Group Statistics Point-of-Purchase Sales (POP) Experimental Group (Digital Display) / Control Group (Standard Display) Experimental Group (Digital Display) Control Group (Standard Display) Levene's Test for N Mean Std. Deviation Std. Error Mean 49 5688.94 1657.318 236.760 51 7079.71 2268.779 317.693 Independent Samples Test Equality of Variances Sig. (2-tail F Sig. t df ed) Mean Difference Std. Error Difference t-test for Equality of Means 95% Confidence Interval of the Difference Lower Upper Point-of- Equal Purchase Sales variances assumed 5.407 .022 -3.489 98 .001 -1390.775 398.654 -2181.891 -599.660 (POP) Equal variances not assumed -3.510 91.547 .001 -1390.775 396.212 -2177.738 -603.813

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
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Question

A retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP).

What were the average sales for the standard POP display (control group)?

What were the sales for the digital display (experimental group)?

What is the (mean) difference in sales between the experimental group and control group?

List the null hypothesis being tested.

Do you reject or retain the null hypothesis based on the results of the independent t-test?

Was the difference between the control and experimental treatments significant? Explain why or why not using the independent t-test results.

Group Statistics
Point-of-Purchase Sales
(POP)
Experimental Group (Digital
Display) / Control Group
(Standard Display)
Experimental Group (Digital
Display)
Control Group (Standard
Display)
Levene's
Test for
N
Mean
Std. Deviation
Std. Error Mean
49
5688.94
1657.318
236.760
51
7079.71
2268.779
317.693
Independent Samples Test
Equality of
Variances
Sig.
(2-tail
F Sig.
t
df
ed)
Mean
Difference
Std. Error
Difference
t-test for Equality of Means
95% Confidence
Interval of the
Difference
Lower Upper
Point-of-
Equal
Purchase
Sales
variances
assumed
5.407 .022
-3.489
98
.001 -1390.775
398.654 -2181.891 -599.660
(POP)
Equal
variances
not
assumed
-3.510 91.547
.001
-1390.775
396.212 -2177.738 -603.813
Transcribed Image Text:Group Statistics Point-of-Purchase Sales (POP) Experimental Group (Digital Display) / Control Group (Standard Display) Experimental Group (Digital Display) Control Group (Standard Display) Levene's Test for N Mean Std. Deviation Std. Error Mean 49 5688.94 1657.318 236.760 51 7079.71 2268.779 317.693 Independent Samples Test Equality of Variances Sig. (2-tail F Sig. t df ed) Mean Difference Std. Error Difference t-test for Equality of Means 95% Confidence Interval of the Difference Lower Upper Point-of- Equal Purchase Sales variances assumed 5.407 .022 -3.489 98 .001 -1390.775 398.654 -2181.891 -599.660 (POP) Equal variances not assumed -3.510 91.547 .001 -1390.775 396.212 -2177.738 -603.813
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