Answered: the noontime temperatures recorded…

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

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Explaination:

Eureka is a weather station in the state of California and Essex is a weather station in the state of Massachusetts. On one summer day, the noontime temperatures recorded among weather stations in California had a population mean of 29.9° Celsius and a standard deviation of 1.1° Celsius. On that same day, the noontime temperatures among weather stations in Massachusetts had a population mean of 39.2° Celsius and a standard deviation of 4.4° Celsius. On the summer day, each state's distribution of noontime temperatures among its weather stations was clearly bell-shaped.

At the Eureka weather station, the noontime temperature on the summer day was 27° Celsius, and the noontime temperature at Essex was 24° Celsius.

(a) Find the E-scores of Eureka's noontime temperature on the summer day as a weather station in California and Essex's
noontime temperature on the summer day as a weather station in Massachusetts. Round your answers to two decimal
places.
E-score of Eureka's noontime temperature:
S-score of Essex's noontime temperature:I
(b) Relative to its population, which weather station had the higher noontime temperature?
Choose the best answer based on the -scores of the two noontime temperatures.
O Eureka
O Essex
It is unclear which weather station had the higher noontime temperature relative to Its
population

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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