Application of The Central Limit Theorem for Sums 100 North Main Street is the tallest building in Winston-Salem, NC standing at 460ft tall (5520inches). Use the scenario above to determine the selected probabilities below. You may wish to use the Normal Distribution Calculator hosted by the University of lowa's Department of Mathematical Sciences. Remember: the formatting of this calculator may vary slightly from what is used in class. (link: Normal Distribution Calculator) a. Given that the heights of American women follow the distribution N(65, 3.5), what is the probability of that a random sample of 85 women, stacked head-to-foot, would be at least as tall as 100 North Main Street? Ρ(ΣΧ 5520) X (Include three decimal places.) 0.614 b. Determine the z-score of EX = 5520 for a sample of 85. = Z -0.289 x (Include three decimal places.)
Application of The Central Limit Theorem for Sums 100 North Main Street is the tallest building in Winston-Salem, NC standing at 460ft tall (5520inches). Use the scenario above to determine the selected probabilities below. You may wish to use the Normal Distribution Calculator hosted by the University of lowa's Department of Mathematical Sciences. Remember: the formatting of this calculator may vary slightly from what is used in class. (link: Normal Distribution Calculator) a. Given that the heights of American women follow the distribution N(65, 3.5), what is the probability of that a random sample of 85 women, stacked head-to-foot, would be at least as tall as 100 North Main Street? Ρ(ΣΧ 5520) X (Include three decimal places.) 0.614 b. Determine the z-score of EX = 5520 for a sample of 85. = Z -0.289 x (Include three decimal places.)
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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a. Given that the heights of American women follow the distribution \( N(65, 3.5) \), what is the probability of that a random sample of 85 women, stacked head-to-foot, would be at least as tall as 100 North Main Street?
\[ P(\Sigma X \geq 5520) = \boxed{0.614} \] (Include three decimal places.)
b. Determine the z-score of \( \Sigma X = 5520 \) for a sample of 85.
\[ z = \boxed{-0.289} \] (Include three decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60795216-6057-4287-aadf-f5e4b94ab525%2Fda1f3b67-e451-4ec6-b776-26f8eed3d6ca%2Fuzoytye_processed.png&w=3840&q=75)
Transcribed Image Text:**Application of The Central Limit Theorem for Sums**
100 North Main Street is the tallest building in Winston-Salem, NC, standing at 460 ft tall (5520 inches).
Use the scenario above to determine the selected probabilities below. You may wish to use the Normal Distribution Calculator hosted by the University of Iowa’s Department of Mathematical Sciences. Remember: the formatting of this calculator may vary slightly from what is used in class. (link: [Normal Distribution Calculator](#))
a. Given that the heights of American women follow the distribution \( N(65, 3.5) \), what is the probability of that a random sample of 85 women, stacked head-to-foot, would be at least as tall as 100 North Main Street?
\[ P(\Sigma X \geq 5520) = \boxed{0.614} \] (Include three decimal places.)
b. Determine the z-score of \( \Sigma X = 5520 \) for a sample of 85.
\[ z = \boxed{-0.289} \] (Include three decimal places.)
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