Is each conclusion true or false?
Explain.
a) The mode number of books
read last month by students in
James’ class is 5. Therefore, most
of the students read 5 books.
b) A random sample of 100 people
had a mean income of $35 000.
Therefore, a random sample of
200 people would have a mean
the income of $70 000.
a) More of the students read 5 books rather than any other number of books.
However, it may not be true that "most" of the students read 5 books; this means that
over 50% read 5 books; not necessarily true.
b) If a random sample of 100 persons have a mean of $35,000, it is very likely that a
random sample of 200 persons will have a mean close to $35,000 also.