Let X represent the full height of a certain species of tree. Assume that X has a normal probabilitydistribution with μ = 248.8 ft and o = 5.1 ft.You intend to measure a random sample of n =a. What is the mean of the distribution of sample means?Hãft=b. What is the standard deviation of the distribution of sample means (i.e., the standard error inestimating the mean)?0x =241 trees.P(x > 249)ftc. What is the probability that the average height of a random sample of 241 trees is larger than 249?Round answer to 4 decimal places.=

From the provided information, Mean (µ) = 248.8 Standard deviation (σ) = 5.1 Sample size (n) = 241

Answered: Let X represent the full height of 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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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…
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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.
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution? Choose the correct answer below. ... OA. The mean and standard deviation have the values of µ = 0 and o=0. OB. The mean and standard deviation have the values of µ = 0 and o= 1. OC. The mean and standard deviation have the values of μ = 1 and o=1. O D. The mean and standard deviation have the values of μ = 1 and σ = 0.
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The 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 219 if μ=218 and σ=5.6. For a sample of n=65, the probability of a sample mean being greater than 219 if μ=218 and σ=5.6 is
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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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