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In: Statistics and Probability

Suppose the historical mean thickness of the ice just off the coast of Barrow, Alaska, is...

Suppose the historical mean thickness of the ice just off the coast of Barrow, Alaska, is 3.32 meters. Many scientists are concerned about changes in the ice due to global warming and ice streams that have slowed or halted. A random sample of the ice thickness near Barrow during 2008 was obtained with n = 28, and the sample mean is 4.036 meters. Assume Normality of ice thickness distribution and σ = 2.8 meters.

a. Conduct a two-sided hypothesis test to determine whether there is any change in the mean ice thickness. Use α = 0.01.

b. Find the probability of a type II error if the true ice mean thickness is 3.0; that is, find β(3.0).

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orchestra answered 2 years ago
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