Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Ca

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Bill Alther is a zoologist who studies Anna's hummingbird(Calypte anna).† Suppose that in a remote part of theGrand Canyon, a random sample of six of these birds was caught,weighed, and released. The weights (in grams) were as follows.
The sample mean is x = 3.75 grams.Let x be a random variable representing weightsof hummingbirds in this part of the Grand Canyon. We assumethat x has a normal distributionand 𝜎 = 0.68 gram. Suppose it is knownthat for the population of all Anna's hummingbirds, the mean weightis 𝜇 = 4.45 grams. Do the data indicatethat the mean weight of these birds in this part of the GrandCanyon is lessthan 4.45 grams? Use 𝛼 = 0.10.
- What is the level of significance?
- Compute the z value of the sample teststatistic. (Round your answer to two decimal places.)
- Find (or estimate) the P-value. (Roundyour answer to four decimal places.)
-State the null and alternate hypotheses. Will you use aleft-tailed, right-tailed, or two-tailed test?