The proportion of roosters kept within a farm for certain species is 0.23. Suppose a group of researchers randomlysamples 41 farms raising this species, counts the number of roosters, and records the sample proportion of roosters. Theyrepeat this 1200 times, and build a distribution of sample proportions.(a) What is this distribution called? Sampling Distribution 8.(b) Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed? Symmetric e(c) Calculate the standard error of this distribution. Round answer to four decimal places(d) Suppose the researchers budget is reduced and they are only able to collect random samples of 10 farms. The sampleproportion of roosters is recorded, and we repeat this 1200 times, and build a new distribution of sample means. What isthe standard error of this new distribution? Round answer to four decimal places

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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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After conducting a literacy test on inmates, the evaluator realizes that the test was much more difficult than expected. The shape of the distribution would be? (normal, positively skewed, negatively skewed, or bell-shaped?) How do I recognize which one it is?
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
Recent studies have shown that about 16% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 52 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Find the mean of the sampling distribution of p̂.
I want a clear explanation.Plz, do asap.
Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
Can you please explain to me a good example of what the mean of sampling distribution is?
What will happen to the mean of the sampling distribution of the sample means if the sample size increases?
Suppose that 80% of apples are worm-free. Explain why it would not be unusual to find 84% of a simple random sample of 120 apples to be worm-free but it would be unusual to find 84% of a simple random sample of 480 apples to be worm-free. Use facts about the sampling distributions of sample proportions when n = 120 and when n = 480 to support your explanation.
Suppose the true proportion of voters in the county who support a specific candidate is 0.52. Consider the sampling distribution for the proportion of supporters with sample size n = 142.What is the mean of this distribution? What is the standard error of this distribution?
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
when a population distribution is symmetric, unimodal, without outliers?
Suppose the percentage of married couples who own a home is 33% for a given population. What is the standard error of the sampling distribution of proportions for the sample sizes n = 200, n = 300, and n = 400?

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