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. 4.2 4.8 3.1 3.7 2.9 3.8 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 o = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean vweight is u = 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 a = 0.10. %3| (a) What is the level of significance? (Enter a number.) 10 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H < 4.3 g; H: µ = 4.3 g; left-tailed %3D O Ho: H = 4.3 g; H: u > 4.3 g; right-tailed O Ho: H = 4.3 g; H: u < 4.3 g; left-tailed O Ho: H = 4.3 g; H: u + 4.3 g; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. The Student's t, since n is large with unknovwn o. AR The standard normal, since we assume that x has a normal distribution with known o. Compute thez value of the sample test statistic. (Enter a number. Round your answer to twvo decimal places.) -2.19 Xx1 (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) 0072 Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.) 9:37 AM wwwww 1/10/2020 DELL

A rectangular dock that measures 12 feet by 16 feet is treated with auniform strip of nonslip coating along both sides and both ends. How wide isthe strip if one-half of the dock is treated? If we let x represent the width of thestrip, then we can use the equation (16 -2x)(12 - 2x) = 1/2(12)(16) to determinethat the width of the strip is 2 feet. I've been doing well with polynomials I just do not understand visually what "treated along both ends and sides" mean. What is the end of a rectangle? Also, I do not understand the 2 in '2x' (2 times the width of the strip) why is that added? I guess I am more concerned about how the equation actually maps to the real world scenario.

1. Solve for x: 35 – 12e-4x = 0

B.Solve, correct to 2 decimal places and also represent graphically the equation 2lnx +x =2 using the methodof bisection.

(5x + 3y = 1 (5x- y = 13

This was not the correct quadratic model for the data

Perform the following operations

Jane collects data from 40 elementary school students and finds that the relationship between age (x) and score on a certain test (y) is given by y=3.2x+45. What can she extrapolate about the score a 16-year old will get on the test?