A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5 cm and a standard deviation of 0.5 cm. You come to the store and buy 10 randomly selected guppies and find that the mean length of your 10 guppies is 4.8 cm. This makes you suspect that the mean fish length is not what the store says it is. To explore this further, you assume that the length of guppies is Normally distributed and use a computer to simulate 200 samples of 10 guppies trom the store's claimed population. Below is a dotplot of the means from these 200 samples.

a) What is the population in this situation, and what population parameters have we been given?

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.