Answered: Summer high temperatures are…

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

Summer high temperatures are distributed normally with a mean of 97.4 and a standard deviation of 3.5. NOTE: Round your z−z-score to 2 decimal places before calculating a probability.

What is the summer high temperature that is the 7777th percentile of this distribution?

94.7
94.8
100.1
100
None of the above

What is the probability that a randomly selected summer day has a high temperature of 100?

0.7704
0.2296
0.0069
0.9931
0

What is the probability that a randomly selected summer day has a high temperature greater than 100?

0.0069
0.7704
0.9931
0.2296
0

What is the probability that a randomly selected group of 11 summer days have an average high temperature greater than 100?

0.9931
0.0069
0
0.7704
0.2296

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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