of the sampling distribution of the test statistic for testing $H_0 : {\sigma }^2 = {{\sigma }_0}^{2 }$ is:

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Calculate the value of chi-square using contingency table from the following data $a=620, b=380, c=550, d=450$ and $N=2000$.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

If $n$ is the degree of freedom of chi-square distribution then its variance is

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

 The statistic $\chi 2$,  with usual notations, in case of contingency table of order$(m \times n)$ is given by

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

For testing the hypothesis concerning variance of a normal population _______ is used.

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Chi-Square Distribution and Its Applications

Calculate the value of the of ${\chi }^2$ for the given sample, sample variance is $0.024$, size of the sample is $20$ and ${\sigma }_0^2=0.018$.