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:\Users\donn\Documents\GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks 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:\Users\donn\Documents\GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks 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

Answer 1

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.