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 3.1T he sample mean is= 3.75 grams. Letxbe a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume thatxhas a normal distribution and=0.64gram.Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is=4.30grams.Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than4.30grams?Use=0.10.(a)What is the level of significance? (Enter a number.)

(B) Compute thezvalue of the sample test statistic. (Enter a number. Round your answer to two decimal places.)

(c)Find (or estimate) theP-value. (Enter a number. Round your answer to four decimal places.)