A recent Time magazine reported the following information about a sample of workers in Italy and the United States. United States Italy Average length of workweek (hours) 42 38 Sample standard deviation of length of workweek (hours) 5 6 Sample size 600 700 We wouldd like to determine whether or not there is a significant difference between the average workweek in the US and that in Italy. A. What is the degrees of freedom for this test? 700 10 1296 600
A recent Time magazine reported the following information about a sample of workers in Italy and the United States. United States Italy Average length of workweek (hours) 42 38 Sample standard deviation of length of workweek (hours) 5 6 Sample size 600 700 We wouldd like to determine whether or not there is a significant difference between the average workweek in the US and that in Italy. A. What is the degrees of freedom for this test? 700 10 1296 600
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
A recent Time magazine reported the following information about a sample of workers in Italy and the United States.
|
|
United States |
Italy |
|
Average length of workweek (hours) |
42 |
38 |
|
Sample standard deviation of length of workweek (hours) |
5 |
6 |
|
|
600 |
700 |
We wouldd like to determine whether or not there is a significant difference between the average workweek in the US and that in Italy.
A. What is the degrees of freedom for this test?
700
10
1296
600
B. What is the p-value?
between 0.01 and 0.025
between 0.025 and 0.05
between 0.005 and 0.01
less than 0.005
more than 0.05
C. What is the critical value for this test? Assume 5% significance level.
± 1.645
1.96
± 1.96
1.645
D. What is your conclusion? Would you conclude that there is a significant difference between the average workweek in the US and that in Italy?
Reject the null. There is a significant difference between the average workweek in the US and that in Italy.
Fail to reject the null. There is no significant difference between the average workweek in the US and that in Italy.
Reject the null. There is no significant difference between the average workweek in the US and that in Italy.
Fail to reject the null. There is a significant difference between the average workweek in the US and that in Italy.
Expert Solution
Step 1
Given Data :
For Sample 1
x̄1 = 42
s1 = 5
n1 = 600
For Sample 2
x̄2 = 38
s2 = 6
n2 = 700
Significance level, α= 0.05
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