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Table 7 Sample size comparison between the proposed plan and existing plan for \(\tilde{\alpha }=0.10;\beta =2\) and a = 0.5

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

517.20

646

491.58

617

456.12

573

449.42

558

0.25

1.2

155.09

198

150.09

181

136.88

172

134.22

167

0.25

1.3

85.43

110

80.86

103

76.77

97

74.76

94

0.25

1.4

54.61

66

52.16

62

42.59

59

47.73

58

0.25

1.5

40.34

47

45.48

45

38.75

42

35.43

41

0.25

1.8

28.00

29

20.75

27

19.54

25

18.53

25

0.25

2.0

21.00

21

21.00

20

20.00

19

11.94

19

0.10

1.1

778.83

1122

731.36

1049

693.87

993

666.03

967

0.10

1.2

231.97

327

218.82

315

204.39

298

197.78

285

0.10

1.3

126.10

174

114.70

164

108.58

155

105.81

151

0.10

1.4

83.19

117

78.82

110

68.56

105

69.39

101

0.10

1.5

61.36

84

52.13

79

49.61

76

58.24

73

0.10

1.8

34.22

50

32.40

47

35.08

45

29.81

44

0.10

2.0

26.36

36

24.93

34

23.66

32

22.99

31

0.05

1.1

921.90

1467

860.99

1370

809.80

1297

789.07

1257

0.05

1.2

276.86

435

258.41

411

243.33

383

237.39

373

0.05

1.3

148.49

230

142.08

218

127.94

213

126.23

200

0.05

1.4

97.89

153

89.79

145

90.71

142

82.73

132

0.05

1.5

74.60

112

64.99

106

65.87

100

60.20

98

0.05

1.8

51.50

64

37.07

60

35.08

57

34.70

55

0.05

2.0

35.44

49

33.32

46

31.33

44

30.38

44

0.01

1.1

–

646

–

617

–

573

–

558

0.01

1.2

351.10

198

331.10

181

312.40

172

301.03

167

0.01

1.3

187.90

110

169.80

103

166.28

97

154.38

94

0.01

1.4

120.60

66

113.10

62

107.50

59

104.49

58

0.01

1.5

87.32

47

82.88

45

82.24

42

75.69

41

0.01

1.8

49.47

29

50.64

27

48.14

25

46.16

25

0.01

2.0

46.08

21

42.60

20

40.05

19

31.76

19

  1. Here hyphens (−) indicates that the parameters cannot be found to satisfy conditions