A random sample of sizen= 150 is taken from an infinite population with mean=5 and variance 10. a. Use the result of the Central Limit Theorem to determine the probability that X will fall between 4.5 and 5.2. b. Would your answer to part "a" change if the population variance is unknown and we estimate the population variance using the sample variance = 10? Explain your answer and be sure to discuss any assumptions needed.

A random sample of sizen= 150 is taken from an infinite population with mean=5 and variance 10. a. Use the result of the Central Limit Theorem to determine the probability that X will fall between 4.5 and 5.2. b. Would your answer to part "a" change if the population variance is unknown and we estimate the population variance using the sample variance = 10? Explain your answer and be sure to discuss any assumptions needed.

Name: A random sample of size n = 150 is taken from an infinitepopulation w
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A random sample of size n = 150 is taken from an infinitepopulation with mean=5 and variance = 10.a. Use the result of the Central Limit Theorem to determine theprobability that X will fall between 4.5 and 5.2.b. Would your answer to part “a" change

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

If you have a consistent estimator, what will happen as you increase the sample size? (A The variance gets smaller. B The value of the estimator is equal to the value of the parameter. The value of the estimator approaches the value of the parameter. D The standard deviation approaches zero.
2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)
For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is p = 1 - 7.2 where p is the minimum percentage of scores that fall within k standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.1 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.1 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 96 percent of the scores? Note: To answer part c you will need to solve the equation for k.
I need the answer as soon as possible
We are to estimate the mean of a population, u. The population variance is o. Both the population mean and varíance are unknown. I have twO suggestions as the estimators shown below, A and A2. Tell which one is better. Show all calculations and arguments. Az=
please see attached thanks
A sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4. Which of these values is guaranteed to increase if the sample size is decreased to 10? a. none of these is likely to be changed very much by decreasing n. b. the value of the variance c. the value of the mean d. the value of the standard error
Now suppose that the true mean exposure time is different from 8h/day, yet the sample mean falls in the acceptance region. In this case we would fail to reject H0 when it is false. This type of wrong conclusion is called a A. type II error B. type I error C. no error D. statistically significant
The random variable Z has mean 30 and variance 225. Calculate the limits between which you would expect the bulk of observations to lie for the random variable Z/3 − 7.
Q5. A random sample of size n = 10 from a normal population has mean = 5.68 and a standard deviation s = 0.29. Construct a 95% C.I. for the true variance o? of the population.
A random sample of ten observations was drawn from a normally distributed population. The data ues wore 6, 4, 4. 7, 5, 5, 4, 5. 6 and 4. A person tested the hypothesis Ha #26 versus As6 and scribbled down his calculations. When his friend came along and quickly wanted copy his work, he did not read properly and wrote down the following 1. The sample mean is equal to 4. 2. The sample variance is equal to 1 3 The rejection region is < tnon 10=-1.833. 4 The test statistic is 3.0. 5 The conclusion is to reject H because the test statistic I-30<-L833 Which ONE of the above statements is CORRECT