DataAnalyticsExamProposal.xlsx
Ex 1 and 2
N of observation
Package size in grams
1
984
2
1037
3
1017
Exercise 1
(30 points)
4
1012
You are producing cornflakes and there is a new law that requires you to publish on the package 99% confidence interval for the weight of the cornflakes pack.
5
1012
Assume that population standard deviation (aka sigma) is known and equal to 25 grams.
6
1041
Construct 99% confidence interval and briefly interpret it with 1-2 sentences.
7
980
8
1028
Exercise 2
(30 points)
9
960
You are producing cornflakes and there is a new law that requires you to publish on the package 99% confidence interval for the weight of the cornflakes pack.
10
1032
Assume that population standard deviation is not known and you need to estimate it using the sample data.
11
981
Construct 95% confidence interval and briefly interpret it with 1-2 sentences
12
982
13
1016
14
972
15
982
16
986
17
1018
18
1047
19
964
20
969
21
972
22
1018
23
1005
24
969
25
975
26
1004
27
987
28
1026
29
966
30
952
31
1009
32
997
33
974
34
959
35
1001
36
1012
37
1039
38
1037
39
993
40
964
41
951
42
987
43
977
44
961
45
1029
46
1015
47
954
48
1004
49
985
50
1035
51
978
52
1008
53
1026
54
1042
55
980
56
1049
57
1025
58
1029
59
1007
60
1048
61
979
62
968
63
973
64
1020
65
976
66
1013
67
1009
68
968
69
1033
70
970
71
954
72
1011
73
952
74
1026
75
1027
76
1002
77
1004
78
963
79
1034
80
1034
81
957
82
1013
83
965
84
954
85
976
86
950
87
951
88
996
89
1037
90
996
91
1041
92
951
93
998
94
1036
95
1041
96
1050
97
996
98
1039
99
1000
100
959
Ex 3
N of observation
Price per liter of gasoline, EUR
1
1.8
2
1.66
Exercise 3
(40 points)
3
1.73
The prime minister of one european country said that the average gasoline price in his country is 1.7 EUR.
4
1.76
His opponents claim that the true (population) gasoline price is higher than 1.7 EUR due to elevated inflation.
5
1.82
Assume the population standard deviation is known and it is 0.06 EUR.
6
1.78
Test the null hypothesis that the population average (mu) gasoline price is 1.7
7
1.7
against one-sided alternative that population average gasoline price is bigger than 1.7 EUR.
8
1.75
Use alpha=0.01 and critical value approach.
9
1.82
Interpret the result in 1-2 sentences.
10
1.83
11
1.82
12
1.85
13
1.78
14
1.68
15
1.82
16
1.71
17
1.82
18
1.67
19
1.8
20
1.74
21
1.69
22
1.65
23
1.77
24
1.74
25
1.78
26
1.67
27
1.76
28
1.8
29
1.78
30
1.74
31
1.69
32
1.83
33
1.72
34
1.76
35
1.82
36
1.74