**Text Transcription:**Allen's hummingbird (*Selasphorus sasin*) has been studied by zoologist Bill Alther. Suppose a small group of 12 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is \( \bar{x} = 3.15 \) grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with \( \sigma = 0.22 \) gram.When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)\[ z_c = \](a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)- Lower limit: \[ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \]- Upper limit: \[ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \]- Margin of error: \[ \ \ \ \ \ \ \ \ \ \ \ \ \](b) What conditions are necessary for your calculations? (Select all that apply.)- [ ] \(\sigma\) is known- [ ] \(\sigma\) is unknown- [ ] uniform distribution of weights- [ ] normal distribution of weights- [ ] \(n\) is large(c) Interpret your results in the context of this problem.- [ ] We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval.- [ ] The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.- [ ] The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.- [ ] We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval.(d) Which equation is used to find the sample size \( n \) for estimating \( \mu \) when \( \sigma \) is known?\[ n = \left( \dfrac{z_c \sigma}{E} \right)^2 \]

Answered: Image /qna-images/answer/f25b9510-0246-4570-8c4e-0f879f6a427c.jpg

Answered: Allen's hummingbird (Selasphorus sasin)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To…
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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increasefor company 24 25 23 18 6 4 21 37 A: Percent increasefor CEO 21 23 22 14 −4 19 15 30 Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. (Let d = B −…
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(Same question just could not fit all into one photo)
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. I need help with sketchng the distribution, (d) and (e)
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOS) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increase 24 22 18 18 6 4 21 37 for company A: Percent increase 22 30 23 14 -4 19 15 30 for CEO Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. Solve the problem using the…
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