Answered: You are thinking of moving to either…

Name: You are thinking of moving to either Des Moines, Iowa or San Francisco
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Description: You are thinking of moving to either Des Moines, Iowa or San Francisco, California. A friend claims that Des Moines’s winters last forever, and so it is always cold in Des Moines. You decide to look at the temperature in each city on April 14 from 19

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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You are thinking of moving to either Des Moines, Iowa or San Francisco, California. A friend claims that Des Moines’s winters last forever, and so it is always cold in Des Moines. You decide to look at the temperature in each city on April 14 from 1995 to 2010 to see if the weather is really that much different in Des Moines in April than in San Francisco.

1. Based on the p-value, what decision would you make? Summarize your conclusion in the context of the temperature in Iowa and California.

2. The output also gives a 95% confidence interval for the mean difference in temperatures. What is this interval? Interpret the interval.

Paired Samples Test
Paired .
95% Confidence
Interval of the .
Upper
df
Sig. (2-tailed)
Pair 1 DesMoines - SanFrancisco
6.706
.162
15
.873

T-Test
[DataSetl] W:\syr\CourseInformation\MTH 112\dilmore\April14Temps.sav
Paired Samples Statistics
Mean
N
Std. Deviation Std. Error Mean
Pair 1
DesMoines
54.49
16
11.730
2.933
SanFrancisco
54.01
16
3.377
.844
Paired Samples Correlations
N
Correlation
Sig.
Pair 1 DesMoines & SanFrancisco
16
.155
.566
Paired Samples Test
Paired Differences
95%
Confidence.
Mean
Std. Deviation Std. Error Mean
Lower
Pair 1 DesMoines - SanFrancisco
.475
11.693
2.923
-5.756

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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