MCQs in Statistics ...

The following are properties of Chi Square Distributions (X2)

1. Values are nonnegative and include zero as a possibility

2. Positively Skewed Distribution

3. Consist of a Family of Distributions based on degrees of freedom

4. All of the above is true

5. None of the above is true

The Chi Square (X2) value for data consisting of 20 samples and an alpha value of .025 is equivalent to

1. 34.17

2. 30.14

3. 32.85

4. 31.41

When computing Chi Square (X2) we generally see that:

1. large values of Chi Square indicate agreement between the two sets of frequencies

2. large values of Chi Square indicate disagreement between the two sets of frequencies

3. Chi Sqare uses only continuous variables

4. Chi Square uses continuous and catagorical variables

5. None of the above

In a chi-square test comparing observed to expected frequencies, we fail to reject the null hypothesis whenever the observed frequencies are

1. each approximately equal to their corresponding expected frequency

2. significantly greater than the expected frequencies

3. considerably smaller than the expected frequencies

4. not equal

5. none of the above

You have calculated the chi-square test statistic in a test of independence for data consisting of a sample size 20 and determined that the Chi Square critical value is -4.23. Therefore, at the alpha .05 level, you will know that you

1. reject the null hypothesis

2. Accept the null hypothesis

3. observed frequencies that were greater than the corresponding expected frequencies

4. all of the above

5. none of the above

You have developed a simulation model that predicts gas mileage for vehicles based on a series of variables. You compare your predicted data to actual data for 70 samples. You conduct a test at the alpha .05 level and calculate a chi-square value of 88.2. What is your conclusion of this test?

1. Reject the null hypothesis

2. Accept the null hypothesis

3. Unable to reject or accept the null hypothesis

4. None of the above

What is your conclusion for a chi-square test with calculated value of 17.34 and critical chi square value of 2.54?

1. Reject the null hypothesis

2. Accept the null hypothesis

3. Unable to reject or accept the null hypothesis

4. None of the above

Find X 2(27, 0.10)?

1. 33.19

2. 34.38

3. 35.56

4. 36.74

5. 37.91

Determine the most appropriate technique for the defined test criteria

Column preview

ANOVA

Testing the effectiveness of a vaccine considering four different control groups

Two Way ANOVA

Determine if a sample data resembles a normal distribution

Chi Square

Predict final statistics grades based on number of student absences from class

Linear Regression

An experiment to determine which of three different missiles systems with four different propellant burn rates is preferred

The following best describe objectives of two way ANOVA

1. It is a hypothesis test on the variances of three or more populations

2. Two factors serve to provide variation in the response

3. All of the above

4. None of the above

The following is the result of a two way ANOVA:

Source of Variation

Sum of Squares

Mean Square

Fcritical

Treatments (Brand)

53,231

13307.75

95.56732

3.26

Blocks

116,218

38739.25

278.1993

3.49

Error

1,671

139.25

Total

171,120

What explanation best describes these results?

1. Both Variables Blocks and Treatments have a significant effect on the outcome

2. Only Blocks contribute to the outcome

3. Only Treatments contribute to the outcome

4. None of the above

What is the linear model used to explain relationship between two variables in a population?

1. Y = alpha + B (x)

2. Y = Bo + B1 (X) + error

3. Y = mx + B

4. All of the above

5. None of the above

The following best describes Linear Regression Analysis

1. Tests the linear relationship between input and output variables

2. Attempts to develop a linear solution to predict outcome on the basis of input

3. Considers the linear line of "best fit" by using the method of least squared errors

4. All of the above is true

5. None of the above is true

The following are coefficients of correlation, r. The one that indicates a negative relationship between the input variable x and the output variable y is:

1. -1.5

2. -.71

3. 0.0

4. 0.8

5. None of the above

If all of the values of an independent variable x equal the same number, then regressing a dependent variable y on x will result in a correlation coefficient , r of:

1. 0.88

2. -1.5

3. -1.0

4. 0.0

In a simple linear regression problem , which of the following table values would be appropriate for a 95% confidence interval for the mean of y for a given value of x if the sample size is 10?

1. 1.86

2. 1.81

3. 2.31

4. 2.26

The vertical spread of the data points about the regression line is measured by

1. Correlation Coefficient

2. Coefficient of Determination

3. Standard Error of the Estimate

4. The Y intercept

5. The slope of the equation

A regression analysis between sales (y in $1000) and advertising (x in $100) resulted in the following least squares line: = 75 +5x. This implies that if advertising is $800, then the predicted amount of sales (in dollars) is:

1. $79,000

2. $75,040

3. $115,000

4. S40,000

5. None of the Above

Choose the best possible definition for the given terms

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Coefficient of Determination

Generally exists when SSR is high and SSE is low

Coefficient of Linear Correlation

The difference between the observed value (Y) and the predicted value (Y) at a given X

Residual

The technique for producing a linear equation on the basis of minimizing SSE

Method of Least Squares

Is the measure of the strength of a linear relationship

Strong Linear Relationship

Is the fraction of the total variability of the dependent variable that is explained by the variability of the independent variable

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