A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5cm and a standard deviation of 0.5cm. You come to the store and buy 10 randomly-selected guppies and find that the mean length of your 10 guppies is 4.8cm. This makes you suspect that the mean fish length is not what the distributed is. To explore this further, you assume that the length of guppies is Normally claimed population. Below is
(a) What is the population in this situation, and what population parameters have we been given?
all guppies in the population
(b) The distribution of one sample is described in the opening paragraph. What information have we been given about this sample?
(c) Is the dotplot above a sampling distribution? Explain.
(d) Do you think the store is being honest about the length of its guppies? Justify your answer.
The Practice of Statistics, 4/e- Chapter 7
C 2011 BFW Publishers
on g e dn ddnao tore says t i.Toexplore this futheyou assume tht the lengh of gupp i Nomally claimed population. Below is a dotplot of the mcans from these 200 samples.
4.8
. Mean length, cm.
a What is the population in this situation, and what population parameters have we been given? all qopgiesin The Population
b The distribution of one sample is described in the opening paragraph. What information have we been given about this sample?
c Is the dotplot above a sampling distributionExplain.
(d) Do you think the store is being honest about the length of its guppies? Justify your answer
02011 BFW Publishers
The Practice of Seatistics, 4/e-Chapter 7