Answered: Count 11 Mean 48.3636 Median 45 StdDev…

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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Question

Paper airplanes In preparation for a regional paper
airplane competition, a student tried out her latest design.
The distances her plane traveled (in feet) in 11 trial
flights are given here. (The world record is an astounding
193.01 feet!) The data were 62, 52, 68, 23, 34, 45, 27, 42,
83, 56, and 40 feet. Here are some summaries:a) Construct a 95% confidence interval for the true
distance.
b) Based on your confidence interval, is it plausible that
the mean distance is 40 ft? Explain.
c) How would a 99% confidence interval for the
true distance differ from your answer in part a?
Explain briefly, without actually calculating a new
interval.d) How large a sample size would the student need to
get a confidence interval half as wide as the one you
got in part a, at the same confidence level?

Count
11
Mean
48.3636
Median
45
StdDev
18.0846
StdErr
5.45273
IntQRange
25
25th %tile
35.5000
75th %tile
60.5000
4
20
60
Distance (ft)
2.

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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