, 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.)

### Another question on Mathematics

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.
Mathematics, 03.02.2019 02:52
Solve the triangle. a = 21°, c = 105°, c = 5