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MULTIPLE CHOICE QUESTIONS ON QUANTITATIVE TECHNIQUES
- The techniques which provide the decision maker a systematic and powerful means of analysis to explore policies for achieving predetermined goals are called........
- Correlation techniques
- Mathematical techniques
- Quantitative techniques
- None of the above
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- Correlation analysis is a .........................
- Univariate analysis
- Bivariate analysis
- Multivariate analysis
- Both b and c
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- If change in one variable results a corresponding change in the other variable, then the variables are....
- Correlated
- Not correlated
- Any of the above
- None of the above
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- When the values of two variables move in the same direction, correlation is said to be .........................
- Linear
- Non-linear
- Positive
- Negative
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- When the values of two variables move in the opposite directions, correlation is said to be .........................
- Linear
- Non-linear
- Positive
- Negative
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- When the amount of change in one variable leads to a constant ratio of change in the other variable, then correlation is said to be .........................
- Linear
- Non-linear
- Positive
- Negative
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- .........attempts to determine the degree of relationship between variables.
- Regression analysis
- Correlation analysis
- Inferential analysis
- None of these
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- Non-linear correlation is also called.........................
- Non-curvy linear correlation
- Curvy linear correlation
- Zero correlation
- None of these
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- Scatter diagram is also called .........................
- Dot chart
- Correlation graph
- Both a and b
- None of these
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- If all the points of a scatter diagram lie on a straight line falling from left upper corner to the right bottom corner, the correlation is called.........................
- Zero correlation
- High degree of positive correlation
- Perfect negative correlation
- Perfect positive correlation
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- If all the dots of a scatter diagram lie on a straight line falling from left bottom corner to the right upper corner, the correlation is called.........................
- Zero correlation
- High degree of positive correlation
- Perfect negative correlation
- Perfect positive correlation
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- Numerical measure of correlation is called .........................
- Coefficient of correlation
- Coefficient of determination
- Coefficient of non-determination
- Coefficient of regression
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- Coefficient of correlation explains:
- Concentration
- Relation
- Dispersion
- Asymmetry
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- Coefficient of correlation lies between:
- 0 and +1
- 0 and-1
- -1 and +1
- 3 and +3
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- A high degree of +ve correlation between availability of rainfall and weight of weight of people is:
- A meaningless correlation
- A spurious correlation
- A nonsense correlation
- All of the above
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- If the ratio of change in one variable is equal to the ratio of change in the other variable, then the correlation is said to be .........................
- Linear
- Non-linear
- Curvilinear
- None of these
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- Pearsonian correlation coefficient if denoted by the symbol ..........
- K
- r
- R
- None of these
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- If r= +1, the correlation is said to be .........................
- High degree of +ve correlation
- High degree of -ve correlation
- Perfect +ve correlation
- Perfect -ve correlation
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- If the dots in a scatter diagram fall on a narrow band, it indicates a ......................... degree of correlation.
- Zero
- High
- Low
- None of these
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- If all the points of a dot chart lie on a straight line vertical to the X-axis, then coefficient of correlation is .........................
- 0
- +1
- -1
- None of these
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- If all the points of a dot chart lie on a straight line parallel to the X-axis, it denotes .........................of correlation.
- High degree
- Low degree
- Moderate degree
- Absence
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- If dots are lying on a scatter diagram in a haphazard manner, then r = .........................
- 0
- +1
- -1
- None of these
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- The unit of Coefficient of correlation is .........................
- Percentage
- Ratio
- Same unit of the data
- No unit
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- Product moment correlation method is also called .........................
- Rank correlation
- Pearsonian correlation
- Concurrent deviation
- None of these
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- The -ve sign of correlation coefficient between X and Y indicates.........................
- X decreasing, Y increasing
- X increasing, Y decreasing
- Any of the above
- There is no change in X and Y
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- Coefficient of correlation explains .........................of the relationship between two variables.
- Degree
- Direction
- Both of the above
- None of the above
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- For perfect correlation, the coefficient of correlation should be .........................
- ± 1
- + 1
- -1
- 0
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- Rank correlation coefficient was discovered by.........................
- Fisher
- Spearman
- Karl Pearson
- Bowley
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- The rank correlation coefficient is always.........................
- + 1
- -1
- 0
- Between + 1 and -1
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- Spearman's Rank Correlation Coefficient is usually denoted by...............
- k
- r
- S
- R
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- Probable error is used to:
- Test the reliability of correlation coefficient
- Measure the error in correlation coefficient
- Both a an b
- None of these
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- If coefficient of correlation is more than .........................of its P E, correlation is significant.
- 2 times
- 5 times
- 6 times
- 10 times
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- In correlation analysis, Probable Error = ......................... x 0.6745
- Standard deviation
- Standard error
- Coefficient of correlation
- None of these
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- Coefficient of concurrent deviation depends
- The signs of the deviations
- The magnitude of the deviation
- Bothe a and b
- None of these
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- Correlation analysis between two sets of data only is called.........................
- Partial correlation
- Multiple correlation
- Nonsense correlation
- Simple correlation
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- Correlation analysis between one dependent variable with one independent variable by keeping the other independent variables as constant is called.........................
- Partial correlation
- Multiple correlation
- Nonsense correlation
- Simple correlation
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- Study of correlation among three or more variables simultaneously is called.............
- Partial correlation
- Multiple correlation
- Nonsense correlation
- Simple correlation
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- If r = 0.8, coefficient of determination is.....
- 80%
- 8%
- 64%
- 0.8%
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- If r is the simple correlation coefficient, the quantity r² is known as .........................
- Coefficient of determination
- Coefficient of non-determination
- Coefficient of alienation
- None of these
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- If r is the simple correlation coefficient, the quantity 1 -- r² is known as .........................
- Coefficient of determination
- Coefficient of non-determination
- Coefficient of alienation
- None of these
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- The term regression was first used by.........................
- Karl Pearson
- Spearman
- R A Fisher
- Francis Galton
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- .........................refers to analysis of average relationship between two variables to provide mechanism for prediction.
- Correlation
- Regression
- Standard error
- None of these
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- If there are two variables, there can be at most......................... number of regression lines.
- One
- Two
- Three
- Infinite
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- If the regression line is Y on X, then the variable X is known as.........................
- Independent variable
- Explanatory variable
- Regressor
- All the above
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- Regression line is also called.........................
- Estimating equation
- Prediction equation
- Line of average relationship
- All the above
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- If the regression line is X on Y, then the variable X is known as.........................
- Dependent variable
- Explained variable
- Both a and b
- Regressor
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- If the regression line is X on Y, then the variable X is known as.........................
- Dependent variable
- Independent variable
- Bothe a and b
- None of the above
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- If the regression line is Y on X, then the variable X is known as.........................
- Dependent variable
- Independent variable
- Both a and b
- None of the above
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- The point of intersection of two regression lines is.........................
- (0,0)
- (1,1)
- (x,y)
- (x̄, ȳ)
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- If r = ± 1, the two regression lines are.........................
- Coincident
- Parallel
- Perpendicular to each other
- None of these
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- If r = 1, the angle between the two regression lines is.........................
- Ninety degree
- Thirty degree
- Zero degree
- Sixty degree
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- If r = 0, the two regression lines are:
- Coincident
- Parallel
- Perpendicular to each other
- None of these
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- If bxy and byx are two regression coefficients, they have:
- Same signs
- Opposite signs
- Either a or b
- None of the above.
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- If byx > 1, then bxy is:
- Greater than one
- Less than one
- Equal to one
- Equal to zero
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- If X and Y are independent, the value of byx is equal to .........................
- Zero
- One
- Infinity
- Any positive value
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- The property that both the regression coefficients and correlation coefficient have same signs is called.........................
- Fundamental property
- Magnitude property
- Signature property
- None of these
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- The property that byx > 1 implies that bxy < 1 is known as .........................
- Fundamental property
- Magnitude property
- Signature property
- None of these
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- If X and Y are independent, the property byx = bxy = 0 is called .........................
- Fundamental property
- Magnitude property
- Mean property
- Independence property
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- The Correlation coefficient between two variables is the ......................... of their regression coefficients.
- Arithmetic mean
- Geometric mean
- Harmonic mean
- None of these
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- If the correlation coefficient between two variables, X and Y, is negative, then the regression coefficient of Y on X is........
- Positive
- Negative
- Not certain
- None of these
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- The G M of two regression coefficients byx and bxy is equal to .........................
- r
- r²
- 1-r²
- None of these
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- If one regression coefficient is negative, the other is .........................
- 0
- - ve
- +ve
- Either a or b
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- Arithmetic mean of the two regression coefficients is:
- Equal to correlation coefficient
- Greater than correlation coefficient
- Less than correlation coefficient
- Equal to or greater than correlation coefficient
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- byx is the regression coefficient of the regression equation.........................
- Y on X
- X on Y
- Either a or b
- None of these
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- bxy is the regression coefficient of the regression equation.........................
- Y on X
- X on Y
- Either a or b
- None of these
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- In ......................... regression analysis, only one independent variable is used to explain the dependent variable.
- Multiple
- Non-linear
- Linear
- None of these
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- The regression coefficient and correlation coefficient of the two variables will be the same if their .........................are same.
- Arithmetic mean
- Standard deviation
- Geometric mean
- Mean deviation
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- The idea of testing of hypothesis was first set forth by .........................
- R A Fisher
- J Neyman
- E L Lehman
- A Wald
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- By testing of hypothesis, we mean:
- A significant procedure in Statistics
- A method of making a significant statement
- A rule for accepting or rejecting hypothesis
- A significant estimation of a problem.
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- Testing of hypothesis and .........................are the two branches of statistical inference.
- Statistical analysis
- Probability
- Correlation analysis
- Estimation
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- ......................... is the original hypothesis
- Null hypothesis
- Alternative hypothesis
- Either a or b
- None of these
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- A null hypothesis is denoted by.........................
- Ho
- H1
- NH
- None of these
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- An alternative hypothesis is denoted by.........................
- Ho
- H1
- AH
- None of these
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- Whether a test is one sided or two sided, depends on.........................
- Simple hypothesis
- Composite hypothesis
- Null hypothesis
- Alternative hypothesis
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- A wrong decision about null hypothesis leads to:
- One kind of error
- Two kinds of errors
- Three kinds of errors
- Four kinds of errors
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- Power of a test is related to .........................
- Type I error
- Type II error
- Both a and b
- None of these
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- Level of significance is the probability of.........................
- Type I error
- Type II error
- Both a and b
- None of these
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- Which type of error is more severe error:
- Type I error
- Type II error
- Both a and b
- None of these
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- Type II error means.........................
- Accepting a true hypothesis
- Rejecting a true hypothesis
- Accepting a wrong hypothesis
- Rejecting a wrong hypothesis
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- Type I error is denoted by............
- Alpha
- Beta
- Gamma
- None of these
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- Type II error is denoted by.........................
- Alpha
- Beta
- Gamma
- None of these
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- The level of probability of accepting a true null hypothesis is called.........................
- Degree of freedom
- Level of significance
- Level of confidence
- D,
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- The probability of rejecting a true null hypothesis is called .........................
- Degree of freedom
- Level of significance
- Level of confidence
- None of these
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- 1-Level of confidence =.........................
- Level of significance
- Degree of freedom
- Either a or b
- None of these
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- While testing a hypothesis, if level of significance is not mentioned, we take ......................... level of significance.
- 1%
- 2%
- 5%
- 10%
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- A sample is treated as large sample, when its size is.........................
- More than 100
- More than 75
- More than 50
- More than 30
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- .........................refers to the number of independent observations which is obtained by subtracting the number of constraints from the total number of observations.
- Sample size
- Degree of freedom
- Level of significance
- Level of confidence
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- Total number of observations - number of constraints =.........................
- Level of significance
- Degree of freedom
- Level of confidence
- Sample size
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- Accepting a null hypothesis when it is false is called.........................
- Type I error
- Type II error
- Probable error
- Standard error
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- Accepting a null hypothesis when it is true is called.........................
- Type I error
- Type II error
- Probable error
- No error
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- When sample is small, ......................... test is applied.
- t-test
- Z test
- F test
- None of these
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- To test a hypothesis about proportions of items in a class, the usual test is..............
- t-test
- Z- test
- F test
- Sign test
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- Student's t-test is applicable when:
- The values of the variate are independent
- The variable is distributed normally
- The sample is small
- All the above
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- Testing of hypotheses H。 : μ = 45 vs. H₁ : μ > 45 when the population standard deviation is known, the appropriate test is:
- t-test
- Z test
- Chi-square test
- F test
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- Testing of hypotheses Ho : μ = 85 vs. H₁ : μ > 85, is a .........................test.
- One sided left tailed test
- One sided right tailed test
- Two tailed test
- None of these
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- Testing of hypotheses Ho : μ = 65 vs. H₁ : μ < 65, is a .........................test
- One sided left tailed test
- One sided right tailed test
- Two tailed test
- None of these
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- Testing of hypotheses Ho : μ = 65 vs. H₁: μ≠ 65, is a .........................test.
- One sided left tailed test
- One sided right tailed test
- Two tailed test
- None of these
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- Student's t-test was designed by.........................
- R A Fisher
- Wilcoxon
- Wald wolfowitz
- W S Gosset
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- Z test was designed by .........................
- R A Fisher
- Wilcoxon
- Wald wolfowitz
- W S Gosset
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- Z test was designed by .........................
- R A Fisher
- Wilcoxon
- Wald wolfowitz
- W S Gosset
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- The range of F ratio is .........................
- - 1 to + 1
- -∞ to ∞
- 0 to ∞
- 0 to 1
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- While computing F ratio, customarily, the larger variance is taken as .........................
- Denominator
- Numerator
- Either way
- None of these
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- Chi-square test was first used by .........................
- R A Fisher
- William Gosset
- James Bernoulli
- Karl Pearson
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- The Chi-squre quantity ranges from ......................... to .........................
- - 1 to +1
- -∞ to ∞
- 0 to ∞
- 0 to 1
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- Degrees of freedom for Chi-squre test in case of contingency table of order (2x2) is:
- 4
- 3
- 2
- 1
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- Degrees of freedom for Chi-squre test in case of contingency table of order (4x3) is:
- 4
- 3
- 6
- 7
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- Degrees of freedom for Chi-squre test in case of contingency table of order (5x5) is:
- 25
- 16
- 10
- Infinity
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- The magnitude of the difference between observed frequencies and expected frequencies is called .........................
- F value
- Z value
- t value
- Chi-square value
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- When the expected frequencies and observed frequencies completely coincide, the chi-square value will be .........................
- + 1
- -1
- 0
- None of these
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- If the discrepancy between observed and expected frequencies are greater, ......................... will be the chi-square value.
- Greater
- Smaller
- Zero
- None of these
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- Calculated value of chi-square is always.........................
- Positive
- Negative
- Zero
- None of these
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- While applying chi-square test, the frequency in any cell should not be .........................
- More than 5
- Less than 5
- More than 10
- Less than 10
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- Analysis of variance utilises.........................
- F test
- Chi square test
- Z test
- t test
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- In one way ANOVA, the variances are:
- Within samples
- Between samples
- Total
- All
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- The technique of analysis of variance was developed by .........................
- Frank Wilcoxon
- Karl Pearson
- R A Fisher
- Kolmogrov
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- Non-parametric test is :
- Distribution free test
- Not concerned with parameter
- Does not depend on the particular form of the distribution
- None of these
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- .........................tests follow assumptions about population parameters.
- Parametric
- Non-parametric
- One-tailed
- Two-tailed
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- .........................is the simplest and most widely used non-parametric test
- Sign test
- K-S test
- Chi-square tst
- Wilcoxon matched paired test
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- Runs test was designed by .........................
- Kruskal and Wallis
- Kolmogrov and Smirnov
- Wald wolfowitz
- Karl Pearson
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- Which one of the following is a non-parametric test?
- F test
- Z test
- t test
- Wilcoxon test
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- Control charts are also termed as.........................
- Shewart charts
- Process behaviour chart
- Both a and b
- None of these
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- What type of chart will be used to plot the number of defective in the output of any process?
- x chart
- R chart
- C chart
- P chart
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- Process control is carried out:
- Before production
- During production
- After production
- All of the above
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- The dividing lines between random and non-random deviations from mean of the distribution are known as .........................
- Upper Control Limit
- Lower Control Limit
- Control Limits
- Two sigma limit
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- The control charts used to monitor variable is.........................
- Range chart
- P-chart
- C-chart
- All of the above
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- The control charts used to monitor attributes is.........................
- Range chart
- P-chart
- C-chart
- All of the above
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- The control charts used for the fraction of defective items in a sample is.........................
- Range chart
- P-chart
- C-chart
- Mean chart
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- The control charts used for the number of defects per unit is:
- Range chart
- P-chart
- C-chart
- Mean chart
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- .........................is user for testing goodness of fit.
- Wilcoxon test
- Sign test
- K-S Test
- Chi-square test
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