Question
SPSS Questions 1. The Data in the Excel file Q1-Q2.xlsx under Q1 are the means of 1000 samples of size 5 S5 and of size
SPSS Questions
1. The Data in the Excel file Q1-Q2.xlsx under Q1 are the means of 1000 samples of size 5 "S5" and of size 30 "S30" drawn from a Binomial distribution with n =15, and p =0.05.
A. Draw a histogram for both cases and comment on the distributions, i.e. is it (approximately) symmetric? Why yes/why not?
B. Find the mean and the standard error of both and compare them to the exact mean and standard error.
2. A company claims that the average weight for their watches is less than 125g. The data in the Excel file Q1-Q2.xlsx under Q2 are the weights of 20 randomly selected watches made by this company.
A. At = 0.05, is there enough evidence to support the company's claim?
B. Find the 95% confidence interval for the average weight of this company's watches?
Q2:
Watch Weight
1 172.26
2 98.95
3 81.56
4 132.98
5 127.16
6 89.78
7 151.82
8 114.57
9 103.21
10 163.56
11 140.52
12 120.64
13 145.3
14 165.68
15 112.9
16 70.97
17 102.55
18 143.72
19 105.46
20 73.69
Q1:
S5 S40
0.8 0.85
0.8 0.875
0.4 0.7
0.6 0.85
0.8 0.925
1.2 0.65
0.8 0.8
0.8 0.975
0.4 0.775
0.4 0.825
1 1
0.2 0.975
1.4 0.625
1 0.725
0.2 0.6
0.4 0.875
0.4 0.575
0.2 0.65
0.6 0.95
0.4 0.425
0.4 0.875
0.4 0.85
0.6 0.625
0.6 0.775
1.6 0.9
0.4 0.775
0.4 0.8
0.2 0.45
1.2 0.825
1 0.6
1.2 0.575
1.2 0.85
0.8 0.65
0.8 0.9
0.6 0.9
0.2 0.575
0.2 0.675
0 0.525
1.4 0.75
0.8 0.875
0.8 1
0.2 0.65
0.6 0.725
0 0.625
1.2 0.8
1 0.675
0.6 0.75
0.6 0.925
0.8 0.725
0.4 0.825
1.2 0.8
1.6 0.775
0.8 0.625
1.2 0.675
0.2 0.7
0.8 0.8
1.2 0.75
1.4 0.9
1 0.9
0.6 0.625
0.8 0.925
0.6 0.725
0.8 0.65
1 0.875
1 0.875
1.2 0.525
1 0.75
0.2 0.85
1.2 0.75
0.4 0.9
0.6 0.6
1 0.65
1.2 0.825
0.2 0.725
0.8 1.1
0.6 0.8
0.4 0.9
1 0.875
0.6 0.675
0.8 0.8
0.6 0.55
0.6 0.7
0.2 0.925
0.8 0.45
1.4 0.7
0.2 0.625
0.6 0.425
0.6 0.7
1.2 0.75
0.8 0.675
1 0.8
0.4 0.8
0.2 0.6
0.8 0.575
0.4 0.65
1 0.825
0.2 0.475
1 0.75
1.4 1
1 0.825
1 0.575
0.6 0.575
0.8 0.825
1 0.75
1.4 0.675
0.6 0.75
0.8 0.85
0.8 0.7
0.4 0.675
0.6 0.75
0.6 0.825
2 0.75
0.2 0.8
0.6 0.9
0.4 0.625
1 0.45
0.2 0.6
0.6 0.675
1.2 0.725
0.2 0.65
1.4 0.8
0.8 0.575
0.4 0.725
0.4 0.7
0.8 0.8
0.8 0.8
0.6 0.875
0.6 0.8
0.6 0.85
1 0.6
0.8 0.825
0.2 0.775
0.6 0.875
0.8 0.7
0.4 0.6
0.6 0.8
0.4 0.75
1 0.7
0.8 0.575
0.4 0.725
0.2 0.825
1.6 0.875
0.4 0.4
0.2 0.525
0.8 0.85
0.8 1
0.6 0.975
1.2 0.7
1 0.775
0.2 0.85
0.4 0.75
1 0.575
0.6 0.725
1.2 0.85
0.8 0.95
1 0.875
0.6 0.55
1.2 0.75
1.2 0.625
0.6 0.975
1 0.65
0.8 0.775
0.6 0.575
0.4 0.9
0.8 0.55
0.4 0.9
1.2 0.6
1.4 0.575
0.8 0.7
0.6 0.725
0.8 0.675
0.8 0.825
0.8 0.675
0.4 0.775
0.8 0.675
0.4 0.825
0.8 0.675
0.6 0.775
0.6 0.8
0.6 0.45
1 0.65
0.4 0.725
0.4 1.125
0.4 0.775
1 0.725
0.4 0.825
1 0.725
0 0.575
0.2 0.925
0.6 0.75
0.8 0.825
1 0.775
0.8 0.6
0.4 0.725
0.4 0.75
0.6 0.45
0.6 0.8
0.6 0.8
1 0.575
0.4 0.95
1.4 1.075
0.6 0.725
0.4 0.675
0.8 0.7
0.4 0.575
0.6 0.675
0.6 0.925
1.2 0.75
1 0.775
0.6 0.525
0.4 0.9
0.8 0.825
0.6 1.075
1 1.05
1.4 1.1
0.2 0.7
0.8 1.125
0.6 0.65
0.6 0.7
1 0.7
1.6 0.8
0.8 0.65
0.8 0.825
0.6 0.625
1 0.85
0.8 1.025
0.8 0.8
0.8 0.6
0.6 0.575
0.6 0.7
0.4 0.7
0.6 0.725
1.8 1.1
1 0.65
0.2 0.8
1.4 0.45
0.6 0.5
0.4 0.675
0.2 0.675
0.6 0.675
0.8 0.55
0.6 0.65
0.6 0.5
1.2 0.8
1.6 0.625
0.6 0.55
0.6 0.65
0.4 0.825
1.2 0.475
0.6 0.975
0.8 0.825
1 0.9
1 0.8
1 0.85
0.6 0.5
0.6 0.75
1.2 0.8
0.4 0.675
1.2 0.675
1.2 0.85
0.4 0.525
1 1.05
0.8 0.85
0.2 0.675
1 0.75
0.8 0.55
0.8 0.85
1.2 0.725
1.2 0.625
1.2 0.8
1.2 0.85
0.8 0.675
0.8 0.65
1.4 0.75
0.2 0.575
1 0.75
0.4 0.9
0.4 0.625
0.4 0.625
0.2 0.725
1.2 0.55
0.4 0.75
1.4 0.85
1.2 0.7
1 0.875
1 0.725
1.6 0.825
0.4 1.025
1 0.65
1 0.775
0.8 0.775
0.8 0.45
1 0.725
0.8 0.675
0.6 0.675
0 0.825
0.8 0.75
0.4 0.875
0.4 0.7
1.2 0.625
1 0.85
0.6 0.8
0.8 0.675
1.2 0.625
0.6 0.775
0.6 0.875
0.2 0.625
1 0.6
0.4 0.725
0.6 1.05
0.4 0.525
0.6 0.725
1.4 0.525
0.2 0.6
0.8 0.7
0.6 0.85
0.2 0.925
1.8 0.7
0.6 0.9
0.8 1.075
1.4 0.85
1 0.875
1.2 0.875
0.6 0.875
0.4 0.7
0.2 0.8
1 1.075
1.6 0.725
0.2 0.75
0.6 0.8
0.6 0.825
1.2 0.625
1 0.725
0.4 0.6
0.4 0.65
0.8 0.7
1 0.8
0.6 0.725
1.2 0.775
0.6 0.625
1 0.475
0.2 0.75
1.8 0.725
0.8 0.7
0.4 0.55
0.6 0.9
0.2 0.9
0.6 0.725
1 0.75
0.6 0.65
0.6 0.675
0.6 0.75
1.2 0.775
1.2 0.725
1.2 0.675
0.6 0.775
0.6 0.625
1.2 0.825
0.6 0.825
0.6 0.95
0.8 0.575
0.6 0.675
0.4 0.775
0.4 0.675
0.8 0.8
0.4 0.65
0.8 0.8
0.4 0.95
0.8 0.775
0.6 0.625
0.8 0.675
0.8 0.825
1.8 0.7
0.8 0.675
0.4 0.55
0.4 0.7
0.8 0.9
0.6 0.675
0.6 0.75
1 0.95
0 0.7
0.6 0.925
0.8 0.725
0.4 0.7
0.4 0.775
0.6 0.575
0.8 0.7
1 0.675
0.2 0.775
0 0.55
0.6 0.5
0.8 0.675
1 0.675
0 0.625
0.4 0.85
1.8 0.75
0.4 0.775
0.8 0.725
0.8 0.75
0.4 0.55
0.2 0.625
1.2 0.675
0.8 0.725
0.4 0.75
0.4 0.775
1 0.625
0 0.8
0.6 0.8
0.2 0.65
0.2 0.925
1.6 0.775
0.8 0.55
1 1.125
1.6 1.2
1.4 0.775
0.8 0.775
1.4 0.6
1 0.825
0.4 0.7
0.6 0.7
1.2 0.975
1 0.75
1.2 0.675
0.8 0.575
1.6 0.9
0.4 0.6
0.8 0.7
1 1
0.6 0.65
1 0.65
0.6 1
0.6 0.875
2.2 0.925
0.8 0.775
0.6 0.675
0.4 0.575
0.6 0.65
0.4 0.675
1 0.475
0.6 0.85
0.6 0.95
0.6 0.825
0.2 0.75
0.4 0.625
0.8 0.825
0.8 0.9
0.8 1.1
1.2 0.575
0.8 0.775
0.4 0.75
0.6 0.825
1.2 0.9
0.2 0.55
0.4 0.675
0.8 0.7
0.8 0.95
0.4 0.625
1.2 0.775
0.4 0.65
0.4 0.775
1.8 1
0.8 0.65
0.6 0.6
0.6 0.625
0.4 0.9
1.2 0.7
0.8 0.6
0.4 0.95
1 0.575
0.8 0.9
0.4 0.75
1 0.975
0.4 0.7
1.8 1.025
0.6 0.625
0.6 0.925
0.4 0.775
0.4 0.7
0.2 0.775
0.4 0.7
0.8 0.625
0.2 0.825
0.2 0.7
1 0.75
0.2 0.9
0.2 0.85
0.2 0.85
1.2 0.725
0.8 0.95
0.6 0.775
0.6 0.875
0.8 0.95
0.6 0.675
0.8 0.8
0.8 0.825
0.4 0.8
1.4 0.775
0.4 0.7
0.4 0.8
1.2 0.725
0.6 0.7
0.6 0.8
0.2 0.5
0.8 0.7
0.8 0.575
0.8 0.475
0.6 0.875
0.8 0.9
0.8 0.95
0.2 0.675
0.4 0.925
0.8 0.7
0.4 1.05
1.2 0.95
0.4 0.9
0.2 0.7
1.2 0.8
0.8 0.725
0.6 0.75
0.4 0.65
0.4 1.025
0.8 0.675
1 0.775
0.6 0.6
0.6 0.75
1 0.8
0.4 0.65
0.2 0.725
0.6 0.925
1 0.675
1.2 0.675
0.8 0.85
0.4 0.75
0.2 0.625
0.2 0.725
0.4 0.7
0.4 0.95
0.4 0.7
0.6 0.55
0.6 0.875
0.6 0.575
0.4 0.9
1.2 0.625
0.4 0.9
0.6 0.9
0.8 0.475
0.2 0.8
0.8 0.775
1 0.775
1.4 0.925
0.6 0.875
0.6 0.775
0.6 0.95
0.4 0.575
0.6 0.625
0.4 0.575
0.6 0.7
0.6 0.7
0.8 0.825
1.2 0.725
0.8 0.6
0.8 0.775
0.4 0.825
0.4 0.5
1.2 0.825
1 0.625
1 0.875
0.8 0.675
0.8 0.675
0.8 0.65
0.8 0.775
1 0.825
1.2 0.775
0.6 0.6
0.8 0.875
0.6 0.8
0.2 0.875
1 0.6
0.8 0.85
0.8 0.75
0.8 0.775
0.8 0.675
1.4 0.85
0.6 0.775
0.6 0.875
1.2 0.675
0.8 0.65
1 0.475
0.8 0.775
0.8 0.925
0.4 0.55
1.6 0.7
0.4 0.65
0.6 0.55
0.6 0.45
0.4 0.775
0.6 0.8
1.8 0.675
1.4 0.675
1.4 0.525
0.6 0.65
0.4 1.05
1.2 0.725
0 0.55
0.6 0.675
0.6 0.775
1 0.6
0.2 0.825
0.4 0.725
1 0.925
0.6 0.775
0.6 0.85
1 0.725
0.6 0.8
0.8 0.8
0.8 0.8
1 0.825
0.8 0.6
1.2 0.625
0.8 0.9
1.4 0.85
2.2 0.7
0.6 0.55
0.6 0.85
1 0.625
1.6 0.975
1.2 0.7
0.6 0.875
0.8 0.85
1 0.75
0.6 0.95
0.8 0.675
0.4 0.6
1 0.775
1 0.75
0.8 0.825
0.6 0.775
1 0.6
0.4 0.675
0.6 0.825
0.6 0.75
0.2 0.8
1.6 0.9
0.4 0.7
1.2 0.525
0.6 0.975
1 0.675
0.8 0.725
0.8 0.825
0.2 0.7
0.4 0.75
1 0.7
0.4 0.9
0.2 0.7
0.4 0.675
0.4 0.7
0.4 0.825
0.4 0.85
1 0.875
0.4 0.95
0.4 0.675
0.8 0.5
1.2 0.825
1.8 0.725
0.6 0.875
0.4 0.65
0.6 0.775
0.8 0.6
0.8 0.85
1.2 0.925
1.8 0.525
1.4 0.875
0.2 0.7
0.6 0.675
0.8 0.625
0.6 0.7
0.6 0.7
0.2 0.525
1 0.7
0.4 0.875
1.4 0.775
0.8 0.7
0.8 0.7
0.8 0.725
0.6 0.925
1 0.8
0.8 0.925
1.6 0.625
1.2 0.875
0.8 0.95
0.2 0.6
0.8 0.7
0.6 0.825
1.2 0.65
0.6 0.6
1.2 0.5
0.4 0.55
0.6 0.725
1.4 0.875
1 0.7
0.8 0.5
1 0.6
0 0.675
0.4 0.65
1 0.75
0 0.7
0.2 0.825
0.8 0.75
0.4 0.65
0.6 0.675
0.8 0.6
0.4 0.875
0.6 0.8
1.2 0.675
0.4 0.775
0.4 0.75
1.8 0.7
1.2 0.75
0.8 0.825
0.4 0.725
0.8 0.875
0.6 0.45
0 0.775
0.6 0.85
0.6 0.85
1.4 0.775
1.8 0.9
0.8 0.675
0.4 0.75
1.8 0.875
1.4 0.825
0.2 0.675
0.4 0.6
0.6 0.575
1 1
0.6 0.9
0.6 0.975
0.6 0.775
0.4 0.8
0.6 0.725
0.8 0.9
0.8 0.75
1.2 0.825
0.4 0.8
0.4 0.65
1.2 0.95
1 1.025
0.2 1.075
0.6 0.85
0.6 0.475
0.4 0.525
0.2 0.85
0 1.075
1.2 0.7
0.6 0.65
1.4 0.625
1 0.775
0.8 0.7
1 0.725
0.6 0.85
0.2 0.675
0.4 0.5
0.6 0.675
0 0.8
0.4 0.7
0.2 0.625
0.4 0.9
0.2 0.7
1.2 0.725
0.4 0.525
0.6 0.775
0.6 0.825
1 0.75
0.8 0.55
1 0.625
0.4 0.825
0.2 0.55
2 0.775
0.6 0.725
1 0.75
0.4 1.075
1.2 0.95
0.6 0.7
1 0.725
0.4 0.875
1 0.65
0.4 0.85
0.8 0.675
0.8 0.525
0.4 0.725
0.6 0.975
0.4 0.975
0.2 0.825
0.8 0.85
2 0.9
0.4 0.75
0.8 0.6
0.2 0.65
1 0.725
0.8 0.8
0.4 0.75
1.2 0.775
1 0.6
1 0.65
0.8 0.575
0.8 0.5
0.6 0.625
0.6 1.025
0.6 0.6
1 0.925
0.4 0.925
1 0.875
0.6 0.875
0.8 0.725
1.2 0.6
1 0.775
1.4 0.625
0.8 0.6
0 0.55
0.8 0.6
1 0.775
0 0.675
0.4 1.1
1 0.875
0.4 0.75
0.2 0.9
1 0.75
0.8 1.025
0.8 0.9
1.6 0.625
0.4 0.55
1 0.725
0.6 0.6
0.6 0.675
1.2 0.85
0.8 0.525
0.6 0.7
0.8 0.7
0.8 0.7
0.6 0.925
0.4 0.625
0.4 0.825
1 0.875
0.8 0.85
1.6 0.825
0.2 0.975
1 0.725
1 0.8
0.4 0.6
0.4 0.55
0.4 0.725
0.6 0.525
0.8 0.75
1 0.925
0.4 0.45
1.2 0.7
0.4 0.825
0.4 0.75
1.6 0.675
0.6 0.9
0.6 0.775
0.6 0.575
0.4 0.725
0.6 0.775
0.4 0.725
0.8 0.925
1.2 0.95
0.8 0.675
1 0.7
0.4 0.725
1.6 0.6
1.2 0.675
0.6 0.775
1.4 0.775
0.2 0.675
0.6 0.475
1.6 0.7
1.6 0.775
1 0.725
0.8 0.7
0.8 0.675
0.8 1.25
0.6 0.775
1.2 0.8
0.4 0.875
0.6 0.775
0.8 0.925
0.6 0.9
0.2 0.8
0.8 0.825
0.6 0.875
0.8 0.775
1.2 0.625
1.2 0.875
0.4 0.725
0.4 0.6
0.4 1
1.2 0.725
0.8 0.625
1 0.775
1.6 0.85
1.2 0.75
1.6 0.825
0.8 0.6
1.8 0.8
1 0.6
1 0.8
0.8 0.65
0.4 0.65
0.2 0.6
1.8 0.7
1 0.7
1.2 0.825
0.4 0.7
1.2 0.75
0 0.8
0.8 0.7
0.6 0.725
0.4 0.525
1 0.85
0.8 0.825
1.2 0.7
0.6 0.5
1.6 0.825
1.4 0.525
0.6 0.8
0.8 1
0.4 0.8
1.6 1
0.8 0.825
0.8 0.75
1.6 0.525
0.8 0.65
0.2 0.775
1 0.75
0.2 0.475
1 0.725
0.2 0.975
0.6 0.425
0.4 0.85
0.6 0.55
0.8 0.675
0.8 0.8
0.6 0.85
1.6 1.025
0.6 0.625
0.6 0.525
1 0.75
0.6 0.775
1 0.65
0.8 0.85
0.6 1
0.4 0.825
0.6 0.8
0.8 0.55
0.8 0.55
0.6 0.65
0.4 0.725
0.4 0.925
0.8 0.85
0.4 0.85
0.6 0.725
0.6 0.825
1.2 0.9
1.2 0.725
0.8 0.875
0.4 0.925
0.6 0.775
1.8 0.875
1.4 0.425
1 0.875
0.6 0.85
1 0.85
1.8 0.85
0.4 0.85
1.4 0.625
0.4 0.925
0.6 0.825
1.2 0.7
0.6 0.75
0.6 0.775
0.6 0.65
1 0.625
0.4 0.6
0.8 0.85
0.8 0.5
0.6 0.75
0.2 0.825
0.2 0.55
0.4 0.675
1 0.7
0.6 0.725
0.6 0.675
0.6 0.725
0.6 0.675
0.2 0.75
1.6 0.65
0.8 0.775
1.4 0.725
0.4 0.65
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