Question

In: Statistics and Probability

Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful....

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.

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