Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster canhold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 199pounds and standard deviation 73 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation82 pounds. Use the TI-84 Plus calculator. Answer the three following questions. Part 1 of 3(a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average welght?The average weight ispounds.Part 2 of 3(b) If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will beexceeded? Round the answer to at least four decimal places.If a random sample 60 adult men ride the coaster, the probability that the maximum safeweight will be exceeded is Part 3 of 3(c) If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will beexceeded? Round the answer to at least four decimal places.If a random sample 60 adult women ride the coaster, the probability that the maximum safeweight will be exceeded is

Given that the , There are 60 riders. The maximum weight the coaster can hold safely is 12,000…

Answered: Roller coaster ride: A roller coaster…

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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Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 199 pounds and standard deviation 73 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation 82 pounds. Use the TI-84 Plus calculator. Answer the three following questions.

Part 1 of 3
(a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average welght?
The average weight is
pounds.
Part 2 of 3
(b) If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be
exceeded? Round the answer to at least four decimal places.
If a random sample 60 adult men ride the coaster, the probability that the maximum safe
weight will be exceeded is

Part 3 of 3
(c) If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be
exceeded? Round the answer to at least four decimal places.
If a random sample 60 adult women ride the coaster, the probability that the maximum safe
weight will be exceeded is

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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