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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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