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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Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 40 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.6 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2.
 
Step 2 of 3 :  
Compute the value of the test statistic. Round your answer to two decimal places.
Expert Solution
Check Mark
Step 1: Determine the given data

From the provided information,

n subscript 1 equals 40
top enclose x subscript 1 equals 4.8
sigma subscript 1 equals 1.4
n subscript 2 equals 31
top enclose x subscript 2 equals 5.6
sigma subscript 2 equals 1.2
alpha equals 0.05

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