• Question 33 From a normal distribution with u = 85 and o = 4.6, samples of size 50 are chosen to create a sampling distribution. In the sampling distribution determine the probability that a sample mean is at most 86.184. %3D %3D P(a s 86.184) = %3! [three decimal accuracy] > Next Question

• Question 33 From a normal distribution with u = 85 and o = 4.6, samples of size 50 are chosen to create a sampling distribution. In the sampling distribution determine the probability that a sample mean is at most 86.184. %3D %3D P(a s 86.184) = %3! [three decimal accuracy] > Next Question

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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There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using %3D V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.
+ ill 2 Scores on the Scholastic Aptitude Test are normally distributed with µ = 500 and o= 100. Suppose we randomly select 20 persons from the population of all persons who take the test and compute the sample mean, A. What is the standard deviation of the sampling distribution of B. What will be the shape of the sampling distribution of ? ? e. What is the probability that the sample mean, will be greater than 560?
Question 3 What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 114.5 ft and standard deviation 58.7 ft. 200 trees. The bell curve below represents the You intend to measure a random sample of n distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. > Next Question
コ, ● Question 17 A distribution of values is normal with a mean of 139.3 and a standard deviation of 37.8. Find P. which is the score separating the bottom 64% from the top 36%. 64 PeA Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z or z-scores rounded to 3 decimal places are accepted.
': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?
please answer the question in the photo thank you :)
Question 2 of 10 To estimate the mean height of female high school juniors, you take a random sample of 30 female students and get these results (in inches): 72, 51, 67, 68, 61, 69, 58, 56, 60, 56 66, 61, 60, 59, 59, 54, 58, 53, 68, 63 57, 62, 63, 64, 56, 62, 58, 67, 57, 70 If the o is 5.3, based on past research, and you want to construct a 97% confidence interval using (estimate) ± (margin of error)= (estimate) ± z* what's your value for z*? O A. 1.645 В. 2.17 О с. 1.96 D. 2.576 O E. 1.88
With the diagram please
Question G
Question 2 > A population of values has an unknown distribution with μ = 6.3 and σ = 83.3. You intend to draw a random sample of size n = 55. What is the mean of the distribution of sample means? fã = (Please enter an exact answer.) What is the standard deviation of the distribution of sample means? σx (Please report your answer accurate to 2 decimal places.)
Using this data set What is the standard error of the relevant distribution? Ignoring that the number of men in the 2012 Survey was about 17,675, and the number of women was about 18,634, assume the samples were 100 men and 100 women in each Survey My worked solution is: P1: men proportion change = 15.5/100 = 0.155 N1 = 100 P2: women proportion change = 57.9/100 = 0.579 N2 = 100 {[0.155 * (1 - 0.155) /] + [0.579 * (1 - 0.579) / 100]} = 0.0037 Standard Error = 0.0037 is this correct?