Question: My results: For A I got 38.1 Z value of the same i got 32.9 For C i got 742.9 Need checking Bill Alther is a zoologist who studies Anna's...

Question:My results:

For A I got 38.1

Z value of the same i got 32.9

For C i got 742.9

Need checking

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 σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 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 α = 0.10.

(a) What is the level of significance? (Enter a number.)     _______

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.)  _______