Statistical Methods II Assignment 2

UU-MTH-3000 Statistical Methods II Assignment 2
Question 1
Assignment 2: Part A
Given the following Data
Branch Managed
by Harrison
Branch Managed
by Dale
Branch Managed
by Stevenson
7.2 8.8 6.9
6.4 10.7 8.7
10.1 11.1 10.5
11 9.8 11.4
9.9
10.6
Using an α =0.01 level of significance, the foolowing test are carried out.
Hypothesis test:
H0 μ1=μ2=μ3 H1 Not all the means are equal
Calculation to test the hypothesis

Branch Managed
by Harrison
Branch Managed
by Dale
Branch Managed
by Stevenson G^2
7.2 8.8 6.9 51.84 77.44 47.61
6.4 10.7 8.7 40.96 114.49 75.69
10.1 11.1 10.5 102.01 123.21 110.25
11 9.8 11.4 121 96.04 129.96
9.9 98.01
10.6 112.36
Total 55.2 40.4 37.5
G_total 133.1
G_total sq 1300.87
SS_T 35.46928571
SS_between 2.041785714
SS_within 33.4275
df_between 3
df_within 11
df_total 14
MS_between 0.680595238
MS_within 3.038863636
F_statistic 0.223963731
p_value 0.877802
The P value is 0.877802
Since, the P value is greater than the level of significant α =0.01, we do hot reject H0
At 1% level of significant there is insufficient evidence to conclude that the mean are not all
equal.
Assignment 2: Part B
Given the following data

Weight of Mail
(pounds)
Number of
employees
11 6
20 10
16 9
6 5
12 8
18 14
23 13
25 16
a) The scatter plot is shown in figure 1 below.
b) The regression modules
i) Linear