Calculus and Above

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I am reviewing the incidence...

I am reviewing the incidence of a particular type of failure in a product. I have the history of 1438 products that were manufactured over 21 years and I have the number of failures that occurred (only 8 in total) and the year of manufacture of the failed products (details below).

There is what appears to be a significant cluster of failures from one year - 2002. Given the small number of failures in total I'd be very grateful to know if I have enough data to draw statistically valid conclusions.

Many thanks,

Mick

Data

Year No Failures

Built

1995 21 0

1996 30 0

1997 60 0

1998 50 0

1999 103 0

2000 54 2

2001 63 1

2002 45 4

2003 39 0

2004 35 0

2005 44 0

2006 60 0

2007 83 0

2008 64 0

2009 89 1

2010 71 0

2011 76 0

2012 82 0

2013 99 0

2014 99 0

2015 98 0

2016 73 0

There is what appears to be a significant cluster of failures from one year - 2002. Given the small number of failures in total I'd be very grateful to know if I have enough data to draw statistically valid conclusions.

Many thanks,

Mick

Data

Year No Failures

Built

1995 21 0

1996 30 0

1997 60 0

1998 50 0

1999 103 0

2000 54 2

2001 63 1

2002 45 4

2003 39 0

2004 35 0

2005 44 0

2006 60 0

2007 83 0

2008 64 0

2009 89 1

2010 71 0

2011 76 0

2012 82 0

2013 99 0

2014 99 0

2015 98 0

2016 73 0

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