Answered: According to a flyer created by…

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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2. According to a flyer created by BroadwayPartyRental.com, their 18-inch helium balloons fly,
on average, for 32 hours. You purchase a SRS of 50 18-inch helium balloons from this company
and record how long they fly. You would like to know if the actual mean flight time of all balloons
differs from the advertised 32 hours.

a) State an appropriate pair of hypotheses for a significance test in this setting. Be sure to
define the parameter of interest.

b) b) A 95% confidence interval for the mean flight time (in hours) for all helium balloons is
(28.5, 31.4). Based on this interval, what conclusion would you make for a test of the
hypotheses in #1 at the α = 0.05 significance level?

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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