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Table 8 Sample size comparison between the proposed plan and existing plan for \(\tilde{\alpha }=0.10;\beta =2\) and a = 1.0

From: Inspection plan for COVID-19 patients for Weibull distribution using repetitive sampling under indeterminacy

\(\tilde{\beta }\)

\(\frac{\mu_N}{\mu_{0N}}\)

IU=0.00

IU=0.02

IU=0.04

IU=0.05

Proposed

Existing

Proposed

Existing

Proposed

Existing

Proposed

Existing

0.25

1.1

180.96

229

167.43

206

158.45

190

152.44

188

0.25

1.2

55.27

65

49.78

60

48.58

59

48.38

56

0.25

1.3

31.20

36

26.98

35

26.05

33

27.77

32

0.25

1.4

20.21

25

18.62

23

17.60

22

18.00

18

0.25

1.5

13.71

17

16.85

16

10.47

15

11.57

15

0.25

1.8

6.95

11

8.00

11

10.82

10

8.23

9

0.25

2.0

7.42

10

6.75

10

6.00

9

7.76

9

0.10

1.1

263.63

371

250.98

352

233.82

324

220.09

317

0.10

1.2

78.21

109

79.30

104

75.79

99

67.40

97

0.10

1.3

43.98

56

36.43

55

34.72

51

36.26

51

0.10

1.4

26.78

38

26.29

36

26.89

35

23.41

35

0.10

1.5

19.27

30

19.59

28

19.95

27

18.92

24

0.10

1.8

13.62

15

8.74

14

11.31

14

11.16

13

0.10

2.0

10.25

13

8.74

13

9.66

12

9.05

9

0.05

1.1

313.09

494

289.79

462

271.36

431

261.00

416

0.05

1.2

88.23

146

91.16

138

80.65

129

78.19

119

0.05

1.3

50.18

73

44.56

69

43.38

66

38.63

65

0.05

1.4

33.51

49

30.35

44

27.18

42

28.07

41

0.05

1.5

22.62

38

19.74

37

20.04

35

18.92

30

0.05

1.8

13.24

22

12.52

21

13.51

20

11.65

18

0.05

2.0

11.67

20

9.99

18

9.66

17

11.65

16

0.01

1.1

405.20

229

370.60

206

349.70

190

345.60

188

0.01

1.2

115.10

65

111.20

60

98.57

59

98.24

56

0.01

1.3

60.36

36

54.33

35

52.56

33

49.45

32

0.01

1.4

40.78

25

37.17

23

34.68

22

34.57

18

0.01

1.5

29.01

17

30.69

16

24.68

15

25.42

15

0.01

1.8

15.97

11

13.37

11

14.35

10

14.17

9

0.01

2.0

16.25

10

13.07

10

11.13

9

10.62

9