MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table.

Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01


Assume the populations are approximately normally distributed with unequal variances.
Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.

 

Minneapolis Cleveland
70.1 66.1
69.5 65.9
65.7 61
71.7 62.8
62 67.9
75.3 74.5
63.2 69.1
62 72.5
76.9 80.4
71.3 72.7
70.9 70.4
70.5 76.6
65.1 62.2
76.2 66.1
70.3 86
69.5 81
80.2 68.3
74.3 63.3
70.7  
64.6  

 

The Null Hypotheses is: H0: μ1 - μ2 = 0

What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)

HA: μ1 - μ2            

Based on these hypotheses, find the following. Round answers to 4 decimal places.

Test Statistic = 

p-value = 

The p-value is____________    

The correct decision is to_________________     .

The correct summary would be: ______________  the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland.

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