Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) 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 = 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 ? = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. Level of significance = .10 Null and alternate hypotheses. - H0: ? = 4.3 g; H1: ? < 4.3 g; left-tailed Sampling Distribution - The standard normal, since we assume that x has a normal distribution with known ? Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) 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
Level of significance = .10
Null and alternate hypotheses. - H0: ? = 4.3 g; H1: ? < 4.3 g; left-tailed
Sampling Distribution - The standard normal, since we assume that x has a normal distribution with known ?
Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.)
Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)
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