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Suppose x has a distribution with μ = 76 and a = 8. LUSE SALT (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? O Yes, the x distribution is normal with mean μ = 76 and a = 76 and σ = 2. = 0.5. O Yes, the x distribution is normal with mean O Yes, the x distribution is normal with mean μ = 76 and x = 8. O No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? O Yes, the x distribution is normal with mean = 76 and σx = 2. Yes, the x distribution is normal with mean = 76 and a = 0.5. Yes, the x distribution is normal with mean μ = 76 and x = 8. No, the sample size is too small. Find P(72 ≤ x ≤ 77). (Round your answer to four decimal places.)

Suppose x has a distribution with μ = 76 and a = 8. LUSE SALT (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? O Yes, the x distribution is normal with mean μ = 76 and a = 76 and σ = 2. = 0.5. O Yes, the x distribution is normal with mean O Yes, the x distribution is normal with mean μ = 76 and x = 8. O No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? O Yes, the x distribution is normal with mean = 76 and σx = 2. Yes, the x distribution is normal with mean = 76 and a = 0.5. Yes, the x distribution is normal with mean μ = 76 and x = 8. No, the sample size is too small. Find P(72 ≤ x ≤ 77). (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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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Suppose \( x \) has a distribution with \( \mu = 76 \) and \( \sigma = 8 \). **(a)** If random samples of size \( n = 16 \) are selected, can we say anything about the \( \bar{x} \) distribution of sample means? - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 2 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 0.5 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 8 \). - No, the sample size is too small. **(b)** If the original \( x \) distribution is normal, can we say anything about the \( \bar{x} \) distribution of random samples of size 16? - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 2 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 0.5 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 8 \). - No, the sample size is too small. Find \( P(72 \leq \bar{x} \leq 77) \). (Round your answer to four decimal places.)
Transcribed Image Text:Suppose \( x \) has a distribution with \( \mu = 76 \) and \( \sigma = 8 \). **(a)** If random samples of size \( n = 16 \) are selected, can we say anything about the \( \bar{x} \) distribution of sample means? - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 2 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 0.5 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 8 \). - No, the sample size is too small. **(b)** If the original \( x \) distribution is normal, can we say anything about the \( \bar{x} \) distribution of random samples of size 16? - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 2 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 0.5 \). - Yes, the \( \bar{x} \) distribution is normal with mean \( \mu_{\bar{x}} = 76 \) and \( \sigma_{\bar{x}} = 8 \). - No, the sample size is too small. Find \( P(72 \leq \bar{x} \leq 77) \). (Round your answer to four decimal places.)
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