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(ΣΧΣ5520) - (Include three decimal places.) b. Determine the z-score of EX = 5520 for a sample of 85. z = (Include three decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section: Chapter Questions
Problem 2PTTS
icon
Related questions
Question
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?
P(ΣΧ Σ5520)
(Include three decimal places.)
b. Determine the z-score of EX
5520 for a sample of 85.
(Include three decimal places.)
= Z
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 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? P(ΣΧ Σ5520) (Include three decimal places.) b. Determine the z-score of EX 5520 for a sample of 85. (Include three decimal places.) = Z
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning