A population of values has a distribution with urandom sample of size n=235.6 and o 32.1. You Intend to draw a58.According to the Central Limit Theorem:(a) What is the mean of the distribution of sample means?(b) What is the standard deviation of the distribution of sample means?(Report answer accurate to 4 decimal place.)(c) In a random sample of n=58, what is the probability that its sample mean is more than 235.3?Round to three decimal places.(d) In a random sample of n3D58, what is the probability that its sample mean is less than 232.8? Giveyour answer to three decimal places.Submit Question

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Answered: A population of values has a…

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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4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…
he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean ▼ would not would be considered unusual because it ▼ does not lie lies within the range of a usual event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.
A. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 6,900. (Round your answer to four decimal places.) B. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is one standard deviation below the mean of the sums. (Round your answer to two decimal places.) C. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is 1.4 standard deviations below the mean of the sums. (Round your answer to two decimal places.)
The average age of all employees is 25 years, and the standard deviation of the ages of all employees is 3 years. Suppose 100 employees are randomly selected.
Twenty batteries were tested to see how many hours they would last. The frequency distribution of the data is shown below. (a) Find mean (b) Find the standard deviation (c) Modal class and the modal value (d) Using Chebyshev's theorem, find the range in which at least 84% of the data values will fall.
The average THC content of marijuana sold on the street is 11%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. a. What is the distribution of X? X - N( 11 1 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. Round to 4 decimal places. c. Find the 77th percentile for this distribution. Round to 2 decimal places. %
From a sample with n = 12, the mean number of televisions per household is 2 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 0 and 4 televisions. At least of the households have between 0 and 4 televisions. (Simplify your answer.)
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.

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