Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random variable x to the standard normal random variable, z, given the mean μ, and standard deviation . Recall that the mean was found to be μ = 30, and the standard deviation was found to be a = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two decimal places. = Z = X-H σ z = = x-μ O x-μ √24 34.5- Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places. √24 x-μ o x-μ √24 40.5- √24

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random
variable x to the standard normal random variable, z, given the mean μ, and standard deviation o.
7 =
Recall that the mean was found to be μ = 30, and the standard deviation was found to be o = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two
decimal places.
=
Z =
z =
x-μ
σ
x-μ
√24
34.5
=
х-м
o
Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places.
x-μ
J
x-μ
√24
40.5 -
√24
√24
Transcribed Image Text:Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random variable x to the standard normal random variable, z, given the mean μ, and standard deviation o. 7 = Recall that the mean was found to be μ = 30, and the standard deviation was found to be o = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two decimal places. = Z = z = x-μ σ x-μ √24 34.5 = х-м o Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places. x-μ J x-μ √24 40.5 - √24 √24
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman