**Sample Problem: Understanding Sampling Distribution**Suppose a simple random sample of size $ n = 81 $ is obtained from a population with $ \mu = 87 $ and $ \sigma = 18 $.**Questions:**(a) Describe the sampling distribution of $ \bar{x} $.(b) What is $ P(\bar{x} \geq 89.2) $?(c) What is $ P(\bar{x} \leq 83) $?(d) What is $ P(84.6 < \bar{x} < 91.9) $?**Additional Resources:**- [View the Standard Normal Distribution Table (Page 1)](#)- [View the Standard Normal Distribution Table (Page 2)](#)Note: The links to the standard normal distribution table are intended for further reference to solve the given probability questions.

a) Central Limit Theorem for mean: If a random sample of size n is taken from a population having…

Suppose a simple random sample of size n= 81 is obtained from a population with p=87 and o = 18. (a) Describe the sampling distribution of x. (b) What is P (x> 89.2)? (c) What is P (xs83)? (d) What is P (84.6

Suppose a simple random sample of size n= 81 is obtained from a population with p=87 and o = 18. (a) Describe the sampling distribution of x. (b) What is P (x> 89.2)? (c) What is P (xs83)? (d) What is P (84.6

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

**Sample Problem: Understanding Sampling Distribution**

Suppose a simple random sample of size $ n = 81 $ is obtained from a population with $ \mu = 87 $ and $ \sigma = 18 $.

**Questions:**

(a) Describe the sampling distribution of $ \bar{x} $.

(b) What is $ P(\bar{x} \geq 89.2) $?

(c) What is $ P(\bar{x} \leq 83) $?

(d) What is $ P(84.6 < \bar{x} < 91.9) $?

**Additional Resources:**

- [View the Standard Normal Distribution Table (Page 1)](#)
- [View the Standard Normal Distribution Table (Page 2)](#)

Note: The links to the standard normal distribution table are intended for further reference to solve the given probability questions.

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