Suppose you draw a sample of size 5 where each observation comes from a Bernoulli distribution with probability of success equal to 0.4. Keep 4 digits after the period for all questions (e.g., 2.4505). a) Develop the sampling distribution for the sample mean in this case. Use a table and show your work. b) What is the standard error for this sampling distribution? Show your work.

Suppose you draw a sample of size 5 where each observation comes from a Bernoulli distribution with probability of success equal to 0.4. Keep 4 digits after the period for all questions (e.g., 2.4505). a) Develop the sampling distribution for the sample mean in this case. Use a table and show your work. b) What is the standard error for this sampling distribution? Show your work.

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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Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
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