A fitness device company has just sold 100,000 devices to customers without performing a reliability test beforehand. The company promised a 1-year warranty assuming daily use. Due to the collection of real-time data recording from each device, the company knows the current status of all 100,000 devices. they have collected the following time to failure data on the first 25 failures (each TTF is in days) over the first 4 months of use. Assuming each customer uses the devices daily, and that the company must provide replacements for any device that fails before 365 days of use, conduct a Weibull analysis and predict how many warranty claims the company will have to cover.

TTF

41

44

62

67

77

77

78

79

83

87

89

92

93

96

100

107

111

116

116

117

117

118

119

120

120