Question: During the production of a textbook, there are many steps between when the author begins preparing the manuscript and when the book is finally printed and bound. Tremendous effort is made to minimize the number of errors of any type in the text. One type of error that is especially difficult to eliminate is the typographical error that can creep in when the book is typeset. The Prolythic Type Company does contract work for many publishers. As part of its quality control efforts, it charts the number of corrected errors per page in its manuscripts. In one particularly difficult to typeset book, the following data were observed for a sample of 15 pages (in sequence):
Page 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Errors 2 4 1 0 6 7 4 2 9 4 3 6 2 4 2
Is there sufficient evidence to conclude the median number of errors per page is greater than 6?