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sam has a bunch of pipe cleaners , he wanted to cut each one in two equal pieces. Unfortunately, he was in a rush and

sam has a bunch of pipe cleaners , he wanted to cut each one in two equal pieces. Unfortunately, he was in a rush and simply cut each pipe cleaner into two pieces without paying much attention to making the two pieces equal in length. He employed this method of cutting each pipe cleaner into two "equal" parts and created a collection of samples . He would like to know if it is plausible that your sample of pipe cleaner pieces have an average length of 6 inches (assuming the length of the pipe cleaners were 12 inches)? Construct a 95% and 99% confidence interval for your sample

1 2 3 4 5 6 7 8 9 10 11 12 AVERAGE
0 0 0 0 0 3 3 2 7 2 1 2 8.7
t@9..t@99% SD n
2.09 2.86 2.06 20

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