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Sagot :
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
Given information-
For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]
Versus
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
learn more about the null hypothesis here;
https://brainly.com/question/4454077
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