Let X be a random variable that has a skewed right distribution with mean μ-10 and standarddeviation σ 10. Which of the following histograms could display the distribution of the samplemean x from many random samples of size 400 from this population?(A)Frequency200-150-100500(B)200Frequency150100500010 20 30 40Sample Mean50810 12 14 16 18Sample MeanFrequency88888@(D)10020080-60-40-Frequency150-10020-5000-20 -10 0 10 20 30 40Sample Mean-100 10 20Sample Mean30(E)250-200Frequency150-10050-08910Sample Mean1112

The Central Limit Theorem (CLT) states that if you have a population with mean μ and standard…

Answered: Let X be a random variable that 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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Historically, the SAT score has unknown distribution with a mean of 1510 points and a standard deviation of 340.5 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 14. Explain why the Central Limit Theorem cannot be used. the original population is normally distributed although the sample size is small (n30) O the sample size is large (n>30) although the distribution of the original population is unknown
please state the approximate distribution of the sample mean
let x be a normal ramdom variable with a mean =169.5 and standard deviation =4.2 ramdom samples of fixed size n=30 are drawn from the distribution, mean, standard deviation od sample mean
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 1515% of UGPAs? (b) Between what two values does the middle 5050% of the UGPAs lie? mean is 3.22 standard deviation is 0.21
Having more than 1000 students in a year, assume that I choose a simple random samples of 30 final exams in my engineering economics class and compute the class average. The results show that 5% of the grades are over 2.1 and 5% are under 1.9. Using this information, determine (i) the population mean and (ii) the population standard deviation of the final exam. DO NOT USE EXCEL & PLEASE SHOW ALL CALCULATIONS AND STEPS.
A population of v alues has a normal distribution with μ=48.2 and σ=93.1You intend to draw a random sample of size n=232. Find the value separating the bottom 89% values from the top 11% values. Find the sample mean separating the bottom 89% sample means from the top 11% sample means.
Vehicle speeds at a certain highway location are believed to have approximately a normal distribution with mean µ = 50 mph and standard deviation σ = 5 mph. The speeds for a randomly selected sample of n = 25 vehicles will be recorded. (a) Give numerical values for the mean and standard deviation of the sampling distribution of possible sample means for randomly selected samples of n = 25 from the population of vehicle speeds. Mean = s.d.(x) = (b) Use the Empirical Rule to find values that fill in the blanks in the following sentence. For a random sample of n = 25 vehicles, there is about a 95% chance that the mean vehicle speed in the sample will be between and mph. (c) Sample speeds for a random sample of 25 vehicles are measured at this location, and the sample mean is 59 mph. Given the answer to part (b), explain whether this result is consistent with the belief that the mean speed at this location is μ = 50 mph. A sample mean of 59 mph (when n = 25) --Select--- be consistent with…
A random variable X is normally distributed with mean 32 and standard deviation 8.2 Find the z score for an individual score x = 23 Round to 2 decimals

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