**Question 3**A population of values has a normal distribution with \( \mu = 145.1 \) and \( \sigma = 60.3 \). You intend to draw a random sample of size \( n = 128 \). Please show your answers as numbers accurate to 4 decimal places.Find the probability that a single randomly selected value is between 129.6 and 139.2.\[ P(129.6 < X < 139.2) = \]Find the probability that a sample of size \( n = 128 \) is randomly selected with a mean between 129.6 and 139.2.\[ P(129.6 < \bar{x} < 139.2) = \] A population of values has an unknown distribution with \( \mu = 6.3 \) and \( \sigma = 83.3 \). You intend to draw a random sample of size \( n = 55 \).**What is the mean of the distribution of sample means?**\[\mu_{\bar{x}} = \,\,\_\_\_\_\_\_\_\_\_\_\,\,\,\,\, \text{(Please enter an exact answer.)}\]**What is the standard deviation of the distribution of sample means?**\[\sigma_{\bar{x}} = \,\,\_\_\_\_\_\_\_\_\,\,\,\,\, \text{(Please report your answer accurate to 2 decimal places.)}\]

A population of values has a normal distribution with μ = 145.1 and σ = 60.3. You intend to draw a random sample of size n = 128. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 129.6 and 139.2. P(129.6 X 139.2) = Find the probability that a sample of size n = 128 is randomly selected with a mean between 129.6 and 139.2. P(129.6139.2) =

A population of values has a normal distribution with μ = 145.1 and σ = 60.3. You intend to draw a random sample of size n = 128. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 129.6 and 139.2. P(129.6 X 139.2) = Find the probability that a sample of size n = 128 is randomly selected with a mean between 129.6 and 139.2. P(129.6139.2) =

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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