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 mean is x = 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 = 0.72 gram.
suppose it is known that for the population of all anna's hummingbirds, the mean weight is μ = 4.55 grams.
do the data indicate that the mean weight of these birds in this part of the grand canyon is less than 4.55 grams? use α = 0.10.
(a) what is the level of
state the null and alternate hypotheses. will you use a left-tailed, right-tailed, or two-tailed test? select a, b, c, or d
a. h0: μ = 4.55 g; h1: μ < 4.55 g; left-tailed
b. h0: μ < 4.55 g; h1: μ = 4.55 g; left-tailed
c. h0: μ = 4.55 g; h1: μ ≠ 4.55 g; two-tailed
d. h0: μ = 4.55 g; h1: μ > 4.55 g; right-tailed
(b) what sampling distribution will you use? explain the rationale for your choice of sampling distribution. select a, b, c or d
a. the student's t, since n is large with unknown σ.
b. the standard normal, since we assume that x has a normal distribution with unknown σ.
c. the student's t, since we assume that x has a normal distribution with known σ.
d. the standard normal, since we assume that x has a normal distribution with known σ.
what is the value of the sample test (round your answer to two decimal places.)
(c) find (or estimate) the p- (round your answer to four decimal places.)
let the number of weeks = x
weight = 3 * (1+0.05)^x
weight = 3*(1.05)^x
see picture for the graph:
answer: 50% chance or 3 out of 6 chance.
suppose that in a...