also,can you tell me when you reject for the z-test, please? Thank you Suppose B
ID: 3231286 • Letter: A
Question
also,can you tell me when you reject for the z-test, please? Thank you
Suppose Burger King has run a major advertising campaign the hopes of increasing monthly sales. To investigate the effectiveness of this campaign, Burger King randomly selected six restaurants and recorded the monthly sales before and after the advertising. The following data represents these sales figures in thousands of dollars. If Population 1 is defined as the advertising campaign and Population 2 is defined as sales before the advertising campaign, and using alpha = 0.05, the conclusion for this hypothesis test would be that because the test statistic is A) less than the critical value, we can conclude that the average restaurant sales per month after the advertising campaign are higher than the average restaurant sales per month before the advertising campaign. B) more than the critical value, we can conclude that the average restaurant sales per month after the advertising campaign are higher than the average restaurant sales per month before the advertising campaign. C) less than the critical value, we cannot conclude that the average restaurant sales per month after the advertising campaign are higher than the average restaurant sales per month before the advertising campaign. D) more than the critical value, we can conclude that the average restaurant sales per month after the advertising campaign are less than the average restaurant sales per month before the advertising campaign.Explanation / Answer
Restaurant
After(X)
Before(Y)
di
di^2
(d-d^bar)2
1
123
107
16
256
81
2
122
110
12
144
25
3
145
143
2
4
25
4
156
168
-12
144
861
5
160
145
15
225
64
6
134
125
9
81
4
Total
840
798
42
854
560
d^bar =d /n = 42 /6 =7
standard deviation S2 = (d-dbar)2
=560/6-1
=112
S =sqrt(112)
=10.58
test statistic tcal= d^bar /(S/sqrt(n))
=7/ (10.58 /sqrt(6)
=1.621
tcal =1.621
df =5
=0.05
critical value tc =t0.025,df=5 =2.571
tcal < tc , accept null hypothesis ( fail to reject Ho)
conclusion :
If Population 1 is defined as sales after the advertising campaign and Population 2 is defined as sales before the advertising campaign, and using ? = 0.05, the conclusion for this hypothesis test would be that because the test statistic is
less than the critical value, we cannot conclude that the average restaurant sales per month after the advertising campaign are higher than the average restaurant sales per month before the advertising campaign
option C is correct
Restaurant
After(X)
Before(Y)
di
di^2
(d-d^bar)2
1
123
107
16
256
81
2
122
110
12
144
25
3
145
143
2
4
25
4
156
168
-12
144
861
5
160
145
15
225
64
6
134
125
9
81
4
Total
840
798
42
854
560
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