Analysis of yearly sales of sugar between three wholesalesr in Kaduna Central Market by ISAAC - NATIONAL ASSOCAITION OF STATISTICS STUDENTS OF NIGERIA FPN CHAPTER

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Sunday, 29 July 2018

Analysis of yearly sales of sugar between three wholesalesr in Kaduna Central Market by ISAAC



TABLE 4.2 Data below shows the yearly sales (in bags) of sugar between three wholesalers in kaduna central market kaduna, kaduna state Nigeria.

YEAR
SHOP 1
SHOP 2
SHOP 3
2000
41
50
30
2001
40
50
31
2002
45
57
29
2003
49
55
35
2004
50
60
40
2005
67
90
51
2006
97
109
67
2007
100
125
88
2008
109
139
95
2009
115
145
91
2010
130
160
100
2011
141
187
112
2012
159
198
118
2013
170
200
120
2014
190
250
139
SOURCE : KADUNA CENTRAL MARKET KADUNA,
KADUNA STATE NIGERIA.
    

ANALYSIS OF DATA

The independent t–test for two samples (comparison of means between the three shops under study)

TABLE 4.4  Group statistics between shop 1 and shop 2 chiefdom.
Group Statistics


 Shops
N
Mean
Std. Deviation
Std. Error Mean
Yearly sales(in bags)
Shop 1
15
100.20
50.478
13.033
Shop 2
15
125.00
64.766
16.722

TABLE 4.5  Group independent sample test for equality of means and the levene’s test for equality of variance between shop 1 and shop 2

Independent Samples Test




Levene's Test for Equality of Variances
t-test for Equality of Means

F
Sig.
T
df
Sig. (2-tailed)


 Yearly sales
Equal variances assumed
1.257
.272
-1.170
28
.252

Equal variances not assumed


-1.170
26.424
.253











Hypothesis statement.
H0 : There is a significant difference in the mean sales between shop 1 and shop 2
H1: There is no significant difference in the mean sales between shop 1 and shop 2
Decision rule : Reject H0 if significant value   value, otherwise accept.
Decision : Since the significant value (0.252) is  value (0.05) we accept H0
Conclusion : There is a significant difference in the mean sales between shop 1 and shop 2


TABLE 4.6 Group statistics between shop 1 and shop 3
Group statistics


Shops
N
Mean
Std. Deviation
Std. Error Mean
Yearly sales
Shop 1
15
100.20
50.478
13.033
Shop 3
15
76.40
38.080
9.832

TABLE 4.7 Group independent sample test for equality of means and the levene’s test for equality of variance between shop 1 and shop 2
Independent Samples Test



Levene's Test for Equality of Variances
t-test for Equality of Means

F
Sig.
T
df
Sig. (2-tailed)


Ginger  yearly productioin
Equal variances assumed
1.061
.312
1.458
28
.156

Equal variances not assumed


1.458
26.037
.157


Hypothesis statement.
H0: There is a significant difference in the mean produce of ginger between shop 1 and shop 3.
H1: There is no significant difference in the mean sales between shop 1 and shop 3
Decision rule: Reject H0 if significant value   value, otherwise accept.
Decision: Since the significant value (0.156) is  value (0.05) we accept H0
Conclusion: There is a significant difference in the mean produce of ginger between shop 1 and shop 3 .



TABLE 4.8 Group statistics between shop 2 and shop 3.

Group Statistics


Shops
N
Mean
Std. Deviation
Std. Error Mean
Yearly sales
Shop 2
15
125.00
64.766
16.722
Shop 3
15
76.40
38.080
9.832


TABLE 4.9 Group independent sample test for equality of means and the levene’s test for equality of variance between Shop 2 and Shop 3
Independent Samples Test


Levene's Test for Equality of Variances
t-test for Equality of Means

F
Sig.
T
Df
Sig. (2-tailed)


Yearly Sales
Equal variances assumed
4.651
.040
2.505
28
.018

Equal variances not assumed


2.505
22.647
.020


Hypothesis statement.
H0 : There is a significant difference in the mean sales between shop 2 and shop 3
H1: There is no significant difference in the mean sales between shop 2 and shop 3
Decision rule: Reject H0 if significant value   value, otherwise accept.
Decision: Since the significant value (0.018) is  value (0.05) we reject H0
Conclusion: There is no significant difference in the mean sales between shop 2 and shop 3



TABLE 4.10 the table below shows the mean, standard deviation and total number of years in each of the three shops under study.
Descriptive Statistics

Mean
Std. Deviation
N
Shop 1
100.20
50.478
15
Shop 2
125.00
64.766
15
Shop 3

76.40
38.080
15




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