Assume that there is a sampling distribution of x of size 34 and they are selected at random from a normally distributed population with a mean of 45 and a standard deviation of 6.2. Answer each part a. Check the requirements b. Find the probability that 1 randomly selected person has a value less than 40. c. Find ug and og d. Find the probability that 34 randomly selected people have a value less than 40.

Assume that there is a sampling distribution of x of size 34 and they are selected at random from a normally distributed population with a mean of 45 and a standard deviation of 6.2. Answer each part a. Check the requirements b. Find the probability that 1 randomly selected person has a value less than 40. c. Find ug and og d. Find the probability that 34 randomly selected people have a value less than 40.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Sampling Distribution Problem Set**

Assume that there is a sampling distribution of $\bar{x}$ of size 34, and the samples are selected at random from a normally distributed population with a mean of 45 and a standard deviation of 6.2. Answer each part:

a. **Check the requirements**

b. **Find the probability that 1 randomly selected person has a value less than 40.**

c. **Find $\mu_{\bar{x}}$ and $\sigma_{\bar{x}}$.**

d. **Find the probability that 34 randomly selected people have a value less than 40.**

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