Bill alther is a zoologist who studies anna's hummingbird (calypte anna).†

suppose that in a...

Mathematics, 02.12.2019 17:41 zurfluhe

# 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.)

Answers: 2

Mathematics, 04.02.2019 08:05

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Answers: 1

Mathematics, 01.02.2019 08:11

A15 foot ladder is leaning against the side of a building. the angle of elevation between the ground and the ladder is 75.5 how high up the side of the building does this ladder reach? round to the nearest tenth.

Answers: 1

Mathematics, 01.02.2019 07:33

Travis has decided to budget his spending money. he can spend no more than $143.15 every month. he has also decided to spend 5.2 times as much money on video games as he spends on the movies.what linear inequality describes this problem

Answers: 2

Mathematics, 22.09.2016 07:47

Mathematics, 31.08.2016 04:31

Mathematics, 07.09.2016 01:16

History, 14.04.2017 07:20

English, 09.02.2017 00:04

History, 23.04.2019 18:49

Mathematics, 03.05.2016 06:49

Mathematics, 20.05.2017 16:40

Mathematics, 02.08.2018 10:10

English, 05.09.2017 20:52