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
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
State the null hypothesis
What kind of test is this?
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
Compute the sample test statistic based on your choice of the distribution. (Round your answer to two decimal places.)
(c) Find the P-value. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in the previous parts, state your decision. Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
(e) State your conclusion.
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