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 x bar = 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. (a) What is the level of significance?

(b)Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) (c)Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)