A Naturalist Measures the Wing Span of Four Butterflies

Essay

A naturalist measures the wing span of four butterflies. The data are
5 9 5 5
Let µ =population mean wingspan in centimeters.
(a) Formulate the hypotheses when the intent of the test is to show that µ > 4.2.
(b) Assuming that wing span has a normal distribution, conduct a test of hypotheses. Take α = .10
(c) Based on the conclusion to your test in Part a, what error could you have made.
(d) Explain why this possible error will seldom occur.