Question 1

Which statistical technique should you use when you are attempting to answer the question: "Is there a significant relationship between the customers' disposable income (measured in dollars)and their repeat-buying behavior (measured by the number of rebuys in a twelve-month period)?"

Accepted Answer

The answer of Which statistical technique should you use when...

Question 2

The numerator in the Pearson product-moment correlation coefficient formula

Accepted Answer

The numerator in the Pearson correlation coefficient formula is called the cross-products sum and it establishes the degree of covariation between two variables.

Question 3

If we were comparing the difference between the mean number of sports drinks consumed by male vs.female athletes during a typical week and we calculated a z value of 4.33,we would conclude that the probability of support of the

Accepted Answer

The answer of If we were comparing the difference between...

Question 4

Let's assume we find in a study that the Pearson's correlation coefficient between number of years of education and cigarette smoking is -0.73.This means that as education level increases

Accepted Answer

A negative correlation coefficient indicates an inverse relationship between the two variables. In this case, as the number of years of education increases, cigarette smoking tends to decrease. A correlation coefficient of -0.73 indicates a fairly strong negative correlation.

Question 5

When a computed z-value (for a test for differences between two percentages),say 4.51,is larger than the standard z-value,say 1.96,then this amounts to

Accepted Answer

If the computed z-value is larger than the standard z-value, it means that the difference between the two percentages is statistically significant, which means there is no support for the null hypothesis. Therefore, choice D is the correct answer.

Question 6

When independent variables in a multiple regression equation are highly correlated among themselves,it indicates the existence of ____.The statistics used to measure if this exists is called VIF.

Accepted Answer

When independent variables in a multiple regression equation are highly correlated among themselves, it indicates the existence of multicollinearity. Multicollinearity can be measured using a statistic called VIF (Variance Inflation Factor), which calculates the extent to which the variance of the estimated regression coefficient is increased due to multicollinearity. Therefore, the best choice is C.

Question 7

Let's assume there are sophomores,juniors,and seniors in your marketing research class and we want to know if their average GPAs differ.What is the proper statistical test?

Accepted Answer

ANOVA (Analysis of Variance) is used to compare the means of three or more groups, which is appropriate for determining if the average GPAs of sophomores, juniors, and seniors differ.

Question 8

Volvo cars,which have typically been positioned high on the safety attributes wants to know if people will respond favorably to proposed style changes.A sales manager wants to know if salespersons' morale is related to increases in recognition awards.These are questions that may be answered through

Accepted Answer

The answer of Volvo cars,which have typically been positioned high...

Question 9

Multiple regression analysis is useful when there are ____ independent variable(s)and ____ dependent variable(s).

Accepted Answer

Multiple regression analysis is used when there are multiple independent variables and one dependent variable. Hence, the best choice would be option A, where there are more than one independent variable and one dependent variable.

Question 10

In which of the following situations would it be useful to test for differences between two groups?

Accepted Answer

All the situations involve comparing two distinct groups to determine if there are significant differences in their responses or characteristics, which is the purpose of testing for differences between groups.

Question 11

If a = 0.152 and b = 1.32,the simple regression equation is

Accepted Answer

The simple regression equation is Y = a + bX, where Y is the dependent variable (in this case, denoted as Y_i), a is the intercept (0.152) and b is the slope (1.32). Therefore, the correct equation is Y_i = 0.152 + 1.32X_i.

Question 12

In ANOVA,a ____ allows a researcher to examine simultaneously the effects of two or more independent variables.

Accepted Answer

ANOVA with factorial design allows a researcher to examine the effects of two or more independent variables and their interactions on a dependent variable simultaneously. This allows for a more comprehensive understanding of the factors that affect the outcome variable.

Question 13

Assume that a researcher determines that a p-value of 0.01 or below determines significance.Listed below are several correlation coefficients and their respective significance levels.Which correlation coefficient demonstrates an association not likely due to chance (i.e. ,significant)?

Accepted Answer

A p-value of 0.00 is below the threshold of 0.01 and indicates that the correlation coefficient of 0.75 is significant, meaning there is likely a real association between the variables.

Question 14

Suppose you were given an example of running a chi-square test using SPSS.The output shows a "Pearson Chi-Square" value of 82.123,df = 3 and the Asymp.Sig.= 0.000.This means

Accepted Answer

The Pearson Chi-Square value of 82.123 with 3 degrees of freedom and Asymp.Sig.= 0.000 indicates that there is a significant association between the variables being tested. A p-value of 0.000 suggests that the result is highly statistically significant. Therefore, we reject the null hypothesis and conclude that there is a significant association between the variables.

Question 15

Post-hoc test (e.g. ,LSD,Duncan's multiple comparison/range test)are used for determining the

Accepted Answer

Post-hoc tests such as LSD and Duncan's multiple comparison/range test are used to determine differences between means when ANOVA has produced a significant F-value. These tests help to identify which specific groups have significantly different means.

Question 16

If the null hypothesis of no differences across groups is true,

Accepted Answer

The answer of If the null hypothesis of no differences...

Question 17

A research study involving the research question: "On the basis of a survey of husband-wife households,is there a significant difference between the mean attitude score of husbands and that of wives toward our product?" will involve a

Accepted Answer

The study involves comparing the mean attitude scores of husbands and wives within the same households, which means the samples are dependent (paired data). Therefore, a test of two means when samples are dependent is appropriate.

Question 18

Which statistical technique should you use to answer the question: "Is there a significant relationship between education level (a four-category ordinal variable)and whether or not consumers are aware that Firestone is a brand of tires?"

Accepted Answer

The appropriate statistical technique to test the relationship between an ordinal variable and a binary categorical variable is the chi-square test. In this case, education level is the ordinal variable while whether or not consumers are aware that Firestone is a brand of tires is the binary categorical variable. Therefore, a chi-square test would be the best choice.

Question 19

If an organization selects two towns for a market study (one for the test and the other as a control)and measures the amount of trash in pounds per household,it must first determine the equality of the two towns using a

Accepted Answer

The organization needs to compare the average amount of trash per household between the two towns, which requires a test of two means.

Question 20

If a researcher were to take ten Asian countries where per capita income and automobile ownership by per capita were known,trying to find the overall picture of market size for the market could probably be done by using which of the following methods?

Accepted Answer

Regression analysis is the best method for finding the overall picture of market size for the market, as it allows the researcher to identify correlations and predict trends based on the data collected.

Quiz 20: Data Analysis: Analyzing Multiple Variables Simultaneously

Which statistical technique should you use when you are attempting to answer the question: "Is there a significant relationship between the customers' disposable income (measured in dollars) and their repeat-buying behavior (measured by the number of rebuys in a twelve-month period) ?"

The numerator in the Pearson product-moment correlation coefficient formula

If we were comparing the difference between the mean number of sports drinks consumed by male vs.female athletes during a typical week and we calculated a z value of 4.33,we would conclude that the probability of support of the

Let's assume we find in a study that the Pearson's correlation coefficient between number of years of education and cigarette smoking is -0.73.This means that as education level increases

When a computed z-value (for a test for differences between two percentages) ,say 4.51,is larger than the standard z-value,say 1.96,then this amounts to

When independent variables in a multiple regression equation are highly correlated among themselves,it indicates the existence of ____.The statistics used to measure if this exists is called VIF.

Let's assume there are sophomores,juniors,and seniors in your marketing research class and we want to know if their average GPAs differ.What is the proper statistical test?

Volvo cars,which have typically been positioned high on the safety attributes wants to know if people will respond favorably to proposed style changes.A sales manager wants to know if salespersons' morale is related to increases in recognition awards.These are questions that may be answered through

Multiple regression analysis is useful when there are independent variable(s) and dependent variable(s) .

In which of the following situations would it be useful to test for differences between two groups?

If a = 0.152 and b = 1.32,the simple regression equation is

In ANOVA,a ____ allows a researcher to examine simultaneously the effects of two or more independent variables.

Assume that a researcher determines that a p-value of 0.01 or below determines significance.Listed below are several correlation coefficients and their respective significance levels.Which correlation coefficient demonstrates an association not likely due to chance (i.e. ,significant) ?

Suppose you were given an example of running a chi-square test using SPSS.The output shows a "Pearson Chi-Square" value of 82.123,df = 3 and the Asymp.Sig.= 0.000.This means

Post-hoc test (e.g. ,LSD,Duncan's multiple comparison/range test) are used for determining the

If the null hypothesis of no differences across groups is true,

A research study involving the research question: "On the basis of a survey of husband-wife households,is there a significant difference between the mean attitude score of husbands and that of wives toward our product?" will involve a

Which statistical technique should you use to answer the question: "Is there a significant relationship between education level (a four-category ordinal variable) and whether or not consumers are aware that Firestone is a brand of tires?"

If an organization selects two towns for a market study (one for the test and the other as a control) and measures the amount of trash in pounds per household,it must first determine the equality of the two towns using a

If a researcher were to take ten Asian countries where per capita income and automobile ownership by per capita were known,trying to find the overall picture of market size for the market could probably be done by using which of the following methods?

Quiz 20: Data Analysis: Analyzing Multiple Variables Simultaneously

Which statistical technique should you use when you are attempting to answer the question: "Is there a significant relationship between the customers' disposable income (measured in dollars) and their repeat-buying behavior (measured by the number of rebuys in a twelve-month period) ?"

The numerator in the Pearson product-moment correlation coefficient formula

If we were comparing the difference between the mean number of sports drinks consumed by male vs.female athletes during a typical week and we calculated a z value of 4.33,we would conclude that the probability of support of the

Let's assume we find in a study that the Pearson's correlation coefficient between number of years of education and cigarette smoking is -0.73.This means that as education level increases

When a computed z-value (for a test for differences between two percentages) ,say 4.51,is larger than the standard z-value,say 1.96,then this amounts to

When independent variables in a multiple regression equation are highly correlated among themselves,it indicates the existence of ____.The statistics used to measure if this exists is called VIF.

Let's assume there are sophomores,juniors,and seniors in your marketing research class and we want to know if their average GPAs differ.What is the proper statistical test?

Volvo cars,which have typically been positioned high on the safety attributes wants to know if people will respond favorably to proposed style changes.A sales manager wants to know if salespersons' morale is related to increases in recognition awards.These are questions that may be answered through

Multiple regression analysis is useful when there are ____ independent variable(s) and ____ dependent variable(s) .

In which of the following situations would it be useful to test for differences between two groups?

If a = 0.152 and b = 1.32,the simple regression equation is

In ANOVA,a ____ allows a researcher to examine simultaneously the effects of two or more independent variables.

Assume that a researcher determines that a p-value of 0.01 or below determines significance.Listed below are several correlation coefficients and their respective significance levels.Which correlation coefficient demonstrates an association not likely due to chance (i.e. ,significant) ?

Suppose you were given an example of running a chi-square test using SPSS.The output shows a "Pearson Chi-Square" value of 82.123,df = 3 and the Asymp.Sig.= 0.000.This means

Post-hoc test (e.g. ,LSD,Duncan's multiple comparison/range test) are used for determining the

If the null hypothesis of no differences across groups is true,

A research study involving the research question: "On the basis of a survey of husband-wife households,is there a significant difference between the mean attitude score of husbands and that of wives toward our product?" will involve a

Which statistical technique should you use to answer the question: "Is there a significant relationship between education level (a four-category ordinal variable) and whether or not consumers are aware that Firestone is a brand of tires?"

If an organization selects two towns for a market study (one for the test and the other as a control) and measures the amount of trash in pounds per household,it must first determine the equality of the two towns using a

If a researcher were to take ten Asian countries where per capita income and automobile ownership by per capita were known,trying to find the overall picture of market size for the market could probably be done by using which of the following methods?

Multiple regression analysis is useful when there are independent variable(s) and dependent variable(s) .