lesson questions 8.3
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34 Terms
In the ANOVA method, what is the purpose of the ANOVA table?
To determine if the population means are equal.
None of the other answers.
To determine if the sample averages are equal.
To determine if the population variances are equal.
To determine if the population means are equal
In the ANOVA method, how are the assumptions of Randomness and Independence checked to see that they are met?
Calculating the five-number summary and the fences.
Using a sum-of-squares table.
Using the appropriate histogram(s).
Checking that the sampling method was appropriate.
Checking that the sampling method was appropriate
In the ANOVA method, how are the assumptions of Normality / Equal Variance checked to see that they are met?
Using the F-test / Using the ANOVA fraction.
Using the appropriate histogram(s) / Using a sum-of-squares table.
Using the Shapiro-Wilk test / Using the Levene's test.
Checking the sampling method / Checking the sampling method.
Using the Shapiro-Wilk test / Using the Levene's test
In the ANOVA method, what information does the computer output (shown below) give you?
The shape is normal, because 0.418 is greater than 0.05.
The population variances are equal, because 0.4188 is greater than 0.05.
The population variances are not equal, because 0.918 is less than 1.0.
The shape is normal, because 0.918 is greater than 0.05.T
The shape is normal, because 0.418 is greater than 0.05
In the ANOVA method, what information does the computer output shown below give you?
The population variances are equal, because 0.2903 is greater than 0.05.
The shape is normal, because 0.2903 is greater than 0.05.
The population variances are not equal, because 1.3125 is greater than 1.0.
The shape is normal, because 0.2903 is less than 1.3125.
The population variances are equal, because 0.2903 is greater than 0.05
In the ANOVA table, the bottom row is a check row for the degrees of freedom and the sum-of-squares? What information about spread is given in Row 1 / Row 2?
None of the other answers.
About the sample variance / About the pooled sample variance.
About the sample averages / About the data values.
About the largest sample variance / About the smallest sample variance.
About the sample averages / About the data values
In the ANOVA table (shown below), what information is given in the Degrees of Freedom column?
The units of information in each row.
The number of data values in each row.
The amount of spread in each row.
Two of these other answers.
The units of information in each row
In the ANOVA table (shown below), which column gives the raw measure of spread / the standardized measure of spread, for each row?
The F-Value / The P-Value.
The Mean Squares / The Sum-of-Squares.
The Model / The Error.
The Sum-of-Squares / The Mean Squares.
The Sum-of-Squares / The Mean Squares
In the ANOVA table (shown below), what is the value of the F-Ratio? [hc09]
F0 = 18.13.
F0 = 18.40.
F0 = 190.32.
F0 = 1.75.
F0 = 18.13
In the ANOVA table (shown below), are the degrees of freedom correct for a situation with three populations and ten data values from each population?
Unknown, because this table does not have that information.
Yes, because the degrees of freedom are correct.
No, because the values should be DFerror = 27 and DFc total = 29
Yes, because the DF check is met (2+21 = 23).
No, because the values should be DFerror = 27 and DFc total = 29
In the ANOVA table (shown below), how many different population means are indicated?
One population mean.
More than one population mean.
One or more population means.
Three or less population means.
More than one population mean
In the ANOVA method, what is the purpose of the Tukey table?
To rank the population means from highest to lowest.
To calculate the differences between the sample averages.
To determine which population means are not equal.
To determine if all the population means are equal.
To determine which population means are not equal
In the ANOVA method, how are the sample averages arranged in the Tukey table?
From lowest to highest.
In alphabetical order by population name.
In the order in the dataset.
From highest to lowest.
From highest to lowest
In the ANOVA method, how does the Tukey table determine if two population means are equal?
The difference in the two sample averages is greater than the MSD.
The difference in the two sample averages equals the MSD.
The difference in the two sample averages is a positive value.
The difference in the two sample averages is less than the MSD.
The difference in the two sample averages is less than the MSD
In the ANOVA method, how many population means are indicated in the Tukey table shown below?
One population mean.
Two population means.
Three or less population means.
More than one population mean.
One population mean
In the ANOVA table, which are the two assumptions about the sample data values / about the populations?
Randomness and Equal Variance / Independence and Normality.
Randomness and Independence / Normality and Equal Variance.
Randomness and Normality / Independence and Equal Variance.
Independence and Normality / Randomness and Equal Variance.
Randomness and Independence / Normality and Equal Variance
What was the original purpose of the ANOVA table?
To list the values of all the components in the F-test.
To make it easy to calculate the F0 test statistic by hand.
It was the form required in research papers.
To present the ANOVA information in a computer output.
To make it easy to calculate the F0 test statistic by hand
In the ANOVA table, the conceptual ANOVA fraction is shown below. How is this fraction modified to a mathematically equivalent form that is used in the ANOVA table?
๐2๐ฅ๐ 2๐๐
Multiply by nn.
Multiply by n.
Multiply by 1n.
Divide by n .
Multiply by ๐/๐
In the ANOVA table shown below, what is the value of the mean square DAY / mean square Error?
MSday = 4,062,197 / MSerror = 7,121,434.
MSday = 14,242,868 / MSerror = 85,306,137.
MSday = 36.8 / MSerror = 386.3.
MSday = 3,560,717 / MSerror = 193,438.
MSday = 3,560,717 / MSerror = 193,438
In the ANOVA table (example below), what do the words Mean Square stand for?
A raw measure of spread for each row.
The amount of information contained in each row.
A variance (sum-of-squares/degrees of freedom) for each row.
An average sum-of-squares for each row.
A variance (sum-of-squares/degrees of freedom) for each row
In the ANOVA table shown below, what is the value of the Sum-of-Squares DAY / sum-of-squares Error?
SSday = 1,782,358 / SSerror = 9,227.
SSday = 7,129,434 / SSerror = 4,069,197.
SSday = 36.8 / SSerror = 386.3.
SSday = 973,794 / SSerror = 10,224,837.
SSday = 7,129,434 / SSerror = 4,069,197
In the ANOVA table shown below, should the population variances be considered equal?
Cannot tell because the ANOVA table tests for means, not for variances.
No, because the p-value (<0.0001) is less than alpha (0.05).
No, because only sample variances are in the ANOVA table.
No , because the MSday (3,564,717) is greater than MSerror (193,771).
Cannot tell because the ANOVA table tests for means, not for variances
In the ANOVA method, does the Tukey table provide new information when the null hypothesis in the ANOVA table is NOT rejected?
Yes, any additional statistical test gives more information.
No, because the Tukey table should have only one letter.
No, because the Tukey table always gives the same information as the ANOVA table.
Yes, the Tukey table gives new information about the population means.
No, because the Tukey table should have only one letter
In the ANOVA method, in the Tukey table shown below, what is the appropriate relationship between the values of the population means? (Friday Wednesday Monday)
The Friday and Wednesday population means are equal. The Monday population mean is less.
None of the population means are equal.
The Friday and Monday population means are equal.
The Friday, Wednesday, and Monday population means are equal.
The Friday and Wednesday population means are equal. The Monday population mean is less
In the ANOVA method, in the Tukey table shown below, what is the appropriate relationship between the values of the population means? (Tuesday Thursday Wednesday)
None of the population means are equal.
The Friday and Thursday population means are equal. The Wednesday population mean is less.
The Tuesday and Wednesday population means are not equal.
The Tuesday, Thursday, and Wednesday population means are equal.
The Tuesday, Thursday, and Wednesday population means are equa
In the ANOVA method, using the computer output shown below, are the assumptions of Normality and Equal Variance met?
No for Normality, Yes for Equal Variance.
Yes for Normality, Yes for Equal Variance.
Yes for Normality, No for Equal Variance.
No for Normality, No for Equal Variance.
Yes for Normality, Yes for Equal Variance
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
The population means are not all equal.
None of the population means are equal.
The population means are all equal.
Two of the population means are equal, and one is less.
The population means are not all equal
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
Friday = Wednesday > Monday.
Friday > Wednesday > Monday.
Friday = Wednesday = Monday.
Friday = Monday < Wednesday.
Friday = Wednesday > Monday
In the ANOVA method, using the computer output shown below, are the assumptions of Normality and Equal Variance met?
Yes for Normality, Yes for Equal Variance.
No for Normality, Yes for Equal Variance.
Yes for Normality, No for Equal Variance.
No for Normality, No for Equal Variance.
Yes for Normality, Yes for Equal Variance.
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
Two of the population means are equal, and one is less.
None of the population means are equal.
The population means are all equal.
The population means are not all equal.
The population means are all equal
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
Tuesday = Wednesday > Thursday.
Tuesday = Thursday = Wednesday.
Tuesday = Thursday > Wednesday.
Tuesday > Thursday > Wednesday.
Tuesday = Thursday = Wednesday
In the ANOVA method, using the computer output shown below, are the assumptions of Normality and Equal Variance met?
Yes for Normality, Yes for Equal Variance.
No for Normality, Yes for Equal Variance.
No for Normality, No for Equal Variance.
Yes for Normality, No for Equal Variance.
No for Normality, Yes for Equal Variance
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
The population means are all equal.
The population means are not all equal.
None of the population means are equal.
Two of the population means are equal, and one is less.
The population means are all equal
In the ANOVA method, using the computer output shown below, what is the appropriate relationship between the population means?
Summer = Winter > Spring.
Summer = Spring > Winter.
Summer > Spring > Winter.
Summer = Spring = Winter.
Summer = Spring = Winter