What must be true regarding the distribution of the population **Transcription for Educational Website**A simple random sample of size \( n = 10 \) is obtained from a population with \( \mu = 66 \) and \( \sigma = 17 \).**(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean?** Assuming that this condition is true, describe the sampling distribution of \( \bar{x} \).*Options:*- A. The population must be normally distributed and the sample size must be large. **(Selected)**- B. The population must be normally distributed.- C. The sampling distribution must be assumed to be normal.- D. Since the sample size is large enough, the population distribution does not need to be normal.Assuming the normal model can be used, describe the sampling distribution \( \bar{x} \). Choose the correct answer below.*Options:*- A. Normal, with \( \mu_{\bar{x}} = 66 \) and \( \sigma_{\bar{x}} = 17 \)- B. Normal, with \( \mu_{\bar{x}} = 66 \) and \( \sigma_{\bar{x}} = \frac{17}{\sqrt{10}} \) **(Selected)**- C. Normal, with \( \mu_{\bar{x}} = 66 \) and \( \sigma_{\bar{x}} = \frac{10}{\sqrt{17}} \)**(b) Assuming the normal model can be used, determine \( P(\bar{x} \leq 69.4) = \) ____ (Round to four decimal places as needed.)****(c) Assuming the normal model can be used, determine \( P(\bar{x} \geq 68.2) = \) ____ (Round to four decimal places as needed.)**

Given data: Mean = 66 Standard deviation = 17 Sample size =10

Answered: A simple random sample of size n = 10…

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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