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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).+ Suppose that in a remote part of the Grand Canyon, a random sample of

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).+ Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds In this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.86 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is , = 4.65 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.65 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 4.65 g; H1: H > 4.65 9; right-tailed O Holl

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