Mathematics, 05.02.2021 21:30 lexy5211

An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling. Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54

Required:
What is the correct null hypothesis?

Answers: 1

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Answer from: macy2571

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,

$H_0; (\mu_1-\mu_2)=0$

$H_a; (\mu_1-\mu_2)\neq 0$

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,

$H_0; (\mu_1-\mu_2)=D_0=0$

Versus

$H_a; (\mu_1-\mu_2)\neq 0$

As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,

$H_0; (\mu_1-\mu_2)=0$

$H_a; (\mu_1-\mu_2)\neq 0$

learn more about the null hypothesis here;

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Answer from: apere655

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

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Add the cents that add the left overs to get the first number

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