researcher takes sample temperatures in om Atlanta (Group 2). Test the claim tha mperature in Atlanta. Use a significance ormally distributed with unequal varianc 4 decimal places. San Francisco 77.4 94.8 77 80.9 Atlanta 85.4 92.8 80.2 87.9
researcher takes sample temperatures in om Atlanta (Group 2). Test the claim tha mperature in Atlanta. Use a significance ormally distributed with unequal varianc 4 decimal places. San Francisco 77.4 94.8 77 80.9 Atlanta 85.4 92.8 80.2 87.9
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A researcher takes sample temperatures in Fahrenheit of 16 days from San Francisco (Group 1) and 22 days
from Atlanta (Group 2). Test the claim that the mean temperature in San Francisco is less than the mean
temperature in Atlanta. Use a significance level of a = 0.10. Assume the populations are approximately
normally distributed with unequal variances. You obtain the following two samples of data. Round answers
to 4 decimal places.
San Francisco
77.4
94.8
77
80.9
84
Ho: M₁
73.4
84.9
92
60.6
83.6
92.5
76.3
93.4
87.2
81.5
70.4
What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols
for each of the 6 spaces.
Atlanta
85.4
92.8
80.2
87.9
80.6
77.9
72.9
75.9
72.1
76.7
80.4
92.5
75.9
72.1
97.7
89.2
88.1
80
92.2
86
96.2
91.9
p-value
H₁: M₁
Based on the hypotheses, find the following:
Test Statistic = -0.635 X
= 0.2494 ×
OH₂
The p-value is greater than alpha
OF H₂
to alpha.
The correct decision is to fail to reject the null hypothesis
or
The correct summary would be: There is not enough evidence to support ✓
temperature in San Francisco is less than the mean temperature in Atlanta.
the claim that the mean
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Step 1: Given information
VIEWStep 2: Calculate sample mean and the sample standard deviation for San Franciso
VIEWStep 3: Calculate mean and standard deviation for sample 2.
VIEWStep 4: Determine the null and alternative hypotheses
VIEWStep 5: Calculate test statistics
VIEWStep 6: Calculate degree of freedom and p-value
VIEWStep 7: Determine conclusion
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