The management of a restaurant wants to determine a new advertising campaign has increased its mean daily income (net). The income for each of 50 business days prior to the campaigns beginning is recorded. After conducting the advertising campaign and allowing a 20-day period for advertising to take effect, the restaurant management records the income for 30 business days. These two samples will allow the management to make an inference about the effect of the advertising campaign on the restaurant's daily income. A summary of the results of the two samples is known in the table below; Before Campaign After Campaign n1 50 n2 X1 Tshs 125,500 X2 133,000 %3D S1 Tshs 21,500 S2 23,800 30 II

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The management of a restaurant wants to determine a new advertising campaign has
increased its mean daily income (net). The income for each of 50 business days prior to
the campaigns beginning is recorded. After conducting the advertising campaign and
allowing a 20-day period for advertising to take effect, the restaurant management
records the income for 30 business days. These two samples will allow the
management to make an inference about the effect of the advertising campaign on the
restaurant's daily income. A summary of the results of the two samples is known in the
table below;
Before Campaign
After Campaign
ni
50
n2
30
%3D
X1
Tshs 125,500
X2
133,000
S1
Tshs 21,500
S2
= 23,800
REQUIRED
Do these samples provide sufficient evidence for the management to conclude that the
mean income has been increased by the advertising campaign? Test using a = 0.05.
2.
Transcribed Image Text:The management of a restaurant wants to determine a new advertising campaign has increased its mean daily income (net). The income for each of 50 business days prior to the campaigns beginning is recorded. After conducting the advertising campaign and allowing a 20-day period for advertising to take effect, the restaurant management records the income for 30 business days. These two samples will allow the management to make an inference about the effect of the advertising campaign on the restaurant's daily income. A summary of the results of the two samples is known in the table below; Before Campaign After Campaign ni 50 n2 30 %3D X1 Tshs 125,500 X2 133,000 S1 Tshs 21,500 S2 = 23,800 REQUIRED Do these samples provide sufficient evidence for the management to conclude that the mean income has been increased by the advertising campaign? Test using a = 0.05. 2.
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