question archive A manufacturer of television picture tubes has a production line that used to produce an average of 100 tubes per day

A manufacturer of television picture tubes has a production line that used to produce an average of 100 tubes per day

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A manufacturer of television picture tubes has a production line that used to produce an average of 100 tubes per day. Because of new government a regulation, a new safety device is installed, which the manufacturer believes will reduce average daily output. After installation of the safety device, a random sample of 15 days' production was recorded, as follows:

 

93, 103, 98, 101, 93, 107, 96, 94, 101, 88, 98, 94, 101, 92, 96

 

Assuming that the daily output is normally distributed, is there sufficient evidence to allow the manufacturer to conclude that average daily output has decreased following installation of the safety device? (Use a significance level of 0.05).

 

  Given your answer to part b., are you vulnerable to a Type I or Type II error? Explain why, in a single sentence.

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