In: Statistics and Probability
Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful. The average fisherman’s catch has been μ=8.8 Atlantic salmon per day. (Source: National Symposium on Catch and Release Fishing, Humboldt State University). Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day: 12 6 11 13 5 0 3 7 8 7 6 3 9 12
a) Find the summary statistics for this data
b) This is a small sample problem. Does it seem reasonable to assume that the distribution of this variable is distributed normally?
c) Construct a 95% Confidence Interval (C.I.) using a t-value.
d) Conduct a hypothesis test to verify the claim that the population average catch per day is now different from 8.8. Use an α level of .05. Compare this result with the C.I. in part c above.