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Review the SPSS output file that reports the results of the related samples t -t

ID: 2948493 • Letter: R

Question

Review the SPSS output file that reports the results of the related samples t-test to compare the number of U.S. states where each brand was sold in 2008 with the number of U.S. states where those same brands were sold in 2012. For each brand, there is one value for the number of states in 2008 and another value for the number of states in 2012, making this a repeated measure. Answer the following questions based on your observations of the SPSS output file:

What was the mean number of U.S. states in which all of the beer brands were sold in 2008?

What was the mean number of U.S. states in which all of the beer brands were sold in 2012?

Was there a significant difference in the number of states in which these beer brands were sold in 2008 versus 2012? Report the results of the t-test as follows: t(df value) = ___, and p-value.

T-Test

Notes

Output Created

07-JUN-2013 12:05:33

Comments

Input

Data

C:UsersdonnDocumentsGCU Lead facProject with Judy for modifying PSY845 to introduce SPSSdrinks database -revised for course applications DH.sav

Active Dataset

DataSet1

File Label

                       SPSS/PC+

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

35

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST PAIRS=States2008 WITH States2012 (PAIRED)

/CRITERIA=CI(.9500)

/MISSING=ANALYSIS.

Resources

Processor Time

00:00:00.00

Elapsed Time

00:00:00.01

[DataSet1] C:UsersdonnDocumentsGCU Lead facProject with Judy for modifying PSY845 to introduce SPSSdrinks database -revised for course applications DH.sav

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

Total number of US states selling beer in 2008

16.2286

35

14.63494

2.47376

Total number of US states selling beer in 2012

21.2000

35

15.48965

2.61823

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

Total number of US states selling beer in 2008 & Total number of US states selling beer in 2012

35

.880

.000

Paired Samples Test

Paired Differences

Mean

Std. Deviation

Std. Error Mean

95% Confidence Interval of the Difference

Lower

Pair 1

Total number of US states selling beer in 2008 - Total number of US states selling beer in 2012

-4.97143

7.43792

1.25724

-7.52644

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

95% Confidence Interval of the Difference

Upper

Pair 1

Total number of US states selling beer in 2008 - Total number of US states selling beer in 2012

-2.41641

-3.954

34

.000

Notes

Output Created

07-JUN-2013 12:05:33

Comments

Input

Data

C:UsersdonnDocumentsGCU Lead facProject with Judy for modifying PSY845 to introduce SPSSdrinks database -revised for course applications DH.sav

Active Dataset

DataSet1

File Label

                       SPSS/PC+

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

35

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST PAIRS=States2008 WITH States2012 (PAIRED)

/CRITERIA=CI(.9500)

/MISSING=ANALYSIS.

Resources

Processor Time

00:00:00.00

Elapsed Time

00:00:00.01

Explanation / Answer

What was the mean number of U.S. states in which all of the beer brands were sold in 2008?

From the output, mean number of U.S. states in which all of the beer brands were sold in 2008 is 16.2286

What was the mean number of U.S. states in which all of the beer brands were sold in 2012?

From the output, mean number of U.S. states in which all of the beer brands were sold in 2012 is 21.2000

Was there a significant difference in the number of states in which these beer brands were sold in 2008 versus 2012? Report the results of the t-test as follows: t(df value) = ___, and p-value.

df value = 34

t statistic = -3.954

P-value = 0.000

As, the p-value is less than the significance level of 0.05, there a significant difference in the number of states in which these beer brands were sold in 2008 versus 2012.

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